Robust optimal risk sharing and risk premia in expanding pools
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DOI: 10.1016/j.insmatheco.2016.05.012
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- Thomas Knispel & Roger J. A. Laeven & Gregor Svindland, 2016. "Robust Optimal Risk Sharing and Risk Premia in Expanding Pools," Papers 1601.06979, arXiv.org.
References listed on IDEAS
- Frittelli, Marco & Rosazza Gianin, Emanuela, 2002. "Putting order in risk measures," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1473-1486, July.
- Tomasz Strzalecki, 2011.
"Axiomatic Foundations of Multiplier Preferences,"
Econometrica, Econometric Society, vol. 79(1), pages 47-73, January.
- Tomasz Strzalecki, "undated". "Axiomatic Foundations of Multiplier Preferences," Working Paper 8239, Harvard University OpenScholar.
- Tomasz Strzalecki, 2011. "Axiomatic Foundations of Multiplier Preferences," Levine's Working Paper Archive 786969000000000126, David K. Levine.
- Strzalecki, Tomasz, 2011. "Axiomatic Foundations of Multiplier Preferences," Scholarly Articles 14397610, Harvard University Department of Economics.
- Claudia Ravanelli & Gregor Svindland, 2014. "Comonotone Pareto optimal allocations for law invariant robust utilities on L 1," Finance and Stochastics, Springer, vol. 18(1), pages 249-269, January.
- Ross, Stephen A., 1999. "Adding Risks: Samuelson's Fallacy of Large Numbers Revisited," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 34(3), pages 323-339, September.
- Fabio Maccheroni & Massimo Marinacci & Aldo Rustichini, 2006.
"Ambiguity Aversion, Robustness, and the Variational Representation of Preferences,"
Econometrica, Econometric Society, vol. 74(6), pages 1447-1498, November.
- Fabio Maccheroni & Massimo Marinacci & Aldo Rustichini, 2004. "Ambiguity Aversion, Robustness, and the Variational Representation of Preferences," Carlo Alberto Notebooks 12, Collegio Carlo Alberto, revised 2006.
- Lars Peter Hansen & Thomas J Sargent, 2014.
"Robust Control and Model Uncertainty,"
World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 5, pages 145-154,
World Scientific Publishing Co. Pte. Ltd..
- Thomas J. Sargent & LarsPeter Hansen, 2001. "Robust Control and Model Uncertainty," American Economic Review, American Economic Association, vol. 91(2), pages 60-66, May.
- Rose-Anne Dana, 2011. "Comonotonicity, Efficient Risk-sharing and Equilibria in markets with short-selling for concave law-invariant utilities," Post-Print hal-00655172, HAL.
- Chateauneuf, Alain & Faro, José Heleno, 2009.
"Ambiguity through confidence functions,"
Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 535-558, September.
- Alain Chateauneuf & José Heleno Faro, 2009. "Ambiguity through confidence functions," PSE-Ecole d'économie de Paris (Postprint) hal-00634651, HAL.
- Alain Chateauneuf & José Heleno Faro, 2009. "Ambiguity through confidence functions," Post-Print hal-00634651, HAL.
- Alain Chateauneuf & José Heleno Faro, 2009. "Ambiguity through confidence functions," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00634651, HAL.
- Tomasz, Strzalecki, 2011.
"Probabilistic sophistication and variational preferences,"
Journal of Economic Theory, Elsevier, vol. 146(5), pages 2117-2125, September.
- Tomasz Strzalecki, "undated". "Probabilistic Sophistication and Variational Preferences," Working Paper 8337, Harvard University OpenScholar.
- Strzalecki, Tomasz, 2011. "Probabilistic Sophistication and Variational Preferences," Scholarly Articles 11352635, Harvard University Department of Economics.
- Ghirardato, Paolo & Marinacci, Massimo, 2002. "Ambiguity Made Precise: A Comparative Foundation," Journal of Economic Theory, Elsevier, vol. 102(2), pages 251-289, February.
- Deprez, Olivier & Gerber, Hans U., 1985. "On convex principles of premium calculation," Insurance: Mathematics and Economics, Elsevier, vol. 4(3), pages 179-189, July.
- ,, 2016.
"Objective rationality and uncertainty averse preferences,"
Theoretical Economics, Econometric Society, vol. 11(2), May.
- Simone Cerreia-Vioglio, 2011. "Objective Rationality and Uncertainty Averse Preferences," Working Papers 413, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
- repec:dau:papers:123456789/5532 is not listed on IDEAS
- Larry G. Epstein & Martin Schneider, 2007.
"Learning Under Ambiguity,"
The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(4), pages 1275-1303.
- Larry Epstein & Martin Schneider, 2002. "Learning Under Ambiguity," RCER Working Papers 497, University of Rochester - Center for Economic Research (RCER), revised Mar 2005.
