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Johannes M. Schumacher

Citations

Many of the citations below have been collected in an experimental project, CitEc, where a more detailed citation analysis can be found. These are citations from works listed in RePEc that could be analyzed mechanically. So far, only a minority of all works could be analyzed. See under "Corrections" how you can help improve the citation analysis.

Working papers

  1. Kleinow, Torsten & Schumacher, Hans, 2016. "Financial fairness and conditional indexation," Other publications TiSEM 8beebbc8-47f4-4063-a099-e, Tilburg University, School of Economics and Management.

    Cited by:

    1. Chen, Damiaan H.J. & Beetsma, Roel M.W.J. & Broeders, Dirk W.G.A. & Pelsser, Antoon A.J., 2017. "Sustainability of participation in collective pension schemes: An option pricing approach," Insurance: Mathematics and Economics, Elsevier, vol. 74(C), pages 182-196.
    2. Bao, Hailong & Ponds, Eduard & Schumacher, Hans, 2015. "Multi-Period Risk Sharing under Financial Fairness," Other publications TiSEM 835f69a4-709c-4967-b15c-6, Tilburg University, School of Economics and Management.

  2. Roorda, B. & Schumacher, Hans, 2016. "Weakly time consistent concave valuations and their dual representations," Other publications TiSEM 132bdd0b-40dd-44bd-ab64-c, Tilburg University, School of Economics and Management.

    Cited by:

    1. Roorda Berend & Schumacher Hans, 2013. "Membership conditions for consistent families of monetary valuations," Statistics & Risk Modeling, De Gruyter, vol. 30(3), pages 255-280, August.
    2. Elisa Mastrogiacomo & Emanuela Rosazza Gianin, 2019. "Time-consistency of risk measures: how strong is such a property?," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 42(1), pages 287-317, June.

  3. Camlibel, M.K. & Schumacher, Hans, 2016. "Linear passive systems and maximal monotone mappings," Other publications TiSEM de20953c-62e8-46a6-8af4-7, Tilburg University, School of Economics and Management.

    Cited by:

    1. Ba Khiet Le, 2022. "Sliding Mode Observers for Time-Dependent Set-Valued Lur’e Systems Subject to Uncertainties," Journal of Optimization Theory and Applications, Springer, vol. 194(1), pages 290-305, July.

  4. Shu, Lei & Melenberg, Bertrand & Schumacher, Hans, 2016. "An Evaluation of the nFTK," Other publications TiSEM 7b43cdd2-2278-42b7-834a-1, Tilburg University, School of Economics and Management.

    Cited by:

    1. Balter, Anne & Kallestrup-Lamb, Malene & Rangvid, Jesper, 2018. "The Move Towards Riskier Pension Products in the World’s Best Pension Systems," Other publications TiSEM 48f91245-3b1a-4625-a171-b, Tilburg University, School of Economics and Management.
    2. Pelsser, Antoon & Salahnejhad, Ahmad & van den Akker, Ramon, 2016. "Market-Consistent Valuation of Pension Liabilities," Other publications TiSEM 50e0b61d-73b9-49a8-9443-6, Tilburg University, School of Economics and Management.

  5. Bao, Hailong & Ponds, Eduard & Schumacher, Hans, 2015. "Multi-Period Risk Sharing under Financial Fairness," Other publications TiSEM 835f69a4-709c-4967-b15c-6, Tilburg University, School of Economics and Management.

    Cited by:

    1. Sander Muns & Bas J. M. Werker, 2022. "Pareto Optimal Pension Risk Allocations," De Economist, Springer, vol. 170(1), pages 133-172, February.
    2. Pazdera, Jaroslav & Schumacher, Johannes M. & Werker, Bas J.M., 2017. "The composite iteration algorithm for finding efficient and financially fair risk-sharing rules," Journal of Mathematical Economics, Elsevier, vol. 72(C), pages 122-133.

  6. Roorda, B. & Schumacher, J.M., 2013. "Membership conditions for consistent families of monetary valuations," Other publications TiSEM 26b66f36-0dc9-4ccf-9b1b-0, Tilburg University, School of Economics and Management.

    Cited by:

    1. Berend Roorda & Johannes Schumacher, 2016. "Weakly time consistent concave valuations and their dual representations," Finance and Stochastics, Springer, vol. 20(1), pages 123-151, January.

  7. Reddy, P.V. & Schumacher, J.M. & Engwerda, J.C., 2012. "Optimal Management and Differential Games in the Presence of Threshold Effects - The Shallow Lake Model," Discussion Paper 2012-001, Tilburg University, Center for Economic Research.

    Cited by:

    1. Engwerda, Jacob, 2017. "Stabilization of an Uncertain Simple Fishery Management Game," Discussion Paper 2017-031, Tilburg University, Center for Economic Research.

  8. Heemels, W.P.M.H. & Camlibel, M.K. & Schumacher, J.M. & Brogliato, B., 2011. "Observer-based control of linear complementarity systems," Other publications TiSEM 38b3325c-4d33-4c2f-92f8-9, Tilburg University, School of Economics and Management.

    Cited by:

    1. S. Mohsen Miri & Sohrab Effati, 2017. "Optimal Control Formulation for Complementarity Dynamical Systems," Journal of Optimization Theory and Applications, Springer, vol. 175(2), pages 356-372, November.

  9. Wuerth, A.M. & Schumacher, J.M., 2011. "Risk aversion for nonsmooth utility functions," Other publications TiSEM d948cfad-5e83-46ce-ae72-6, Tilburg University, School of Economics and Management.

    Cited by:

    1. Schumacher, Johannes M., 2021. "Ex-ante estate division under strong Pareto efficiency," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 10-24.

  10. Berridge, S.J. & Schumacher, J.M., 2004. "Pricing High-Dimensional American Options Using Local Consistency Conditions," Discussion Paper 2004-19, Tilburg University, Center for Economic Research.

    Cited by:

    1. Marjon Ruijter & Kees Oosterlee, 2012. "Two-dimensional Fourier cosine series expansion method for pricing financial options," CPB Discussion Paper 225, CPB Netherlands Bureau for Economic Policy Analysis.

  11. Kerkhof, F.L.J. & Melenberg, B. & Schumacher, J.M., 2003. "Testing Expected Shortfall Models for Derivative Positions," Discussion Paper 2003-24, Tilburg University, Center for Economic Research.

    Cited by:

    1. Soren Bettels & Sojung Kim & Stefan Weber, 2022. "Multinomial Backtesting of Distortion Risk Measures," Papers 2201.06319, arXiv.org, revised Jan 2024.

  12. van den Broek, W.A. & Engwerda, J.C. & Schumacher, J.M., 2003. "Robust equilibria in indefinite linear-quadratic differential games," Other publications TiSEM 4a566f74-cf19-4cc9-852a-5, Tilburg University, School of Economics and Management.

    Cited by:

    1. Muhammad Wakhid Musthofa & Salmah & Jacob Engwerda & Ari Suparwanto, 2016. "Robust Optimal Control Design Using a Differential Game Approach for Open-Loop Linear Quadratic Descriptor Systems," Journal of Optimization Theory and Applications, Springer, vol. 168(3), pages 1046-1064, March.
    2. Engwerda, J.C., 2013. "A Numerical Algorithm to find All Scalar Feedback Nash Equilibria," Other publications TiSEM aa391d31-11df-4693-9583-1, Tilburg University, School of Economics and Management.
    3. I. Ivanov & Lars Imsland & B. Bogdanova, 2017. "Iterative algorithms for computing the feedback Nash equilibrium point for positive systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(4), pages 729-737, March.
    4. Engwerda, J.C., 2005. "A Numerical Algorithm to find Soft-Constrained Nash Equilibria in Scalar LQ-Games," Other publications TiSEM 69d5c8c9-7a12-406e-b324-0, Tilburg University, School of Economics and Management.
    5. Yiyong Cai & Warwick McKibbin, 2015. "Uncertainty and International Climate Change Negotiations," Italian Economic Journal: A Continuation of Rivista Italiana degli Economisti and Giornale degli Economisti, Springer;Società Italiana degli Economisti (Italian Economic Association), vol. 1(1), pages 101-115, March.
    6. Engwerda, J.C. & Salmah, Y., 2010. "Feedback Nash Equilibria for Linear Quadratic Descriptor Differential Games," Other publications TiSEM 8765590b-2ed9-4bef-8270-e, Tilburg University, School of Economics and Management.
    7. Engwerda, J.C., 2012. "Prospects of Tools from Differential Games in the Study Of Macroeconomics of Climate Change," Other publications TiSEM cac36d07-227b-4cf2-83cb-7, Tilburg University, School of Economics and Management.
    8. Jacob Engwerda, 2022. "Min-Max Robust Control in LQ-Differential Games," Dynamic Games and Applications, Springer, vol. 12(4), pages 1221-1279, December.
    9. Engwerda, J.C. & Salmah, Y., 2010. "Necessary and Sufficient Conditions for Feedback Nash Equilibria for the Affine Quadratic Differential," Discussion Paper 2010-78, Tilburg University, Center for Economic Research.
    10. Engwerda, J.C., 2005. "Uncertainty in a Fishery Management Game," Discussion Paper 2005-36, Tilburg University, Center for Economic Research.
    11. J. C. Engwerda & Salmah, 2013. "Necessary and Sufficient Conditions for Feedback Nash Equilibria for the Affine-Quadratic Differential Game," Journal of Optimization Theory and Applications, Springer, vol. 157(2), pages 552-563, May.
    12. Bingyan Han & Chi Seng Pun & Hoi Ying Wong, 2023. "Robust Time-inconsistent Linear-Quadratic Stochastic Controls: A Stochastic Differential Game Approach," Papers 2306.16982, arXiv.org.
    13. Engwerda, Jacob, 2017. "Stabilization of an Uncertain Simple Fishery Management Game," Discussion Paper 2017-031, Tilburg University, Center for Economic Research.

