Properties of risk capital allocation methods: Core Compatibility, Equal Treatment Property and Strong Monotonicity
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- Dóra Balog & Tamás László Bátyi & Péter Csóka & Miklós Pintér, 2014. "Properties of risk capital allocation methods: Core Compatibility, Equal Treatment Property and Strong Monotonicity," CERS-IE WORKING PAPERS 1417, Institute of Economics, Centre for Economic and Regional Studies.
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- Tijs, S.H. & Driessen, T.S.H., 1986. "Game theory and cost allocation problems," Other publications TiSEM 376c24c5-c95d-4d29-96b6-4, Tilburg University, School of Economics and Management.
- Carlo Acerbi & Giacomo Scandolo, 2008. "Liquidity risk theory and coherent measures of risk," Quantitative Finance, Taylor & Francis Journals, vol. 8(7), pages 681-692.
- Michael Kalkbrener, 2005. "An Axiomatic Approach To Capital Allocation," Mathematical Finance, Wiley Blackwell, vol. 15(3), pages 425-437, July.
- Csoka, Peter & Herings, P. Jean-Jacques & Koczy, Laszlo A., 2007.
"Coherent measures of risk from a general equilibrium perspective,"
Journal of Banking & Finance, Elsevier, vol. 31(8), pages 2517-2534, August.
- Péter Csóka & Jean-Jacques Herings & László Kóczy, 2006. "Coherent Measures of Risk from a General Equilibrium Perspective," CERS-IE WORKING PAPERS 0611, Institute of Economics, Centre for Economic and Regional Studies, revised 30 Aug 2006.
- Csóka, P. & Herings, P.J.J. & Kóczy, L.Á., 2006. "Coherent measures of risk from a general equilibrium perspective," Research Memorandum 016, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- S. H. Tijs & T. S. H. Driessen, 1986. "Game Theory and Cost Allocation Problems," Management Science, INFORMS, vol. 32(8), pages 1015-1028, August.
- Boonen, Tim J. & De Waegenaere, Anja & Norde, Henk, 2020.
"A generalization of the Aumann–Shapley value for risk capital allocation problems,"
European Journal of Operational Research, Elsevier, vol. 282(1), pages 277-287.
- Boonen, T.J. & De Waegenaere, A.M.B. & Norde, H.W., 2012. "A Generalization of the Aumann-Shapley Value for Risk Capital Allocation Problems," Discussion Paper 2012-091, Tilburg University, Center for Economic Research.
- Mandelbrot, Benoit B, 1972.
"Correction of an Error in "The Variation of Certain Speculative Prices" (1963),"
The Journal of Business, University of Chicago Press, vol. 45(4), pages 542-543, October.
- Benoit Mandelbrot, 1963. "The Variation of Certain Speculative Prices," The Journal of Business, University of Chicago Press, vol. 36, pages 394-394.
- Acerbi, Carlo & Tasche, Dirk, 2002.
"On the coherence of expected shortfall,"
Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1487-1503, July.
- Carlo Acerbi & Dirk Tasche, 2001. "On the coherence of Expected Shortfall," Papers cond-mat/0104295, arXiv.org, revised May 2002.
- Benoit Mandelbrot, 2015.
"The Variation of Certain Speculative Prices,"
World Scientific Book Chapters, in: Anastasios G Malliaris & William T Ziemba (ed.), THE WORLD SCIENTIFIC HANDBOOK OF FUTURES MARKETS, chapter 3, pages 39-78,
World Scientific Publishing Co. Pte. Ltd..
- Benoit Mandelbrot, 1963. "The Variation of Certain Speculative Prices," The Journal of Business, University of Chicago Press, vol. 36, pages 394-394.
- Csóka, Péter & Herings, P. Jean-Jacques & Kóczy, László Á., 2009.
"Stable allocations of risk,"
Games and Economic Behavior, Elsevier, vol. 67(1), pages 266-276, September.
- Csóka, P. & Herings, P.J.J. & Kóczy, L.Á., 2007. "Stable allocations of risk," Research Memorandum 041, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Péter Csóka & P. Jean-Jacques Herings & László Á. Kóczy, 2007. "Stable Allocations of Risk," Working Paper Series 0802, Óbuda University, Keleti Faculty of Business and Management, revised Apr 2008.
