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The Approximation of Fixed Points of a Continuous Mapping

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  1. Dolf Talman & Zaifu Yang, 2012. "On a Parameterized System of Nonlinear Equations with Economic Applications," Journal of Optimization Theory and Applications, Springer, vol. 154(2), pages 644-671, August.
  2. Talman, A.J.J. & Yamamoto, M., 2001. "Contiuum of Zero Points of a Mapping on a Compact Convex Set," Discussion Paper 2001-56, Tilburg University, Center for Economic Research.
  3. Y. Qiang, 1999. "CGE Modelling and Australian Economics," Economics Discussion / Working Papers 99-04, The University of Western Australia, Department of Economics.
  4. Ruys, P.H.M. & van der Laan, G., 1987. "Computation of an industrial equilibrium," Research Memorandum FEW 257, Tilburg University, School of Economics and Management.
  5. Ulrich K. Müller & Andriy Norets, 2016. "Coverage Inducing Priors in Nonstandard Inference Problems," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 111(515), pages 1233-1241, July.
  6. Gerard van der Laan & Dolf Talman & Zaifu Yang, 2005. "Solving Discrete Zero Point Problems with Vector Labeling," Tinbergen Institute Discussion Papers 05-106/1, Tinbergen Institute.
  7. Aad Ruiter, 2020. "Approximating Walrasian Equilibria," Computational Economics, Springer;Society for Computational Economics, vol. 55(2), pages 577-596, February.
  8. van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2007. "Combinatorial Integer Labeling Thorems on Finite Sets with an Application to Discrete Systems of Nonlinear Equations," Discussion Paper 2007-88, Tilburg University, Center for Economic Research.
  9. Feinstein Zachary & El-Masri Fatena, 2017. "The effects of leverage requirements and fire sales on financial contagion via asset liquidation strategies in financial networks," Statistics & Risk Modeling, De Gruyter, vol. 34(3-4), pages 113-139, September.
  10. Ichiishi, Tatsuro & Idzik, Adam, 1999. "Equitable allocation of divisible goods," Journal of Mathematical Economics, Elsevier, vol. 32(4), pages 389-400, December.
  11. Talman, A.J.J., 1990. "General equilibrium programming," Other publications TiSEM b2dccd7c-f4e9-4e3c-9f67-f, Tilburg University, School of Economics and Management.
  12. Herings, P.J.J. & Talman, A.J.J. & Yang, Z.F., 1999. "Variational Inequality Problems With a Continuum of Solutions : Existence and Computation," Other publications TiSEM 73e2f01b-ad4d-4447-95ba-a, Tilburg University, School of Economics and Management.
  13. Vipin P. Veetil & Richard E. Wagner, 2015. "Treating Macro Theory as Systems Theory: How Might it Matter?," Advances in Austrian Economics, in: New Thinking in Austrian Political Economy, volume 19, pages 119-143, Emerald Group Publishing Limited.
  14. Gordan Žitković, 2012. "An example of a stochastic equilibrium with incomplete markets," Finance and Stochastics, Springer, vol. 16(2), pages 177-206, April.
  15. Wang, Zhi & Slagle, James, 1996. "An object-oriented knowledge-based approach for formulating applied general equilibrium models," Journal of Economic Dynamics and Control, Elsevier, vol. 20(1-3), pages 209-236.
  16. M. Kojima & R. Saigal, 1978. "A Study of PCl Homeomorphisms on Subdivided Polyhedrons," Discussion Papers 327, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  17. van den Elzen, A.H. & van der Laan, G. & Talman, A.J.J., 1985. "Adjustment processes for finding equilibria on the simplotope," Other publications TiSEM 21421db2-1e09-461b-9a16-a, Tilburg University, School of Economics and Management.
  18. Le, Thanh & Le Van, Cuong & Pham, Ngoc-Sang & Sağlam, Çağrı, 2020. "Direct Proofs of the Existence of Equilibrium, the Gale-Nikaido-Debreu Lemma and the Fixed Point Theorems using Sperner’s Lemma," MPRA Paper 110933, University Library of Munich, Germany, revised 28 Oct 2020.
  19. Talman, Dolf & Yang, Zaifu, 2009. "A discrete multivariate mean value theorem with applications," European Journal of Operational Research, Elsevier, vol. 192(2), pages 374-381, January.
  20. Jugal Garg & Ruta Mehta & Vijay V. Vaziranic, 2018. "Substitution with Satiation: A New Class of Utility Functions and a Complementary Pivot Algorithm," Mathematics of Operations Research, INFORMS, vol. 43(3), pages 996-1024, August.
  21. Francesco Felici & Maria Gesualdo, 2014. "ORANI-IT: a computable general equilibrium model of Italy," Working Papers 7, Department of the Treasury, Ministry of the Economy and of Finance.