  13. van den Broek, W.A. & Engwerda, J.C. & Schumacher, J.M., 2003. "An equivalence result in linear-quadratic theory," Other publications TiSEM d65171ce-101d-4204-a1ec-f, Tilburg University, School of Economics and Management.

    Cited by:

    1. Engwerda, J.C., 2006. "Algorithms for Computing Nash Equilibria in Deterministic LQ Games," Discussion Paper 2006-109, Tilburg University, Center for Economic Research.
    2. Engwerda, J.C. & Salmah, Y. & Wijayanti, I.E., 2008. "The Optimal Linear Quadratic Feedback State Regulator Problem for Index One Descriptor Systems," Discussion Paper 2008-90, Tilburg University, Center for Economic Research.
    3. Engwerda, J.C., 2005. "A Numerical Algorithm to find Soft-Constrained Nash Equilibria in Scalar LQ-Games," Other publications TiSEM 69d5c8c9-7a12-406e-b324-0, Tilburg University, School of Economics and Management.
    4. Engwerda, J.C. & Weeren, A.J.T.M., 2008. "A result on output feedback linear quadratic control," Other publications TiSEM 4445249f-0fea-4d10-80d6-2, Tilburg University, School of Economics and Management.
    5. Engwerda, J.C., 2004. "The open-loop linear quadratic differential game revisited," Other publications TiSEM ff4e8556-547a-4157-a832-a, Tilburg University, School of Economics and Management.
    6. Engwerda, J.C., 2005. "Uncertainty in a Fishery Management Game," Discussion Paper 2005-36, Tilburg University, Center for Economic Research.

  14. Kerkhof, F.L.J. & Melenberg, B. & Schumacher, J.M., 2002. "Model Risk and Regulatory Capital," Discussion Paper 2002-27, Tilburg University, Center for Economic Research.

    Cited by:

    1. Kerkhof, F.L.J. & Melenberg, B., 2002. "Backtesting for Risk-Based Regulatory Capital," Other publications TiSEM 2363cf81-9720-41f2-913c-f, Tilburg University, School of Economics and Management.
    2. Yu Feng, 2019. "Theory and Application of Model Risk Quantification," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 3-2019.
    3. Michele Bonollo & Davide Morandi & Chiara Pederzoli & Costanza Torricelli, 2007. "Model risk and techniques for controlling market parameters. The experience in Banco Popolare," Centro Studi di Banca e Finanza (CEFIN) (Center for Studies in Banking and Finance) 0005, Universita di Modena e Reggio Emilia, Dipartimento di Economia "Marco Biagi".
    4. Kerkhof, Jeroen & Melenberg, Bertrand, 2004. "Backtesting for risk-based regulatory capital," Journal of Banking & Finance, Elsevier, vol. 28(8), pages 1845-1865, August.
    5. Dannenberg, Henry, 2011. "The Importance of Estimation Uncertainty in a Multi-Rating Class Loan Portfolio," IWH Discussion Papers 11/2011, Halle Institute for Economic Research (IWH).
    6. Sibbertsen, Philipp & Stahl, Gerhard & Luedtke, Corinna, 2008. "Measuring Model Risk," Hannover Economic Papers (HEP) dp-409, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    7. Kerkhof, F.L.J., 2003. "Model risk analysis for risk management and option pricing," Other publications TiSEM 01692df5-4c2d-4ed2-8108-4, Tilburg University, School of Economics and Management.

  15. Heemels, W.P.M.H. & Camlibel, M.K. & Schumacher, J.M., 2002. "On the dynamic analysis of piecewise-linear networks," Other publications TiSEM 5f3ee4aa-5cfb-4b0f-96c8-b, Tilburg University, School of Economics and Management.

    Cited by:

    1. Heemels, W.P.M.H. & Camlibel, M.K. & Schumacher, J.M. & Brogliato, B., 2011. "Observer-based control of linear complementarity systems," Other publications TiSEM 38b3325c-4d33-4c2f-92f8-9, Tilburg University, School of Economics and Management.
    2. Camlibel, M.K. & Schumacher, Hans, 2016. "Linear passive systems and maximal monotone mappings," Other publications TiSEM de20953c-62e8-46a6-8af4-7, Tilburg University, School of Economics and Management.

  16. Berridge, S.J. & Schumacher, J.M., 2002. "An Irregular Grid Approach for Pricing High Dimensional American Options," Discussion Paper 2002-99, Tilburg University, Center for Economic Research.

    Cited by:

    1. Vladislav Kargin, 2003. "Lattice Option Pricing By Multidimensional Interpolation," Finance 0309003, University Library of Munich, Germany, revised 29 Oct 2004.
    2. Berridge, S.J. & Schumacher, J.M., 2004. "Pricing High-Dimensional American Options Using Local Consistency Conditions," Discussion Paper 2004-19, Tilburg University, Center for Economic Research.
    3. Berridge, S.J. & Schumacher, J.M., 2004. "Using Localised Quadratic Functions on an Irregular Grid for Pricing High-Dimensional American Options," Other publications TiSEM c2b60e69-7945-44b2-b7b6-2, Tilburg University, School of Economics and Management.

  17. Engwerda, J.C. & van den Broek, W.A. & Schumacher, J.M., 2000. "Feedback Nash equilibria in uncertain infinite time horizon differential games," Other publications TiSEM c431993d-ee67-4a93-9e2d-f, Tilburg University, School of Economics and Management.

    Cited by:

    1. Yunhan Huang & Tao Zhang & Quanyan Zhu, 2022. "The Inverse Problem of Linear-Quadratic Differential Games: When is a Control Strategies Profile Nash?," Papers 2207.05303, arXiv.org, revised Jul 2022.
    2. Nikooeinejad, Z. & Heydari, M. & Loghmani, G.B., 2022. "A numerical iterative method for solving two-point BVPs in infinite-horizon nonzero-sum differential games: Economic applications," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 200(C), pages 404-427.

  18. Heemels, W.P.M.H. & Schumacher, J.M. & Weiland, S., 2000. "Linear complimentarity systems," Other publications TiSEM 6cdf0170-6ea9-4fdc-8cfa-6, Tilburg University, School of Economics and Management.

    Cited by:

    1. Xing Wang & Nan-jing Huang, 2014. "A Class of Differential Vector Variational Inequalities in Finite Dimensional Spaces," Journal of Optimization Theory and Applications, Springer, vol. 162(2), pages 633-648, August.
    2. Camlibel, M.K. & Heemels, W.P.M.H. & Schumacher, J.M., 2000. "Well-posedness of a class of linear networks with ideal diodes," Other publications TiSEM 4d0e45aa-e1b0-4329-b387-f, Tilburg University, School of Economics and Management.
    3. Ban, Xuegang (Jeff) & Pang, Jong-Shi & Liu, Henry X. & Ma, Rui, 2012. "Modeling and solving continuous-time instantaneous dynamic user equilibria: A differential complementarity systems approach," Transportation Research Part B: Methodological, Elsevier, vol. 46(3), pages 389-408.
    4. Heemels, W.P.M.H. & Camlibel, M.K. & Schumacher, J.M. & Brogliato, B., 2011. "Observer-based control of linear complementarity systems," Other publications TiSEM 38b3325c-4d33-4c2f-92f8-9, Tilburg University, School of Economics and Management.
    5. Ban, Xuegang (Jeff) & Pang, Jong-Shi & Liu, Henry X. & Ma, Rui, 2012. "Continuous-time point-queue models in dynamic network loading," Transportation Research Part B: Methodological, Elsevier, vol. 46(3), pages 360-380.
    6. Camlibel, M.K. & Schumacher, Hans, 2016. "Linear passive systems and maximal monotone mappings," Other publications TiSEM de20953c-62e8-46a6-8af4-7, Tilburg University, School of Economics and Management.
    7. Xing Wang & Nan-Jing Huang, 2013. "Differential Vector Variational Inequalities in Finite-Dimensional Spaces," Journal of Optimization Theory and Applications, Springer, vol. 158(1), pages 109-129, July.

  19. Roorda, B. & Engwerda, J.C. & Schumacher, J.M., 1999. "Performance of Delta-hedging strategies in interval models - A robustness study," Discussion Paper 1999-05, Tilburg University, Center for Economic Research.

    Cited by:

    1. Henry Lam & Zhenming Liu, 2014. "From Black-Scholes to Online Learning: Dynamic Hedging under Adversarial Environments," Papers 1406.6084, arXiv.org.