- Peter Csoka & P. Jean-Jacques Herings, & Laszlo A. Koczy, 2007. "Stable Allocations of Risk," CERS-IE WORKING PAPERS 0704, Institute of Economics, Centre for Economic and Regional Studies.
- SCHMEIDLER, David, 1969. "The nucleolus of a characteristic function game," LIDAM Reprints CORE 44, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Kim, Joseph H.T. & Hardy, Mary R., 2009. "A capital allocation based on a solvency exchange option," Insurance: Mathematics and Economics, Elsevier, vol. 44(3), pages 357-366, June.
- Csóka Péter & Pintér Miklós, 2016.
"On the Impossibility of Fair Risk Allocation,"
The B.E. Journal of Theoretical Economics, De Gruyter, vol. 16(1), pages 143-158, January.
- Csóka, Péter & Pintér, Miklós, 2010. "On the impossibility of fair risk allocation," MPRA Paper 26515, University Library of Munich, Germany.
- Csóka, Péter & Pintér, Miklós, 2014. "On the impossibility of fair risk allocation," Corvinus Economics Working Papers (CEWP) 2014/12, Corvinus University of Budapest.
- Peter Csoka & Miklos Pinter, 2011. "On the Impossibility of Fair Risk Allocation," CERS-IE WORKING PAPERS 1117, Institute of Economics, Centre for Economic and Regional Studies.
- R. Cont, 2001. "Empirical properties of asset returns: stylized facts and statistical issues," Quantitative Finance, Taylor & Francis Journals, vol. 1(2), pages 223-236.
- Valdez, Emiliano A. & Chernih, Andrew, 2003. "Wang's capital allocation formula for elliptically contoured distributions," Insurance: Mathematics and Economics, Elsevier, vol. 33(3), pages 517-532, December.
- Philippe Artzner & Freddy Delbaen & Jean‐Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228, July.
- Boonen, T.J. & De Waegenaere, A.M.B. & Norde, H.W., 2012. "A Generalization of the Aumann-Shapley Value for Risk Capital Allocation Problems," Other publications TiSEM 2c502ef8-76f0-47f5-ab45-1, Tilburg University, School of Economics and Management.
- Buch, A. & Dorfleitner, G., 2008. "Coherent risk measures, coherent capital allocations and the gradient allocation principle," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 235-242, February.
- Homburg, Carsten & Scherpereel, Peter, 2008. "How should the cost of joint risk capital be allocated for performance measurement?," European Journal of Operational Research, Elsevier, vol. 187(1), pages 208-227, May.
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Cited by:
- Csóka Péter & Pintér Miklós, 2016.
"On the Impossibility of Fair Risk Allocation,"
The B.E. Journal of Theoretical Economics, De Gruyter, vol. 16(1), pages 143-158, January.
- Csóka, Péter & Pintér, Miklós, 2010. "On the impossibility of fair risk allocation," MPRA Paper 26515, University Library of Munich, Germany.
- Csóka, Péter & Pintér, Miklós, 2014. "On the impossibility of fair risk allocation," Corvinus Economics Working Papers (CEWP) 2014/12, Corvinus University of Budapest.
- Peter Csoka & Miklos Pinter, 2011. "On the Impossibility of Fair Risk Allocation," CERS-IE WORKING PAPERS 1117, Institute of Economics, Centre for Economic and Regional Studies.
- Csóka, Péter, 2017.
"Fair risk allocation in illiquid markets,"
Finance Research Letters, Elsevier, vol. 21(C), pages 228-234.
- Peter Csoka, 2015. "Fair risk allocation in illiquid markets," CERS-IE WORKING PAPERS 1509, Institute of Economics, Centre for Economic and Regional Studies.
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Keywords
; ; ; ; ;JEL classification:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
- G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
NEP fields
This paper has been announced in the following NEP Reports:- NEP-GTH-2014-08-09 (Game Theory)
- NEP-RMG-2014-08-09 (Risk Management)
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