  22. Jiang, Albert Xin & Leyton-Brown, Kevin & Bhat, Navin A.R., 2011. "Action-Graph Games," Games and Economic Behavior, Elsevier, vol. 71(1), pages 141-173, January.
  23. Claudio Socci & Francesco Felici & Rosita Pretaroli & Francesca Severini & Renato Loiero, 2021. "The Multisector Applied Computable General Equilibrium Model for Italian Economy (MACGEM-IT)," Italian Economic Journal: A Continuation of Rivista Italiana degli Economisti and Giornale degli Economisti, Springer;Società Italiana degli Economisti (Italian Economic Association), vol. 7(1), pages 109-127, March.
  24. Joosten, Reinoud & Talman, Dolf, 1998. "A globally convergent price adjustment process for exchange economies," Journal of Mathematical Economics, Elsevier, vol. 29(1), pages 15-26, January.
  25. Terje Hansen, 1969. "A Fixed Point Algorithm for Approximating the Optimal Solution of a Concave Programming Problem," Cowles Foundation Discussion Papers 277, Cowles Foundation for Research in Economics, Yale University.
  26. van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2004. "Solving discrete zero point problems," Other publications TiSEM 7199ad17-969b-4bd5-b82a-f, Tilburg University, School of Economics and Management.
  27. Dang, Chuangyin & Meng, Xiaoxuan & Talman, Dolf, 2015. "An Interior-Point Path-Following Method for Computing a Perfect Stationary Point of a Polynomial Mapping on a Polytope," Other publications TiSEM 07b7a0e7-f814-4ec2-a3a7-e, Tilburg University, School of Economics and Management.
  28. Michael S. Harr'e & Adam Harris & Scott McCallum, 2019. "Singularities and Catastrophes in Economics: Historical Perspectives and Future Directions," Papers 1907.05582, arXiv.org.
  29. Shikhman, V. & Nesterov, Yu. & Ginsburgh, V., 2018. "Power method tâtonnements for Cobb–Douglas economies," Journal of Mathematical Economics, Elsevier, vol. 75(C), pages 84-92.
  30. Xiaotie Deng & Qi Qi & Amin Saberi & Jie Zhang, 2011. "Discrete Fixed Points: Models, Complexities, and Applications," Mathematics of Operations Research, INFORMS, vol. 36(4), pages 636-652, November.
  31. Uri, Noel D. & Boyd, Roy, 1998. "Aggregate impacts of the proposed reduction in the motor fuels excise tax in the United States1," Energy Economics, Elsevier, vol. 20(3), pages 309-323, June.
  32. G. Laan & A. J. J. Talman & Z. Yang, 2010. "Combinatorial Integer Labeling Theorems on Finite Sets with Applications," Journal of Optimization Theory and Applications, Springer, vol. 144(2), pages 391-407, February.
  33. Wei-Bin Zhang, 2014. "Capital and Knowledge: Integrating Arrow’s Learning-by-Doing, the Walrasian Equilibrium Theory and Neoclassical Growth Theory," South Asian Journal of Macroeconomics and Public Finance, , vol. 3(2), pages 267-293, December.
  34. Etessami, Kousha, 2021. "The complexity of computing a (quasi-)perfect equilibrium for an n-player extensive form game," Games and Economic Behavior, Elsevier, vol. 125(C), pages 107-140.
  35. Talman, A.J.J. & van der Heyden, L., 1981. "Algorithms for the linear complementarity problem which allow an arbitrary starting point," Research Memorandum FEW 99, Tilburg University, School of Economics and Management.
  36. Wei-Bin Zhang, 2014. "Environmental Dynamics in an Integrated Walrasian-General Equilibrium and Neoclassical-Growth Theory," Journal of Economic Development, Chung-Ang Unviersity, Department of Economics, vol. 39(3), pages 51-80, September.
  37. Stefano Lucidi & Mauro Passacantando & Francesco Rinaldi, 2022. "Solving non-monotone equilibrium problems via a DIRECT-type approach," Journal of Global Optimization, Springer, vol. 83(4), pages 699-725, August.
  38. van der Laan, Gerard & Talman, Dolf & Yang, Zaifu, 2011. "Solving discrete systems of nonlinear equations," European Journal of Operational Research, Elsevier, vol. 214(3), pages 493-500, November.
  39. Van Ha, Pham & Kompas, Tom, 2016. "Solving intertemporal CGE models in parallel using a singly bordered block diagonal ordering technique," Economic Modelling, Elsevier, vol. 52(PA), pages 3-12.
  40. Wei-Bin Zhang, 2017. "Discrimination and Inequality in an Integrated Walrasian-General-Equilibrium and Neoclassical-Growth Theory," Asian Journal of Economic Modelling, Asian Economic and Social Society, vol. 5(1), pages 57-76, March.