  20. Rosenthal, J. & Schumacher, J.M. & York, E.V., 1996. "On behaviors and convolutional codes," Other publications TiSEM 1c23f564-7bce-463e-898b-6, Tilburg University, School of Economics and Management.

    Cited by:

    1. Sandra Martín Sánchez & Francisco J. Plaza Martín, 2022. "A Decoding Algorithm for Convolutional Codes," Mathematics, MDPI, vol. 10(9), pages 1-13, May.
    2. Ángel Luis Muñoz Castañeda & Noemí DeCastro-García & Miguel V. Carriegos, 2021. "On the State Approach Representations of Convolutional Codes over Rings of Modular Integers," Mathematics, MDPI, vol. 9(22), pages 1-19, November.
    3. Joan-Josep Climent & Diego Napp & Raquel Pinto & Verónica Requena, 2021. "Minimal State-Space Representation of Convolutional Product Codes," Mathematics, MDPI, vol. 9(12), pages 1-16, June.
    4. Helmke, U. & Rosenthal, J. & Schumacher, J.M., 1997. "A controlability test for general first-order representations," Other publications TiSEM c1d2ef96-26c2-4c77-95bd-3, Tilburg University, School of Economics and Management.

  21. van der Schaft, A.J. & Schumacher, J.M., 1996. "The complementary-slackness class of hybrid systems," Other publications TiSEM fdbd7937-089c-4262-a7a9-2, Tilburg University, School of Economics and Management.

    Cited by:

    1. Camlibel, M.K. & Heemels, W.P.M.H. & Schumacher, J.M., 2000. "Well-posedness of a class of linear networks with ideal diodes," Other publications TiSEM 4d0e45aa-e1b0-4329-b387-f, Tilburg University, School of Economics and Management.
    2. Heemels, W.P.M.H. & Schumacher, J.M. & Weiland, S., 2000. "Linear complimentarity systems," Other publications TiSEM 6cdf0170-6ea9-4fdc-8cfa-6, Tilburg University, School of Economics and Management.
    3. Heemels, W.P.M.H. & Camlibel, M.K. & Schumacher, J.M. & Brogliato, B., 2011. "Observer-based control of linear complementarity systems," Other publications TiSEM 38b3325c-4d33-4c2f-92f8-9, Tilburg University, School of Economics and Management.
    4. Camlibel, M.K. & Heemels, W.P.M.H. & Schumacher, J.M., 2002. "Consistency of a time-stepping method for a class of piecewise-linear networks," Other publications TiSEM 93af5e10-23ee-41bc-b3fc-5, Tilburg University, School of Economics and Management.

  22. Geerts, A.H.W. & Schumacher, J.M., 1996. "Impulsive-Smooth Behavior in Multimode Systems. Part II : Minimality and Equivalence," Other publications TiSEM 89d257b6-6e69-4712-8554-5, Tilburg University, School of Economics and Management.

    Cited by:

    1. Rosenthal, J. & Schumacher, J.M., 1997. "Realization by inspection," Other publications TiSEM 28d79c0f-cd32-46ac-81e8-7, Tilburg University, School of Economics and Management.
    2. Geerts, A.H.W. & Schumacher, J.M., 1996. "Impulsive-Smooth Behavior in Multimode Systems. Part I : State-Space and Polynomial Representations," Other publications TiSEM feafa954-c509-4955-88f2-1, Tilburg University, School of Economics and Management.
    3. Ravi, M.S. & Rosenthal, J. & Schumacher, J.M., 1997. "Homogeneous behaviors," Other publications TiSEM 2b7d087c-568b-4013-a1a1-5, Tilburg University, School of Economics and Management.

  23. Geerts, A.H.W. & Schumacher, J.M., 1996. "Impulsive-Smooth Behavior in Multimode Systems. Part I : State-Space and Polynomial Representations," Other publications TiSEM feafa954-c509-4955-88f2-1, Tilburg University, School of Economics and Management.

    Cited by:

    1. Rosenthal, J. & Schumacher, J.M., 1997. "Realization by inspection," Other publications TiSEM 28d79c0f-cd32-46ac-81e8-7, Tilburg University, School of Economics and Management.
    2. Helmke, U. & Rosenthal, J. & Schumacher, J.M., 1997. "A controlability test for general first-order representations," Other publications TiSEM c1d2ef96-26c2-4c77-95bd-3, Tilburg University, School of Economics and Management.
    3. Geerts, A.H.W. & Schumacher, J.M., 1996. "Impulsive-Smooth Behavior in Multimode Systems. Part II : Minimality and Equivalence," Other publications TiSEM 89d257b6-6e69-4712-8554-5, Tilburg University, School of Economics and Management.

  24. Rosenthal, J. & Schumacher, J.M. & Willems, J.C., 1995. "Generic eigenvalue assignment by memoryless real output feedback," Other publications TiSEM 971c0413-f039-4eca-91a3-0, Tilburg University, School of Economics and Management.

    Cited by:

    1. Vasilii Zaitsev & Inna Kim, 2021. "Arbitrary Coefficient Assignment by Static Output Feedback for Linear Differential Equations with Non-Commensurate Lumped and Distributed Delays," Mathematics, MDPI, vol. 9(17), pages 1-16, September.
    2. J. Leventides & N. Karcanias, 1998. "Dynamic Pole Assignment Using Global, Blow Up Linearization: Low Complexity Solutions," Journal of Optimization Theory and Applications, Springer, vol. 96(1), pages 57-86, January.

  25. Cevik, M.K.K. & Schumacher, J.M., 1995. "The regulator problem with robust stability," Other publications TiSEM cf41c9f4-ab93-41e9-a76a-c, Tilburg University, School of Economics and Management.

    Cited by:

    1. Cevik, M.K.K. & Schumacher, J.M., 1997. "Regulation as an interpolation problem," Other publications TiSEM 48ef95bf-86dd-4932-860f-b, Tilburg University, School of Economics and Management.

  26. Weeren, A.J.T.M. & Schumacher, J.M. & Engwerda, J.C., 1995. "Coordination in continuously repeated games," Other publications TiSEM da44944d-7d7e-484d-9818-d, Tilburg University, School of Economics and Management.

    Cited by:

    1. Weeren, A.J.T.M., 1995. "Coordination in hierarchical control," Other publications TiSEM c24c0d84-75c9-4e80-a9cd-0, Tilburg University, School of Economics and Management.

  27. de Does, J. & Schumacher, J.M., 1994. "Interpretations of the gap topology : a survey," Other publications TiSEM 13e6ef2b-e384-4284-8836-0, Tilburg University, School of Economics and Management.

    Cited by:

    1. Cevik, M.K.K. & Schumacher, J.M., 1997. "Regulation as an interpolation problem," Other publications TiSEM 48ef95bf-86dd-4932-860f-b, Tilburg University, School of Economics and Management.

  28. Weeren, A.J.T.M. & Schumacher, J.M. & Engwerda, J.C., 1994. "Asymptotic analysis of Nash equilibria in nonzero-sum linear-quadratic differential games : The two player case," Research Memorandum FEW 634, Tilburg University, School of Economics and Management.

    Cited by:

    1. Engwerda, J.C., 1999. "On the solution set of scalar algebraic Riccati equations," Other publications TiSEM 11c4c9d5-d01b-4372-a18b-1, Tilburg University, School of Economics and Management.
    2. Engwerda, J.C., 1996. "The Infinite Horizon Open-Loop Nash LQ-Game," Other publications TiSEM bb9762e7-faab-4ad2-8dd8-4, Tilburg University, School of Economics and Management.
    3. Engwerda, J.C., 2000. "The solution set of the N-player scalar feedback Nash algebraic Riccati equations," Other publications TiSEM 08cf862d-500f-44fd-983a-0, Tilburg University, School of Economics and Management.
    4. Engwerda, J.C., 1996. "On the Open-Loop Nash Equilibrium in LQ-Games," Research Memorandum 726, Tilburg University, School of Economics and Management.
    5. Engwerda, J.C., 1998. "On the Scalar Feedback Nash Equilibria in the Infinite Horizon LQ-Game," Other publications TiSEM 3142d140-f18c-4699-be28-9, Tilburg University, School of Economics and Management.
    6. Weeren, A.J.T.M. & Schumacher, J.M. & Engwerda, J.C., 1995. "Coordination in continuously repeated games," Other publications TiSEM da44944d-7d7e-484d-9818-d, Tilburg University, School of Economics and Management.
    7. Engwerda, J.C., 2013. "A Numerical Algorithm to find All Scalar Feedback Nash Equilibria," Other publications TiSEM aa391d31-11df-4693-9583-1, Tilburg University, School of Economics and Management.
    8. Engwerda, J.C. & van Aarle, B. & Plasmans, J.E.J. & Weeren, A.J.T.M., 2012. "Debt Stabilization Games in the Presence of Risk Premia," Discussion Paper 2012-056, Tilburg University, Center for Economic Research.
    9. Engwerda, J.C. & Weeren, A.J.T.M., 1995. "The open-loop Nash equilibrium in LQ-games revisited," Other publications TiSEM 1792b29c-db37-431e-b900-8, Tilburg University, School of Economics and Management.
    10. Bas Van Aarle & Jacob Engwerda & Joseph Plasmans & Arie Weeren, 2001. "Macroeconomic Policy Interaction under EMU: A Dynamic Game Approach," Open Economies Review, Springer, vol. 12(1), pages 29-60, January.
    11. Engwerda, J.C. & Weeren, A.J.T.M., 1994. "On the relationship between the open-loop Nash equilibrium in LQ-games and the inertia of a matrix," Other publications TiSEM 4fa6389c-bbe2-4bfc-bb58-3, Tilburg University, School of Economics and Management.
    12. Engwerda, J.C. & Salmah, Y., 2010. "Necessary and Sufficient Conditions for Feedback Nash Equilibria for the Affine Quadratic Differential," Discussion Paper 2010-78, Tilburg University, Center for Economic Research.
    13. Weeren, A.J.T.M., 1995. "Coordination in hierarchical control," Other publications TiSEM c24c0d84-75c9-4e80-a9cd-0, Tilburg University, School of Economics and Management.
    14. Weeren, A. J. T. M. & Schumacher, J. M. & Engwerda, J. C., 1999. "Strategic behavior and noncooperative hierarchical control," Journal of Economic Dynamics and Control, Elsevier, vol. 23(4), pages 641-669, February.
    15. van den Broek, W.A. & Engwerda, J.C. & Schumacher, J.M., 2003. "An equivalence result in linear-quadratic theory," Other publications TiSEM d65171ce-101d-4204-a1ec-f, Tilburg University, School of Economics and Management.
    16. J. C. Engwerda & Salmah, 2013. "Necessary and Sufficient Conditions for Feedback Nash Equilibria for the Affine-Quadratic Differential Game," Journal of Optimization Theory and Applications, Springer, vol. 157(2), pages 552-563, May.
    17. Engwerda, J.C., 2000. "Feedback Nash equilibria in the scalar infinite horizon LQ-Game," Other publications TiSEM 58ccf964-4ca1-4d67-9a68-a, Tilburg University, School of Economics and Management.
    18. Alberto Bressan & Khai T. Nguyen, 2018. "Stability of Feedback Solutions for Infinite Horizon Noncooperative Differential Games," Dynamic Games and Applications, Springer, vol. 8(1), pages 42-78, March.

  29. Kuijper, M. & Schumacher, J.M., 1993. "Input/output structure of linear differential/algebraic systems," Other publications TiSEM a20b7428-f967-455a-b80f-8, Tilburg University, School of Economics and Management.

    Cited by:

    1. Heemels, W.P.M.H. & Schumacher, J.M. & Weiland, S., 2000. "Linear complimentarity systems," Other publications TiSEM 6cdf0170-6ea9-4fdc-8cfa-6, Tilburg University, School of Economics and Management.

  30. Schumacher, J.M., 1992. "A pointwise criterion for controller robustness," Other publications TiSEM e81ae511-9b41-49f5-9836-3, Tilburg University, School of Economics and Management.

    Cited by:

    1. Cevik, M.K.K. & Schumacher, J.M., 1997. "Regulation as an interpolation problem," Other publications TiSEM 48ef95bf-86dd-4932-860f-b, Tilburg University, School of Economics and Management.
    2. Cevik, M.K.K. & Schumacher, J.M., 1995. "The regulator problem with robust stability," Other publications TiSEM cf41c9f4-ab93-41e9-a76a-c, Tilburg University, School of Economics and Management.

  31. Kuijper, M. & Schumacher, J.M., 1990. "Realization of autoregressive equations in pencil and descriptor form," Other publications TiSEM 3c164c8f-c092-448d-8ae7-9, Tilburg University, School of Economics and Management.

    Cited by:

    1. Rosenthal, J. & Schumacher, J.M., 1997. "Realization by inspection," Other publications TiSEM 28d79c0f-cd32-46ac-81e8-7, Tilburg University, School of Economics and Management.
    2. Ángel Luis Muñoz Castañeda & Noemí DeCastro-García & Miguel V. Carriegos, 2021. "On the State Approach Representations of Convolutional Codes over Rings of Modular Integers," Mathematics, MDPI, vol. 9(22), pages 1-19, November.
    3. Schumacher, J.M., 1992. "A pointwise criterion for controller robustness," Other publications TiSEM e81ae511-9b41-49f5-9836-3, Tilburg University, School of Economics and Management.
    4. Kuijper, M. & Schumacher, J.M., 1991. "Minimality of descriptor representations under external equivalence," Other publications TiSEM 47bb4ea8-690e-4693-ac2d-6, Tilburg University, School of Economics and Management.
    5. Ravi, M.S. & Rosenthal, J. & Schumacher, J.M., 1997. "Homogeneous behaviors," Other publications TiSEM 2b7d087c-568b-4013-a1a1-5, Tilburg University, School of Economics and Management.
    6. Kuijper, M. & Schumacher, J.M., 1992. "Realization and partial fractions," Other publications TiSEM 5243353a-8367-4125-be19-d, Tilburg University, School of Economics and Management.
    7. de Does, J. & Schumacher, J.M., 1994. "Continuity of singular perturbations in the graph topology," Other publications TiSEM 45fc5e97-e84d-4eb4-a8cd-0, Tilburg University, School of Economics and Management.

  32. Schumacher, J.M., 1988. "Transformations of linear systems under external equivalence," Other publications TiSEM f42a7b5c-91c0-4082-b9d2-0, Tilburg University, School of Economics and Management.

    Cited by:

    1. Rosenthal, J. & Schumacher, J.M., 1997. "Realization by inspection," Other publications TiSEM 28d79c0f-cd32-46ac-81e8-7, Tilburg University, School of Economics and Management.
    2. Kuijper, M. & Schumacher, J.M., 1991. "Minimality of descriptor representations under external equivalence," Other publications TiSEM 47bb4ea8-690e-4693-ac2d-6, Tilburg University, School of Economics and Management.
    3. Ravi, M.S. & Rosenthal, J. & Schumacher, J.M., 1997. "Homogeneous behaviors," Other publications TiSEM 2b7d087c-568b-4013-a1a1-5, Tilburg University, School of Economics and Management.

  33. Schumacher, J.M., 1985. "A geometric approach to the singular filtering problem," Other publications TiSEM 0e407bf8-8686-465d-9c67-4, Tilburg University, School of Economics and Management.

    Cited by:

    1. Douglas, Randal K. & Chung, Walter H. & Malladi, Durga P. & Chen, Robert H. & Speyer, Jason L. & Mingori, D. Lewis, 1997. "Integration Of Fault Detection And Indentification Into A Fault Tolerant Automated Highway System," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt62t7x79s, Institute of Transportation Studies, UC Berkeley.

  34. Schumacher, J.M., 1983. "The role of the dissipation matrix in singular optimal control," Other publications TiSEM c643d99a-ddb6-4f6c-a4d6-f, Tilburg University, School of Economics and Management.

    Cited by:

    1. Douglas, Randal K. & Chung, Walter H. & Malladi, Durga P. & Chen, Robert H. & Speyer, Jason L. & Mingori, D. Lewis, 1997. "Integration Of Fault Detection And Indentification Into A Fault Tolerant Automated Highway System," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt62t7x79s, Institute of Transportation Studies, UC Berkeley.
    2. Douglas, R. K. & Speyer, J. L. & Mingori, D. L. & Chen, R. H. & Malladi, D. P. & Chung, W. H., 1996. "Fault Detection And Identification With Application To Advanced Vehicle Control Systems: Final Report," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt6ff2r546, Institute of Transportation Studies, UC Berkeley.

  35. Schumacher, J.M., 1983. "The algebraic regulator problem from the state-space point of view," Other publications TiSEM 5779f1b9-6092-4e3e-8daf-6, Tilburg University, School of Economics and Management.

    Cited by:

    1. Schumacher, J.M., 1983. "Finite-dimensional regulators for a class of infinite-dimensional systems," Other publications TiSEM 4fdcad40-715b-434f-8917-a, Tilburg University, School of Economics and Management.

  36. Schumacher, J.M., 1982. "Regulator synthesis using (C,A,B)-pairs," Other publications TiSEM c3a99310-ebb7-4868-8af3-2, Tilburg University, School of Economics and Management.

    Cited by:

    1. Schumacher, J.M., 1983. "On a conjecture of Basile and Marro," Other publications TiSEM c55efa93-f6f8-401c-98bb-6, Tilburg University, School of Economics and Management.
    2. Schumacher, J.M., 1983. "The algebraic regulator problem from the state-space point of view," Other publications TiSEM 5779f1b9-6092-4e3e-8daf-6, Tilburg University, School of Economics and Management.

  37. Schumacher, J.M., 1980. "A complement on pole placement," Other publications TiSEM b2551d06-13c0-49ba-857d-8, Tilburg University, School of Economics and Management.

    Cited by:

    1. Schumacher, J.M., 1983. "The algebraic regulator problem from the state-space point of view," Other publications TiSEM 5779f1b9-6092-4e3e-8daf-6, Tilburg University, School of Economics and Management.

  38. Schumacher, J.M., 1980. "Compensator synthesis using (C,A,B)-pairs," Other publications TiSEM 7388dba7-dc63-42d5-bdfe-3, Tilburg University, School of Economics and Management.