- Larry Epstein & Martin Schneider, 2006. "Learning Under Ambiguity," RCER Working Papers 527, University of Rochester - Center for Economic Research (RCER).
- Cerreia-Vioglio, S. & Maccheroni, F. & Marinacci, M. & Montrucchio, L., 2011.
"Uncertainty averse preferences,"
Journal of Economic Theory, Elsevier, vol. 146(4), pages 1275-1330, July.
- Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci & Luigi Montrucchio, 2008. "Uncertainty Averse Preferences," Carlo Alberto Notebooks 77, Collegio Carlo Alberto.
- repec:hal:journl:hal-00538974 is not listed on IDEAS
- Aharon Ben-Tal & Marc Teboulle, 1986. "Expected Utility, Penalty Functions, and Duality in Stochastic Nonlinear Programming," Management Science, INFORMS, vol. 32(11), pages 1445-1466, November.
- Gerber, Hans U., 1978. "Pareto-Optimal Risk Exchanges and Related Decision Problems," ASTIN Bulletin, Cambridge University Press, vol. 10(1), pages 25-33, May.
- Schmeidler, David, 1989.
"Subjective Probability and Expected Utility without Additivity,"
Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
- David Schmeidler, 1989. "Subjective Probability and Expected Utility without Additivity," Levine's Working Paper Archive 7662, David K. Levine.
- 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.
- Laeven, R.J.A. & Stadje, M.A., 2011. "Entropy Coherent and Entropy Convex Measures of Risk," Discussion Paper 2011-031, Tilburg University, Center for Economic Research.
- Goovaerts, Marc J. & Kaas, Rob & Laeven, Roger J.A. & Tang, Qihe, 2004.
"A comonotonic image of independence for additive risk measures,"
Insurance: Mathematics and Economics, Elsevier, vol. 35(3), pages 581-594, December.
- Marc J. Goovaerts & Rob Kaas & Roger J.A. Laeven & Qihe Tang, 2004. "A Comonotonic Image of Independence for Additive Risk Measures," Tinbergen Institute Discussion Papers 04-030/4, Tinbergen Institute.
- repec:dau:papers:123456789/361 is not listed on IDEAS
- Roger J. A. Laeven & Mitja Stadje, 2013.
"Entropy Coherent and Entropy Convex Measures of Risk,"
Mathematics of Operations Research, INFORMS, vol. 38(2), pages 265-293, May.
- Laeven, R.J.A. & Stadje, M.A., 2011. "Entropy Coherent and Entropy Convex Measures of Risk," Discussion Paper 2011-031, Tilburg University, Center for Economic Research.
- Laeven, R.J.A. & Stadje, M.A., 2011. "Entropy Coherent and Entropy Convex Measures of Risk," Other publications TiSEM 08f59c7c-7302-47f9-9a9b-b, Tilburg University, School of Economics and Management.
- Barrieu, Pauline & El Karoui, Nicole, 2005. "Inf-convolution of risk measures and optimal risk transfer," LSE Research Online Documents on Economics 2829, London School of Economics and Political Science, LSE Library.
- repec:dau:papers:123456789/5446 is not listed on IDEAS
- Damir Filipović & Gregor Svindland, 2008. "Optimal capital and risk allocations for law- and cash-invariant convex functions," Finance and Stochastics, Springer, vol. 12(3), pages 423-439, July.
- Dana, Rose-Anne & Scarsini, Marco, 2007. "Optimal risk sharing with background risk," Journal of Economic Theory, Elsevier, vol. 133(1), pages 152-176, March.
- E. Jouini & W. Schachermayer & N. Touzi, 2008.
"Optimal Risk Sharing For Law Invariant Monetary Utility Functions,"
Mathematical Finance, Wiley Blackwell, vol. 18(2), pages 269-292, April.
- Elyès Jouini & Walter Schachermayer & Nizar Touzi, 2007. "Optimal Risk Sharing for Law Invariant Monetary Utility Functions," Working Papers halshs-00176606, HAL.
- Dana, R.-A., 2011. "Comonotonicity, efficient risk-sharing and equilibria in markets with short-selling for concave law-invariant utilities," Journal of Mathematical Economics, Elsevier, vol. 47(3), pages 328-335.
- Andrzej Ruszczyński & Alexander Shapiro, 2006.
"Optimization of Convex Risk Functions,"
Mathematics of Operations Research, INFORMS, vol. 31(3), pages 433-452, August.
- Andrzej Ruszczynski & Alexander Shapiro, 2004. "Optimization of Convex Risk Functions," Risk and Insurance 0404001, University Library of Munich, Germany, revised 08 Oct 2005.
- Marco Frittelli, 2000. "The Minimal Entropy Martingale Measure and the Valuation Problem in Incomplete Markets," Mathematical Finance, Wiley Blackwell, vol. 10(1), pages 39-52, January.