  41. James Markusen, 2021. "Global Comparative Statics in General Equilibrium: model building from theoretical foundations," Journal of Global Economic Analysis, Center for Global Trade Analysis, Department of Agricultural Economics, Purdue University, vol. 6(2), pages 86-123, December.
  42. Chuangyin Dang & Hans van Maaren, 1998. "A Simplicial Approach to the Determination of an Integer Point of a Simplex," Mathematics of Operations Research, INFORMS, vol. 23(2), pages 403-415, May.
  43. Aliprantis, Charalambos D. & Harris, David & Tourky, Rabee, 2007. "Riesz estimators," Journal of Econometrics, Elsevier, vol. 136(2), pages 431-456, February.
  44. Farhad Hüsseinov & Nobusumi Sagara, 2013. "Existence of efficient envy-free allocations of a heterogeneous divisible commodity with nonadditive utilities," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 923-940, October.
  45. Yang Zhan & Peixuan Li & Chuangyin Dang, 2020. "A differentiable path-following algorithm for computing perfect stationary points," Computational Optimization and Applications, Springer, vol. 76(2), pages 571-588, June.
  46. Yuval Rabani & Leonard J. Schulman, 2016. "The Invisible Hand of Laplace: the Role of Market Structure in Price Convergence and Oscillation," Papers 1602.07628, arXiv.org.
  47. Rossana Patrón, 1997. "Terms of Trade Shocks and Minimum wages for Dual Labour Market: A CGE Analysis," Documentos de Trabajo (working papers) 0397, Department of Economics - dECON.
  48. Alejandro Jofré & R. Terry Rockafellar & Roger J-B. Wets, 2007. "Variational Inequalities and Economic Equilibrium," Mathematics of Operations Research, INFORMS, vol. 32(1), pages 32-50, February.
  49. Dixon, Peter B. & Rimmer, Maureen T., 2016. "Johansen's legacy to CGE modelling: Originator and guiding light for 50 years," Journal of Policy Modeling, Elsevier, vol. 38(3), pages 421-435.
  50. Zachary Feinstein, 2017. "Obligations with Physical Delivery in a Multi-Layered Financial Network," Papers 1702.07936, arXiv.org, revised May 2019.
  51. Noel D. Uri & Roy Boyd, 1997. "The Effects of Reducing the Motor Fuels Excise Tax on Agriculture in the United States," Energy & Environment, , vol. 8(1), pages 45-63, March.
  52. P. Jean-Jacques Herings & Felix Kubler, 2002. "Computing Equilibria in Finance Economies," Mathematics of Operations Research, INFORMS, vol. 27(4), pages 637-646, November.
  53. Doup, T.M. & van der Laan, G. & Talman, A.J.J., 1984. "The (2n+1-2)-ray algorithm : A new simplicial algorithm to compute economic equilibria," Research Memorandum FEW 151, Tilburg University, School of Economics and Management.
  54. Yang Zhan & Chuangyin Dang, 2018. "A smooth path-following algorithm for market equilibrium under a class of piecewise-smooth concave utilities," Computational Optimization and Applications, Springer, vol. 71(2), pages 381-402, November.
  55. Pierre-Yves Letournel & Katheline Schubert & Philippe Trainar, 1992. "L'utilisation des modèles d'équilibre général calculables dans l'évaluation de la politique fiscale," Revue Économique, Programme National Persée, vol. 43(4), pages 709-724.
  56. James R. Markusen, 2021. "Ronald Jones's duality analysis as a foundation for applied general‐equilibrium modeling," International Journal of Economic Theory, The International Society for Economic Theory, vol. 17(1), pages 6-19, March.
  57. P. J. J. Herings & G. A. Koshevoy & A. J. J. Talman & Z. Yang, 2004. "General Existence Theorem of Zero Points," Journal of Optimization Theory and Applications, Springer, vol. 120(2), pages 375-394, February.
  58. Antonio Gómez Gómez-Plana, "undated". "Simulación De Políticas Económicas: Los Modelos De Equilibrio General Aplicado," Working Papers 35-02 Classification-JEL , Instituto de Estudios Fiscales.
  59. Taylor, Lance, 2016. "CGE applications in development economics," Journal of Policy Modeling, Elsevier, vol. 38(3), pages 495-514.
  60. Tim Roughgarden, 2010. "Computing equilibria: a computational complexity perspective," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(1), pages 193-236, January.
  61. Uri, Noel D. & Boyd, Roy, 1997. "An evaluation of the economic effects of higher energy prices in Mexico," Energy Policy, Elsevier, vol. 25(2), pages 205-215, February.
  62. Jiang, Albert Xin & Leyton-Brown, Kevin, 2015. "Polynomial-time computation of exact correlated equilibrium in compact games," Games and Economic Behavior, Elsevier, vol. 91(C), pages 347-359.