    Cited by:

    1. Schumacher, J.M., 1983. "On a conjecture of Basile and Marro," Other publications TiSEM c55efa93-f6f8-401c-98bb-6, Tilburg University, School of Economics and Management.

Articles

  1. Johannes M. Schumacher & Puduru Viswanadha Reddy & Jacob C. Engwerda, 2022. "Jump Equilibria in Public-Good Differential Games with a Single State Variable," Dynamic Games and Applications, Springer, vol. 12(3), pages 784-812, September.

    Cited by:

    1. Florian Wagener, 2022. "Dynamic Games in Environmental Economics and Management," Dynamic Games and Applications, Springer, vol. 12(3), pages 747-750, September.

  2. Schumacher, Johannes M., 2018. "Linear Versus Nonlinear Allocation Rules In Risk Sharing Under Financial Fairness," ASTIN Bulletin, Cambridge University Press, vol. 48(3), pages 995-1024, September.

    Cited by:

    1. Chen, An & Nguyen, Thai & Rach, Manuel, 2021. "Optimal collective investment: The impact of sharing rules, management fees and guarantees," Journal of Banking & Finance, Elsevier, vol. 123(C).
    2. Denuit, Michel & Robert, Christian Y., 2021. "From risk sharing to pure premium for a large number of heterogeneous losses," Insurance: Mathematics and Economics, Elsevier, vol. 96(C), pages 116-126.
    3. Chen, An & Rach, Manuel, 2023. "Actuarial fairness and social welfare in mixed-cohort tontines," Insurance: Mathematics and Economics, Elsevier, vol. 111(C), pages 214-229.
    4. Nicole Branger & An Chen & Antje Mahayni & Thai Nguyen, 2023. "Optimal collective investment: an analysis of individual welfare," Mathematics and Financial Economics, Springer, volume 17, number 5, June.
    5. Hieber, Peter & Lucas, Nathalie, 2020. "Life-Care Tontines," LIDAM Discussion Papers ISBA 2020026, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    6. An Chen & Thai Nguyen & Manuel Rach, 2021. "A collective investment problem in a stochastic volatility environment: The impact of sharing rules," Annals of Operations Research, Springer, vol. 302(1), pages 85-109, July.
    7. Bernard, C. & De Gennaro Aquino, L. & Vanduffel, S., 2023. "Optimal multivariate financial decision making," European Journal of Operational Research, Elsevier, vol. 307(1), pages 468-483.
    8. Denuit, M. & Robert, C.Y., 2020. "From risk sharing to pure premium for a large number of heterogeneous losses," LIDAM Discussion Papers ISBA 2020015, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    9. Fallou Niakh, 2023. "A fixed point approach for computing actuarially fair Pareto optimal risk-sharing rules," Papers 2303.05421, arXiv.org, revised Jul 2023.

  3. Bao, Hailong & Ponds, Eduard H.M. & Schumacher, Johannes M., 2017. "Multi-period risk sharing under financial fairness," Insurance: Mathematics and Economics, Elsevier, vol. 72(C), pages 49-66.
    See citations under working paper version above.
  4. Torsten Kleinow & Johannes M. Schumacher, 2017. "Financial fairness and conditional indexation," Scandinavian Actuarial Journal, Taylor & Francis Journals, vol. 2017(8), pages 651-669, September.
    See citations under working paper version above.
  5. Pazdera, Jaroslav & Schumacher, Johannes M. & Werker, Bas J.M., 2017. "The composite iteration algorithm for finding efficient and financially fair risk-sharing rules," Journal of Mathematical Economics, Elsevier, vol. 72(C), pages 122-133.

    Cited by:

    1. Koster, Maurice & Boonen, Tim J., 2019. "Constrained stochastic cost allocation," Mathematical Social Sciences, Elsevier, vol. 101(C), pages 20-30.
    2. Schumacher, Johannes M., 2021. "Ex-ante estate division under strong Pareto efficiency," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 10-24.
    3. Sander Muns & Bas J. M. Werker, 2022. "Pareto Optimal Pension Risk Allocations," De Economist, Springer, vol. 170(1), pages 133-172, February.
    4. Johannes M. Schumacher, 2018. "A Multi-Objective Interpretation of Optimal Transport," Journal of Optimization Theory and Applications, Springer, vol. 176(1), pages 94-119, January.
    5. Fallou Niakh, 2023. "A fixed point approach for computing actuarially fair Pareto optimal risk-sharing rules," Papers 2303.05421, arXiv.org, revised Jul 2023.

  6. Pazdera, Jaroslav & Schumacher, Johannes M. & Werker, Bas J.M., 2016. "Cooperative investment in incomplete markets under financial fairness," Insurance: Mathematics and Economics, Elsevier, vol. 71(C), pages 394-406.

    Cited by:

    1. Chen, An & Nguyen, Thai & Rach, Manuel, 2021. "Optimal collective investment: The impact of sharing rules, management fees and guarantees," Journal of Banking & Finance, Elsevier, vol. 123(C).
    2. Chen, An & Rach, Manuel, 2023. "Actuarial fairness and social welfare in mixed-cohort tontines," Insurance: Mathematics and Economics, Elsevier, vol. 111(C), pages 214-229.
    3. Nicole Branger & An Chen & Antje Mahayni & Thai Nguyen, 2023. "Optimal collective investment: an analysis of individual welfare," Mathematics and Financial Economics, Springer, volume 17, number 5, June.
    4. An Chen & Thai Nguyen & Manuel Rach, 2021. "A collective investment problem in a stochastic volatility environment: The impact of sharing rules," Annals of Operations Research, Springer, vol. 302(1), pages 85-109, July.
    5. Bernard, C. & De Gennaro Aquino, L. & Vanduffel, S., 2023. "Optimal multivariate financial decision making," European Journal of Operational Research, Elsevier, vol. 307(1), pages 468-483.
    6. Sander Muns & Bas J. M. Werker, 2022. "Pareto Optimal Pension Risk Allocations," De Economist, Springer, vol. 170(1), pages 133-172, February.
    7. Pazdera, Jaroslav & Schumacher, Johannes M. & Werker, Bas J.M., 2017. "The composite iteration algorithm for finding efficient and financially fair risk-sharing rules," Journal of Mathematical Economics, Elsevier, vol. 72(C), pages 122-133.

  7. Berend Roorda & Johannes M. Schumacher, 2016. "Weakly time consistent concave valuations and their dual representations," Finance and Stochastics, Springer, vol. 20(1), pages 123-151, January.
    See citations under working paper version above.
  8. Roorda Berend & Schumacher Hans, 2013. "Membership conditions for consistent families of monetary valuations," Statistics & Risk Modeling, De Gruyter, vol. 30(3), pages 255-280, August.
    See citations under working paper version above.
  9. Würth, Andreas & Schumacher, J.M., 2011. "Risk aversion for nonsmooth utility functions," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 109-128, March.
    See citations under working paper version above.
  10. Kerkhof, Jeroen & Melenberg, Bertrand & Schumacher, Hans, 2010. "Model risk and capital reserves," Journal of Banking & Finance, Elsevier, vol. 34(1), pages 267-279, January.

    Cited by:

    1. Radu Tunaru, 2015. "Model Risk in Financial Markets:From Financial Engineering to Risk Management," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 9524, January.
    2. Marcelo Brutti Righi & Fernanda Maria Muller & Marlon Ruoso Moresco, 2017. "On a robust risk measurement approach for capital determination errors minimization," Papers 1707.09829, arXiv.org, revised Oct 2020.
    3. Farkas, Walter & Fringuellotti, Fulvia & Tunaru, Radu, 2020. "A cost-benefit analysis of capital requirements adjusted for model risk," Journal of Corporate Finance, Elsevier, vol. 65(C).
    4. Christophe BOUCHER & Grégory JANNIN & Patrick KOUONTCHOU & Bertrand MAILLET, 2013. "An Economic Evaluation of Model Risk In Long-term Asset Allocations," LEO Working Papers / DR LEO 2246, Orleans Economics Laboratory / Laboratoire d'Economie d'Orleans (LEO), University of Orleans.
    5. Valeria Bignozzi & Andreas Tsanakas, 2016. "Parameter Uncertainty and Residual Estimation Risk," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 83(4), pages 949-978, December.
    6. Annika Homburg & Christian H. Weiß & Gabriel Frahm & Layth C. Alwan & Rainer Göb, 2021. "Analysis and Forecasting of Risk in Count Processes," JRFM, MDPI, vol. 14(4), pages 1-25, April.
    7. Yu Feng & Ralph Rudd & Christopher Baker & Qaphela Mashalaba & Melusi Mavuso & Erik Schlögl, 2021. "Quantifying the Model Risk Inherent in the Calibration and Recalibration of Option Pricing Models," Risks, MDPI, vol. 9(1), pages 1-20, January.
    8. Barrieu, Pauline & Scandolo, Giacomo, 2015. "Assessing financial model risk," European Journal of Operational Research, Elsevier, vol. 242(2), pages 546-556.
    9. Mariano González-Sánchez & Eva M. Ibáñez Jiménez & Ana I. Segovia San Juan, 2022. "Market and model risks: a feasible joint estimate methodology," Risk Management, Palgrave Macmillan, vol. 24(3), pages 187-213, September.
    10. Paraskevi Katsiampa & Paul B. McGuinness & Jean-Philippe Serbera & Kun Zhao, 2022. "The financial and prudential performance of Chinese banks and Fintech lenders in the era of digitalization," Review of Quantitative Finance and Accounting, Springer, vol. 58(4), pages 1451-1503, May.
    11. Bertram, Philip & Sibbertsen, Philipp & Stahl, Gerhard, 2011. "About the Impact of Model Risk on Capital Reserves: A Quantitative Analysis," Hannover Economic Papers (HEP) dp-469, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    12. Lazar, Emese & Qi, Shuyuan, 2022. "Model risk in the over-the-counter market," European Journal of Operational Research, Elsevier, vol. 298(2), pages 769-784.
    13. Christophe Boucher & Benjamin Hamidi & Patrick Kouontchou & Bertrand Maillet, 2012. "Une évaluation économique du risque de modèle pour les investisseurs de long-terme," Post-Print hal-01386007, HAL.
    14. Xiaochun Liu, 2017. "An integrated macro‐financial risk‐based approach to the stressed capital requirement," Review of Financial Economics, John Wiley & Sons, vol. 34(1), pages 86-98, September.
    15. Yu Feng, 2019. "Theory and Application of Model Risk Quantification," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 3-2019.
    16. Laurence Carassus & Johannes Wiesel, 2023. "Strategies with minimal norm are optimal for expected utility maximization under high model ambiguity," Papers 2306.01503, arXiv.org, revised Jan 2024.
    17. Cosma, Simona & Rimo, Giuseppe & Torluccio, Giuseppe, 2023. "Knowledge mapping of model risk in banking," International Review of Financial Analysis, Elsevier, vol. 89(C).
    18. Carol Alexander & Jose Maria Sarabia, 2010. "Endogenizing Model Risk to Quantile Estimates," ICMA Centre Discussion Papers in Finance icma-dp2010-07, Henley Business School, University of Reading.
    19. Mitra, Sovan, 2017. "Efficient option risk measurement with reduced model risk," Insurance: Mathematics and Economics, Elsevier, vol. 72(C), pages 163-174.
    20. Aussenegg, Wolfgang & Resch, Florian & Winkler, Gerhard, 2011. "Pitfalls and remedies in testing the calibration quality of rating systems," Journal of Banking & Finance, Elsevier, vol. 35(3), pages 698-708, March.
    21. Gourieroux, Christian & Tiomo, Andre, 2019. "The Evaluation of Model Risk for Probability of Default and Expected Loss," MPRA Paper 95795, University Library of Munich, Germany.
    22. Katherine Uylangco & Siqiwen Li, 2016. "An evaluation of the effectiveness of Value-at-Risk (VaR) models for Australian banks under Basel III," Australian Journal of Management, Australian School of Business, vol. 41(4), pages 699-718, November.
    23. Mohammed Berkhouch & Fernanda Maria Müller & Ghizlane Lakhnati & Marcelo Brutti Righi, 2022. "Deviation-Based Model Risk Measures," Computational Economics, Springer;Society for Computational Economics, vol. 59(2), pages 527-547, February.
    24. Barrieu, Pauline & Scandolo, Giacomo, 2014. "Assessing financial model risk," LSE Research Online Documents on Economics 60084, London School of Economics and Political Science, LSE Library.
    25. Carol Alexander & José María Sarabia, 2012. "Quantile Uncertainty and Value‐at‐Risk Model Risk," Risk Analysis, John Wiley & Sons, vol. 32(8), pages 1293-1308, August.
    26. Pflug, Georg Ch. & Pichler, Alois & Wozabal, David, 2012. "The 1/N investment strategy is optimal under high model ambiguity," Journal of Banking & Finance, Elsevier, vol. 36(2), pages 410-417.
    27. Shige Peng & Shuzhen Yang, 2020. "Distributional uncertainty of the financial time series measured by G-expectation," Papers 2011.09226, arXiv.org, revised Jul 2021.
    28. Thomas Breuer & Imre Csiszar, 2013. "Measuring Model Risk," Papers 1301.4832, arXiv.org.
    29. Emese Lazar & Shuyuan Qi & Radu Tunaru, 2020. "Measures of Model Risk in Continuous-time Finance Models," Papers 2010.08113, arXiv.org, revised Oct 2020.
    30. Emese Lazar & Ning Zhang, 2017. "Model Risk of Expected Shortfall," ICMA Centre Discussion Papers in Finance icma-dp2017-10, Henley Business School, University of Reading.
    31. Bernard, Carole & Vanduffel, Steven, 2015. "A new approach to assessing model risk in high dimensions," Journal of Banking & Finance, Elsevier, vol. 58(C), pages 166-178.
    32. Christophe Boucher & Jon Danielsson & Patrick Kouontchou & Bertrand Maillet, 2014. "Risk models-at-risk," Post-Print hal-02312332, HAL.
    33. Roberto Baviera & Giulia Bianchi, 2021. "Model risk in mean-variance portfolio selection: an analytic solution to the worst-case approach," Journal of Global Optimization, Springer, vol. 81(2), pages 469-491, October.
    34. Georges Tsafack & James Cataldo, 2021. "Backtesting and estimation error: value-at-risk overviolation rate," Empirical Economics, Springer, vol. 61(3), pages 1351-1396, September.
    35. Valeriane Jokhadze & Wolfgang M. Schmidt, 2020. "Measuring Model Risk In Financial Risk Management And Pricing," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 23(02), pages 1-37, April.
    36. Li, Dan & Clements, Adam & Drovandi, Christopher, 2023. "A Bayesian approach for more reliable tail risk forecasts," Journal of Financial Stability, Elsevier, vol. 64(C).
    37. Jan Obłój & Johannes Wiesel, 2021. "Distributionally robust portfolio maximization and marginal utility pricing in one period financial markets," Mathematical Finance, Wiley Blackwell, vol. 31(4), pages 1454-1493, October.
    38. Detering, Nils & Packham, Natalie, 2018. "Model risk of contingent claims," IRTG 1792 Discussion Papers 2018-036, Humboldt University of Berlin, International Research Training Group 1792 "High Dimensional Nonstationary Time Series".
    39. Nikola Tarashev, 2009. "Measuring portfolio credit risk correctly: why parameter uncertainty matters," BIS Working Papers 280, Bank for International Settlements.
    40. Marcelo Brutti Righi, 2018. "A theory for combinations of risk measures," Papers 1807.01977, arXiv.org, revised May 2023.
    41. Cathy Yi-Hsuan Chen & Thomas C. Chiang & Wolfgang Karl Härdle, 2016. "Downside risk and stock returns: An empirical analysis of the long-run and short-run dynamics from the G-7 Countries," SFB 649 Discussion Papers SFB649DP2016-001, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    42. Yu Feng, 2019. "Non-Parametric Robust Model Risk Measurement with Path-Dependent Loss Functions," Papers 1903.00590, arXiv.org.
    43. Shuzhen Yang, 2021. "Compensatory model for quantile estimation and application to VaR," Papers 2112.07278, arXiv.org.
    44. Coqueret, Guillaume & Tavin, Bertrand, 2016. "An investigation of model risk in a market with jumps and stochastic volatility," European Journal of Operational Research, Elsevier, vol. 253(3), pages 648-658.
    45. Cathy Yi†Hsuan Chen & Thomas C. Chiang, 2016. "Empirical Analysis of the Intertemporal Relationship between Downside Risk and Expected Returns: Evidence from Time†varying Transition Probability Models," European Financial Management, European Financial Management Association, vol. 22(5), pages 749-796, November.
    46. Alejandro Ferrer Pérez & José Casals Carro & Sonia Sotoca López, 2014. "A new approach to the unconditional measurement of default risk," Documentos de Trabajo del ICAE 2014-11, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    47. Roberto Baviera & Giulia Bianchi, 2019. "Model risk in mean-variance portfolio selection: an analytic solution to the worst-case approach," Papers 1902.06623, arXiv.org, revised Dec 2019.
    48. Jon Danielsson & Lerby Ergun & Casper G. de Vries, 2018. "Challenges in Implementing Worst-Case Analysis," Staff Working Papers 18-47, Bank of Canada.
    49. Claußen, Arndt & Rösch, Daniel & Schmelzle, Martin, 2019. "Hedging parameter risk," Journal of Banking & Finance, Elsevier, vol. 100(C), pages 111-121.
    50. Christophe Boucher & Benjamin Hamidi & Patrick Kouontchou & Bertrand Maillet, 2012. "Une évaluation économique du risque de modèle pour les investisseurs de long-terme," Working Papers halshs-00825337, HAL.
    51. Thomas Breuer & Martin Summer, 2013. "Stress Test Robustness: Recent Advances and Open Problems," Financial Stability Report, Oesterreichische Nationalbank (Austrian Central Bank), issue 25, pages 74-86.
    52. Cullen F. Goenner, 2024. "Robust lessons learned from bank failures during the Great Financial Crisis," Review of Quantitative Finance and Accounting, Springer, vol. 62(2), pages 449-498, February.
    53. Tunaru, Radu & Zheng, Teng, 2017. "Parameter estimation risk in asset pricing and risk management: A Bayesian approach," International Review of Financial Analysis, Elsevier, vol. 53(C), pages 80-93.
    54. Christophe Boucher & Bertrand Maillet, 2011. "The Riskiness of Risk Models," Post-Print halshs-00587779, HAL.
    55. Andrés Alonso Robisco & José Manuel Carbó Martínez, 2022. "Measuring the model risk-adjusted performance of machine learning algorithms in credit default prediction," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 8(1), pages 1-35, December.
    56. Weidong Tian & Junya Jiang & Weidong Tian, 2017. "Model Uncertainty Effect on Asset Prices," International Review of Finance, International Review of Finance Ltd., vol. 17(2), pages 205-233, June.