- David Heath & Hyejin Ku, 2004. "Pareto Equilibria with coherent measures of risk," Mathematical Finance, Wiley Blackwell, vol. 14(2), pages 163-172, April.
- Gilboa, Itzhak & Schmeidler, David, 1989.
"Maxmin expected utility with non-unique prior,"
Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
- Gilboa, Itzhak & Schmeidler, David, 1986. "Maxmin Expected Utility with a Non-Unique Prior," Foerder Institute for Economic Research Working Papers 275405, Tel-Aviv University > Foerder Institute for Economic Research.
- Itzhak Gilboa & David Schmeidler, 1989. "Maxmin Expected Utility with Non-Unique Prior," Post-Print hal-00753237, HAL.
- Roger J. A. Laeven & Mitja Stadje, 2014. "Robust Portfolio Choice and Indifference Valuation," Mathematics of Operations Research, INFORMS, vol. 39(4), pages 1109-1141, November.
- Massimo Marinacci, 2002. "Learning from ambiguous urns," Statistical Papers, Springer, vol. 43(1), pages 143-151, January.
- Douglas W. Diamond, 1984. "Financial Intermediation and Delegated Monitoring," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(3), pages 393-414.
- anonymous, 2007. "Bank asset growth robust, statistics show," Financial Update, Federal Reserve Bank of Atlanta, vol. 20(2).
- Rose‐Anne Dana, 2005. "A Representation Result For Concave Schur Concave Functions," Mathematical Finance, Wiley Blackwell, vol. 15(4), pages 613-634, October.
- Bühlmann, Hans & Jewell, William S., 1979. "Optimal Risk Exchanges," ASTIN Bulletin, Cambridge University Press, vol. 10(3), pages 243-262, December.
- Hans Follmer & Alexander Schied, 2013. "Probabilistic aspects of finance," Papers 1309.7759, arXiv.org.
- Aharon Ben‐Tal & Marc Teboulle, 2007. "An Old‐New Concept Of Convex Risk Measures: The Optimized Certainty Equivalent," Mathematical Finance, Wiley Blackwell, vol. 17(3), pages 449-476, July.
- Pauline Barrieu & Nicole El Karoui, 2005. "Inf-convolution of risk measures and optimal risk transfer," Finance and Stochastics, Springer, vol. 9(2), pages 269-298, April.
- Lars Peter Hansen & Thomas J. Sargent, 2007. "Introduction to Robustness," Introductory Chapters, in: Robustness, Princeton University Press.
- Michael Mania & Martin Schweizer, 2005. "Dynamic exponential utility indifference valuation," Papers math/0508489, arXiv.org.
- Ludkovski, Michael & Rüschendorf, Ludger, 2008. "On comonotonicity of Pareto optimal risk sharing," Statistics & Probability Letters, Elsevier, vol. 78(10), pages 1181-1188, August.
- Carlier, G. & Dana, R. A., 2003. "Core of convex distortions of a probability," Journal of Economic Theory, Elsevier, vol. 113(2), pages 199-222, December.
- Richard Rouge & Nicole El Karoui, 2000. "Pricing Via Utility Maximization and Entropy," Mathematical Finance, Wiley Blackwell, vol. 10(2), pages 259-276, April.
- Goovaerts, Marc J. & Kaas, Rob & Laeven, Roger J.A., 2011. "Worst case risk measurement: Back to the future?," Insurance: Mathematics and Economics, Elsevier, vol. 49(3), pages 380-392.
- Hans Föllmer & Alexander Schied, 2002. "Convex measures of risk and trading constraints," Finance and Stochastics, Springer, vol. 6(4), pages 429-447.
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Cited by:
- Mao, Tiantian & Hu, Jiuyun & Liu, Haiyan, 2018. "The average risk sharing problem under risk measure and expected utility theory," Insurance: Mathematics and Economics, Elsevier, vol. 83(C), pages 170-179.
- Albrecht, Peter & Huggenberger, Markus, 2017. "The fundamental theorem of mutual insurance," Insurance: Mathematics and Economics, Elsevier, vol. 75(C), pages 180-188.
- Thomas Knispel & Roger J. A. Laeven & Gregor Svindland, 2021. "Asymptotic Analysis of Risk Premia Induced by Law-Invariant Risk Measures," Papers 2107.01730, arXiv.org.
- Ghossoub, Mario, 2019. "Budget-constrained optimal insurance without the nonnegativity constraint on indemnities," Insurance: Mathematics and Economics, Elsevier, vol. 84(C), pages 22-39.
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More about this item
Keywords
Risk sharing; Pareto optimality; Large pools; Ambiguity; Robust preferences; Convex risk measures; Risk premia;All these keywords.
JEL classification:
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
- G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
- G20 - Financial Economics - - Financial Institutions and Services - - - General
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