  63. Pascal Gauthier & Timothy J. Kehoe & Erwan Quintin, 2022. "Constructing pure-exchange economies with many equilibria," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(2), pages 541-564, April.
  64. Alexandre Gohin & Herve Guyomard & Chantal Le Mouël, 1998. "Agricultural policies analysis : contribution of computable general equilibrium modeling [L'analyse des politiques agricoles : l'apport de l'équilibre général calculable]," Post-Print hal-02837721, HAL.
  65. Herings, P. Jean-Jacques & Peeters, Ronald J. A. P., 2004. "Stationary equilibria in stochastic games: structure, selection, and computation," Journal of Economic Theory, Elsevier, vol. 118(1), pages 32-60, September.
  66. Hofkes, M.W., 1988. "Parametrization of simplicial algorithms with an application to an empirical general equilibrium model," Serie Research Memoranda 0037, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
  67. Wei-Bin Zhang, 2017. "Social Status and Inequality in an Integrated Walrasian-General Equilibrium and Neoclassical-Growth Theory," Journal of Economic Development, Chung-Ang Unviersity, Department of Economics, vol. 42(4), pages 95-118, December.
  68. Cao, Yiyin & Dang, Chuangyin & Xiao, Zhongdong, 2022. "A differentiable path-following method to compute subgame perfect equilibria in stationary strategies in robust stochastic games and its applications," European Journal of Operational Research, Elsevier, vol. 298(3), pages 1032-1050.
  69. Dang, C. & Talman, A.J.J. & Wang, Z., 1994. "A homotopy approach to the computation of economic equilibria on the unit simplex," Other publications TiSEM 2865acdc-60cf-42b9-8720-0, Tilburg University, School of Economics and Management.
  70. C. Dang, 2001. "Computing an Integer Point of a Class of Convex Sets," Journal of Optimization Theory and Applications, Springer, vol. 108(2), pages 333-348, February.
  71. Vittorio Bilò & Ioannis Caragiannis & Michele Flammini & Ayumi Igarashi & Gianpiero Monaco & Dominik Peters & Cosimo Vinci & William Zwicker, 2021. "Almost Envy-Free Allocations with Connected Bundles," Post-Print hal-03834506, HAL.
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  73. Purcell, Tim & Karunaratne, Neil & Tisdell, Clem, 1997. "Macroeconomic Effects of Disease Control in the Thailand Livestock Sector - A CGE Analyis," Animal Health Economics 164581, University of Queensland, School of Economics.
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  85. Bilò, Vittorio & Caragiannis, Ioannis & Flammini, Michele & Igarashi, Ayumi & Monaco, Gianpiero & Peters, Dominik & Vinci, Cosimo & Zwicker, William S., 2022. "Almost envy-free allocations with connected bundles," Games and Economic Behavior, Elsevier, vol. 131(C), pages 197-221.
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  91. van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2007. "A vector labeling method for solving discrete zero point and complementarity problems," Other publications TiSEM 070869d0-4e42-4d34-85f9-b, Tilburg University, School of Economics and Management.
  92. Gordan Zitkovic, 2009. "An example of a stochastic equilibrium with incomplete markets," Papers 0906.0208, arXiv.org, revised Jun 2010.
  93. Wei Ma, 2015. "A Constructive Proof of the Existence of Collateral Equilibrium for a Two-Period Exchange Economy Based on a Smooth Interior-Point Path," Computational Economics, Springer;Society for Computational Economics, vol. 45(1), pages 1-30, January.
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  96. Yiyin Cao & Chuangyin Dang & Yabin Sun, 2022. "Complementarity Enhanced Nash’s Mappings and Differentiable Homotopy Methods to Select Perfect Equilibria," Journal of Optimization Theory and Applications, Springer, vol. 192(2), pages 533-563, February.
  97. Herbert E. Scarf, 1969. "An Example of an Algorithm for Calculating General Equilibrium," Cowles Foundation Discussion Papers 276, Cowles Foundation for Research in Economics, Yale University.
  98. Le, Thanh & Le Van, Cuong & Pham, Ngoc-Sang & Sağlam, Çağrı, 2020. "Sperner Lemma, Fixed Point Theorems, and the Existence of Equilibrium," MPRA Paper 100084, University Library of Munich, Germany.
  99. Rabani, Yuval & Schulman, Leonard J., 2021. "The invisible hand of Laplace: The role of market structure in price convergence and oscillation," Journal of Mathematical Economics, Elsevier, vol. 95(C).
  100. Wei-Bin Zhang, 2014. "A Study of the Role of Government in Income and Wealth Distribution by Integrating the Walrasian General Equilibrium and Neoclassical Growth Theories," Interdisciplinary Description of Complex Systems - scientific journal, Croatian Interdisciplinary Society Provider Homepage: http://indecs.eu, vol. 12(1), pages 28-45.
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