  11. Dai, Renxiang & Schumacher, J.M., 2009. "Welfare analysis of conditional indexation schemes from a two-reference-point perspective," Journal of Pension Economics and Finance, Cambridge University Press, vol. 8(3), pages 321-350, July.

    Cited by:

    1. Kleinow, Torsten & Schumacher, Hans, 2016. "Financial fairness and conditional indexation," Other publications TiSEM 8beebbc8-47f4-4063-a099-e, Tilburg University, School of Economics and Management.

  12. Roorda, Berend & Schumacher, J.M., 2007. "Time consistency conditions for acceptability measures, with an application to Tail Value at Risk," Insurance: Mathematics and Economics, Elsevier, vol. 40(2), pages 209-230, March.

    Cited by:

    1. Beatrice Acciaio & Irina Penner, 2010. "Dynamic risk measures," Papers 1002.3794, arXiv.org.
    2. Beatrice Acciaio & Hans Föllmer & Irina Penner, 2012. "Risk assessment for uncertain cash flows: model ambiguity, discounting ambiguity, and the role of bubbles," Finance and Stochastics, Springer, vol. 16(4), pages 669-709, October.
    3. Bion-Nadal, Jocelyne, 2009. "Time consistent dynamic risk processes," Stochastic Processes and their Applications, Elsevier, vol. 119(2), pages 633-654, February.
    4. Roorda Berend & Schumacher Hans, 2013. "Membership conditions for consistent families of monetary valuations," Statistics & Risk Modeling, De Gruyter, vol. 30(3), pages 255-280, August.
    5. Fasen Vicky & Svejda Adela, 2012. "Time consistency of multi-period distortion measures," Statistics & Risk Modeling, De Gruyter, vol. 29(2), pages 133-153, June.
    6. Beatrice Acciaio & Hans Foellmer & Irina Penner, 2010. "Risk assessment for uncertain cash flows: Model ambiguity, discounting ambiguity, and the role of bubbles," Papers 1002.3627, arXiv.org.
    7. Chen, Zhiping & Li, Gang & Zhao, Yonggan, 2014. "Time-consistent investment policies in Markovian markets: A case of mean–variance analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 40(C), pages 293-316.
    8. Kovacevic Raimund M., 2012. "Conditional risk and acceptability mappings as Banach-lattice valued mappings," Statistics & Risk Modeling, De Gruyter, vol. 29(1), pages 1-18, March.
    9. Acciaio, Beatrice & Föllmer, Hans & Penner, Irina, 2012. "Risk assessment for uncertain cash flows: model ambiguity, discounting ambiguity, and the role of bubbles," LSE Research Online Documents on Economics 50118, London School of Economics and Political Science, LSE Library.
    10. Chen, Zhi-ping & Li, Gang & Guo, Ju-e, 2013. "Optimal investment policy in the time consistent mean–variance formulation," Insurance: Mathematics and Economics, Elsevier, vol. 52(2), pages 145-156.
    11. Berend Roorda & Johannes Schumacher, 2016. "Weakly time consistent concave valuations and their dual representations," Finance and Stochastics, Springer, vol. 20(1), pages 123-151, January.
    12. Jocelyne Bion-Nadal & Magali Kervarec, 2010. "Risk measuring under model uncertainty," Papers 1004.5524, arXiv.org, revised Dec 2010.
    13. Davi Michel Valladão & Álvaro Veiga & Alexandre Street, 2018. "A Linear Stochastic Programming Model for Optimal Leveraged Portfolio Selection," Computational Economics, Springer;Society for Computational Economics, vol. 51(4), pages 1021-1032, April.
    14. Qinyu Wu & Fan Yang & Ping Zhang, 2023. "Conditional generalized quantiles based on expected utility model and equivalent characterization of properties," Papers 2301.12420, arXiv.org.
    15. Xin, Linwei & Goldberg, David A., 2021. "Time (in)consistency of multistage distributionally robust inventory models with moment constraints," European Journal of Operational Research, Elsevier, vol. 289(3), pages 1127-1141.
    16. Berend Roorda, 2010. "An algorithm for sequential tail value at risk for path-independent payoffs in a binomial tree," Annals of Operations Research, Springer, vol. 181(1), pages 463-483, December.
    17. Rudloff, Birgit & Street, Alexandre & Valladão, Davi M., 2014. "Time consistency and risk averse dynamic decision models: Definition, interpretation and practical consequences," European Journal of Operational Research, Elsevier, vol. 234(3), pages 743-750.
    18. Daniel Lacker, 2015. "Law invariant risk measures and information divergences," Papers 1510.07030, arXiv.org, revised Jun 2016.
    19. D. Madan & M. Pistorius & M. Stadje, 2017. "On dynamic spectral risk measures, a limit theorem and optimal portfolio allocation," Finance and Stochastics, Springer, vol. 21(4), pages 1073-1102, October.
    20. Sina Tutsch, 2008. "Update rules for convex risk measures," Quantitative Finance, Taylor & Francis Journals, vol. 8(8), pages 833-843.
    21. Bellini, Fabio & Bignozzi, Valeria & Puccetti, Giovanni, 2018. "Conditional expectiles, time consistency and mixture convexity properties," Insurance: Mathematics and Economics, Elsevier, vol. 82(C), pages 117-123.
    22. Jocelyne Bion-Nadal, 2006. "Time Consistent Dynamic Risk Processes, Cadlag Modification," Papers math/0607212, arXiv.org.
    23. Föllmer Hans, 2014. "Spatial risk measures and their local specification: The locally law-invariant case," Statistics & Risk Modeling, De Gruyter, vol. 31(1), pages 1-23, March.
    24. Bäuerle Nicole & Mundt André, 2009. "A Bayesian approach to incorporate model ambiguity in a dynamic risk measure," Statistics & Risk Modeling, De Gruyter, vol. 26(3), pages 219-242, April.
    25. Stadje, Mitja, 2010. "Extending dynamic convex risk measures from discrete time to continuous time: A convergence approach," Insurance: Mathematics and Economics, Elsevier, vol. 47(3), pages 391-404, December.

  13. Berend Roorda & J. M. Schumacher & Jacob Engwerda, 2005. "Coherent Acceptability Measures In Multiperiod Models," Mathematical Finance, Wiley Blackwell, vol. 15(4), pages 589-612, October.

    Cited by:

    1. Saul Jacka & Seb Armstrong & Abdelkarem Berkaoui, 2017. "On representing and hedging claims for coherent risk measures," Papers 1703.03638, arXiv.org, revised Feb 2018.
    2. Roorda, Berend & Schumacher, J.M., 2011. "The strictest common relaxation of a family of risk measures," Insurance: Mathematics and Economics, Elsevier, vol. 48(1), pages 29-34, January.
    3. Antoon Pelsser, 2011. "Time-Consistent Actuarial Valuations," Papers 1109.1751, arXiv.org.
    4. Beatrice Acciaio & Irina Penner, 2010. "Dynamic risk measures," Papers 1002.3794, arXiv.org.
    5. Beatrice Acciaio & Hans Föllmer & Irina Penner, 2012. "Risk assessment for uncertain cash flows: model ambiguity, discounting ambiguity, and the role of bubbles," Finance and Stochastics, Springer, vol. 16(4), pages 669-709, October.
    6. Riedel, Frank, 2004. "Dynamic coherent risk measures," Stochastic Processes and their Applications, Elsevier, vol. 112(2), pages 185-200, August.
    7. Roorda Berend & Schumacher Hans, 2013. "Membership conditions for consistent families of monetary valuations," Statistics & Risk Modeling, De Gruyter, vol. 30(3), pages 255-280, August.
    8. Mitja Stadje & Antoon Pelsser, 2011. "Time-Consistent and Market-Consistent Evaluations," Papers 1109.1749, arXiv.org, revised Dec 2013.
    9. Andreas H Hamel, 2018. "Monetary Measures of Risk," Papers 1812.04354, arXiv.org.
    10. Tomasz R. Bielecki & Igor Cialenco & Zhao Zhang, 2010. "Dynamic Coherent Acceptability Indices and their Applications to Finance," Papers 1010.4339, arXiv.org, revised May 2011.
    11. Beatrice Acciaio & Hans Foellmer & Irina Penner, 2010. "Risk assessment for uncertain cash flows: Model ambiguity, discounting ambiguity, and the role of bubbles," Papers 1002.3627, arXiv.org.
    12. Tomasz R. Bielecki & Igor Cialenco & Marcin Pitera, 2014. "A unified approach to time consistency of dynamic risk measures and dynamic performance measures in discrete time," Papers 1409.7028, arXiv.org, revised Sep 2017.
    13. Chen, Zhiping & Li, Gang & Zhao, Yonggan, 2014. "Time-consistent investment policies in Markovian markets: A case of mean–variance analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 40(C), pages 293-316.
    14. Traian A. Pirvu & Gordan Žitković, 2009. "Maximizing The Growth Rate Under Risk Constraints," Mathematical Finance, Wiley Blackwell, vol. 19(3), pages 423-455, July.
    15. Marlon Moresco & M'elina Mailhot & Silvana M. Pesenti, 2023. "Uncertainty Propagation and Dynamic Robust Risk Measures," Papers 2308.12856, arXiv.org, revised Feb 2024.
    16. Dimitrios Konstantinides & Christos Kountzakis, 2014. "The restricted convex risk measures in actuarial solvency," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 37(2), pages 287-318, October.
    17. Acciaio, Beatrice & Föllmer, Hans & Penner, Irina, 2012. "Risk assessment for uncertain cash flows: model ambiguity, discounting ambiguity, and the role of bubbles," LSE Research Online Documents on Economics 50118, London School of Economics and Political Science, LSE Library.
    18. Chen, Zhi-ping & Li, Gang & Guo, Ju-e, 2013. "Optimal investment policy in the time consistent mean–variance formulation," Insurance: Mathematics and Economics, Elsevier, vol. 52(2), pages 145-156.
    19. Barigou, Karim & Chen, Ze & Dhaene, Jan, 2019. "Fair dynamic valuation of insurance liabilities: Merging actuarial judgement with market- and time-consistency," Insurance: Mathematics and Economics, Elsevier, vol. 88(C), pages 19-29.
    20. Tomasz R. Bielecki & Igor Cialenco & Ismail Iyigunler & Rodrigo Rodriguez, 2012. "Dynamic Conic Finance: Pricing and Hedging in Market Models with Transaction Costs via Dynamic Coherent Acceptability Indices," Papers 1205.4790, arXiv.org, revised Jun 2013.
    21. Hellmann, Tobias & Riedel, Frank, 2015. "A dynamic extension of the Foster–Hart measure of riskiness," Journal of Mathematical Economics, Elsevier, vol. 59(C), pages 66-70.
    22. Kai Detlefsen & Giacomo Scandolo, 2005. "Conditional and Dynamic Convex Risk Measures," SFB 649 Discussion Papers SFB649DP2005-006, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    23. Patrick Cheridito & Freddy Delbaen & Michael Kupper, 2004. "Dynamic monetary risk measures for bounded discrete-time processes," Papers math/0410453, arXiv.org.
    24. Qinyu Wu & Fan Yang & Ping Zhang, 2023. "Conditional generalized quantiles based on expected utility model and equivalent characterization of properties," Papers 2301.12420, arXiv.org.
    25. Chen, Ze & Chen, Bingzheng & Dhaene, Jan & Yang, Tianyu, 2021. "Fair dynamic valuation of insurance liabilities via convex hedging," Insurance: Mathematics and Economics, Elsevier, vol. 98(C), pages 1-13.
    26. Jingnan Fan & Andrzej Ruszczynski, 2014. "Process-Based Risk Measures and Risk-Averse Control of Discrete-Time Systems," Papers 1411.2675, arXiv.org, revised Nov 2016.
    27. Zhiping Chen & Jia Liu & Gang Li & Zhe Yan, 2016. "Composite time-consistent multi-period risk measure and its application in optimal portfolio selection," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 24(3), pages 515-540, October.
    28. Engsner Hampus & Lindskog Filip, 2020. "Continuous-time limits of multi-period cost-of-capital margins," Statistics & Risk Modeling, De Gruyter, vol. 37(3-4), pages 79-106, July.
    29. Roorda, Berend & Schumacher, J.M., 2007. "Time consistency conditions for acceptability measures, with an application to Tail Value at Risk," Insurance: Mathematics and Economics, Elsevier, vol. 40(2), pages 209-230, March.
    30. Dilip Madan & Martijn Pistorius & Mitja Stadje, 2013. "On dynamic spectral risk measures, a limit theorem and optimal portfolio allocation," Papers 1301.3531, arXiv.org, revised Apr 2017.
    31. Mustafa Pınar, 2011. "Gain–loss based convex risk limits in discrete-time trading," Computational Management Science, Springer, vol. 8(3), pages 299-321, August.
    32. Jingnan Fan & Andrzej Ruszczyński, 2018. "Risk measurement and risk-averse control of partially observable discrete-time Markov systems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 88(2), pages 161-184, October.
    33. Babacar Seck & Robert J. Elliott & Jean-Pierre Gueyie, 2013. "Computational Dynamic Market Risk Measures in Discrete Time Setting," Papers 1306.5705, arXiv.org.
    34. Stadje, Mitja, 2010. "Extending dynamic convex risk measures from discrete time to continuous time: A convergence approach," Insurance: Mathematics and Economics, Elsevier, vol. 47(3), pages 391-404, December.
    35. PInar, Mustafa Ç. & Salih, AslIhan & CamcI, Ahmet, 2010. "Expected gain-loss pricing and hedging of contingent claims in incomplete markets by linear programming," European Journal of Operational Research, Elsevier, vol. 201(3), pages 770-785, March.
    36. Thuener Silva & Davi Valladão & Tito Homem-de-Mello, 2021. "A data-driven approach for a class of stochastic dynamic optimization problems," Computational Optimization and Applications, Springer, vol. 80(3), pages 687-729, December.
    37. Alexander S. Cherny, 2009. "Capital Allocation And Risk Contribution With Discrete‐Time Coherent Risk," Mathematical Finance, Wiley Blackwell, vol. 19(1), pages 13-40, January.

  14. W. A. van den Broek & J. C. Engwerda & J. M. Schumacher, 2003. "Robust Equilibria in Indefinite Linear-Quadratic Differential Games," Journal of Optimization Theory and Applications, Springer, vol. 119(3), pages 565-595, December.
    See citations under working paper version above.
  15. A. J. T. M. Weeren & J. M. Schumacher & J. C. Engwerda, 1999. "Asymptotic Analysis of Linear Feedback Nash Equilibria in Nonzero-Sum Linear-Quadratic Differential Games," Journal of Optimization Theory and Applications, Springer, vol. 101(3), pages 693-722, June.

    Cited by:

    1. Engwerda, J.C., 2000. "The solution set of the N-player scalar feedback Nash algebraic Riccati equations," Other publications TiSEM 08cf862d-500f-44fd-983a-0, Tilburg University, School of Economics and Management.
    2. Engwerda, J.C., 1998. "On the Scalar Feedback Nash Equilibria in the Infinite Horizon LQ-Game," Other publications TiSEM 3142d140-f18c-4699-be28-9, Tilburg University, School of Economics and Management.
    3. Engwerda, J.C., 2013. "A Numerical Algorithm to find All Scalar Feedback Nash Equilibria," Other publications TiSEM aa391d31-11df-4693-9583-1, Tilburg University, School of Economics and Management.
    4. Engwerda, J.C. & van Aarle, B. & Plasmans, J.E.J. & Weeren, A.J.T.M., 2012. "Debt Stabilization Games in the Presence of Risk Premia," Discussion Paper 2012-056, Tilburg University, Center for Economic Research.
    5. Bas Van Aarle & Jacob Engwerda & Joseph Plasmans & Arie Weeren, 2001. "Macroeconomic Policy Interaction under EMU: A Dynamic Game Approach," Open Economies Review, Springer, vol. 12(1), pages 29-60, January.
    6. Engwerda, J.C. & Salmah, Y., 2010. "Necessary and Sufficient Conditions for Feedback Nash Equilibria for the Affine Quadratic Differential," Discussion Paper 2010-78, Tilburg University, Center for Economic Research.
    7. van den Broek, W.A. & Engwerda, J.C. & Schumacher, J.M., 2003. "An equivalence result in linear-quadratic theory," Other publications TiSEM d65171ce-101d-4204-a1ec-f, Tilburg University, School of Economics and Management.
    8. J. C. Engwerda & Salmah, 2013. "Necessary and Sufficient Conditions for Feedback Nash Equilibria for the Affine-Quadratic Differential Game," Journal of Optimization Theory and Applications, Springer, vol. 157(2), pages 552-563, May.
    9. Engwerda, J.C., 2000. "Feedback Nash equilibria in the scalar infinite horizon LQ-Game," Other publications TiSEM 58ccf964-4ca1-4d67-9a68-a, Tilburg University, School of Economics and Management.
    10. Alberto Bressan & Khai T. Nguyen, 2018. "Stability of Feedback Solutions for Infinite Horizon Noncooperative Differential Games," Dynamic Games and Applications, Springer, vol. 8(1), pages 42-78, March.
    11. CARTIGNY, Pierre & MICHEL, Philippe, 2002. "On the selection of one feedback Nash equilibrium in discounted linear-quadratic games," LIDAM Discussion Papers CORE 2002034, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

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