IDEAS home Printed from https://ideas.repec.org/p/hhs/bergec/2007_009.html
   My bibliography  Save this paper

Risk exchange as a market or production game

Author

Listed:

Abstract

Risk exchange is considered here as a cooperative game with transferable utility. The set-up fits markets for insurance, securities and contingent endowments. When convoluted payoff is concave at the aggregate endowment, there is a price-supported core solution. Under variance aversion the latter mirrors the two-fund separation in allocating to each agent some sure holding plus a fraction of the aggregate.

Suggested Citation

  • Borglin, Anders & Flåm, Sjur Didrik, 2007. "Risk exchange as a market or production game," Working Papers in Economics 09/07, University of Bergen, Department of Economics.
    • Handle: RePEc:hhs:bergec:2007_009
    as

    Download full text from publisher

    File URL: http://ekstern.filer.uib.no/svf/2007/No.%2009-07.pdf
    File Function: Full text
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Evstigneev, I.V. & Flam, S.D., 2000. "Sharing Nonconvex Costs," Norway; Department of Economics, University of Bergen 1300, Department of Economics, University of Bergen.
    2. Lienhard, Markus, 1986. "Calculation of Price Equilibria for Utility Functions of the HARA Class," ASTIN Bulletin, Cambridge University Press, vol. 16(S1), pages 91-97, April.
    3. Lemaire, Jean, 1979. "A Non Symmetrical Value for Games without Transferable Utilities; Application to Reinsurance," ASTIN Bulletin, Cambridge University Press, vol. 10(2), pages 195-214, March.
    4. Edmond Malinvaud, 1974. "The Allocation of Individual Risks in Large Markets," International Economic Association Series, in: Jacques H. Drèze (ed.), Allocation under Uncertainty: Equilibrium and Optimality, chapter 8, pages 110-125, Palgrave Macmillan.
    5. A. Y. Golubin, 2006. "Pareto‐Optimal Insurance Policies in the Models with a Premium Based on the Actuarial Value," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 73(3), pages 469-487, September.
    6. Evstigneev, I.V. & Flam, S.D., 2000. "Stochastic Programming: Non-Anticipativity and Lagrange Multipliers," Norway; Department of Economics, University of Bergen 1100, Department of Economics, University of Bergen.
    7. Cass, David & Chichilnisky, Graciela & Wu, Ho-Mou, 1996. "Individual Risk and Mutual Insurance," Econometrica, Econometric Society, vol. 64(2), pages 333-341, March.
    8. Yannelis, Nicholas C, 1991. "The Core of an Economy with Differential Information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(2), pages 183-197, April.
    9. Magill, Michael & Shafer, Wayne, 1991. "Incomplete markets," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 30, pages 1523-1614, Elsevier.
    10. Baton, Bernard & Lemaire, Jean, 1981. "The Core of a Reinsurance Market," ASTIN Bulletin, Cambridge University Press, vol. 12(1), pages 57-71, June.
    11. Malinvaud, E, 1973. "Markets for an Exchange Economy with Individual Risks," Econometrica, Econometric Society, vol. 41(3), pages 383-410, May.
    12. Duffie, Darrell, 1991. "The theory of value in security markets," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 31, pages 1615-1682, Elsevier.
    13. Bühlmann, Hans, 1984. "The General Economic Premium Principle," ASTIN Bulletin, Cambridge University Press, vol. 14(1), pages 13-21, April.
    14. Borch, Karl, 1960. "Reciprocal Reinsurance Treaties," ASTIN Bulletin, Cambridge University Press, vol. 1(4), pages 170-191, December.
    15. Aase, Knut K., 1993. "Equilibrium in a Reinsurance Syndicate; Existence, Uniqueness and Characterization," ASTIN Bulletin, Cambridge University Press, vol. 23(2), pages 185-211, November.
    16. Flam, Sjur & Owen, Guillermo & Saboya, Martha, 2005. "The not-quite non-atomic game: Non-emptiness of the core in large production games," Mathematical Social Sciences, Elsevier, vol. 50(3), pages 279-297, November.
    17. J. P. Aubin & I. Ekeland, 1976. "Estimates of the Duality Gap in Nonconvex Optimization," Mathematics of Operations Research, INFORMS, vol. 1(3), pages 225-245, August.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. S. Flåm & L. Koutsougeras, 2010. "Private information, transferable utility, and the core," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(3), pages 591-609, March.
    2. Flåm, Sjur Didrik, 2016. "Borch’s theorem, equal margins, and efficient allocation," Insurance: Mathematics and Economics, Elsevier, vol. 70(C), pages 162-168.
    3. Sjur Didrik Flåm, 2002. "Pooling, Pricing and Trading of Risks," CESifo Working Paper Series 672, CESifo.
    4. Paolo Siconolfi & Aldo Rustichini, 2012. "Economies with Observable Types," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 15(1), pages 57-71, January.
    5. Sjur Didrik Flåm & Elmar G. Wolfstetter, 2015. "Liability Insurance and Choice of Cars: A Large Game Approach," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 17(6), pages 943-963, December.
    6. Chateauneuf, Alain & Dana, Rose-Anne & Tallon, Jean-Marc, 2000. "Optimal risk-sharing rules and equilibria with Choquet-expected-utility," Journal of Mathematical Economics, Elsevier, vol. 34(2), pages 191-214, October.
    7. Bisin, Alberto & Gottardi, Piero, 1999. "Competitive Equilibria with Asymmetric Information," Journal of Economic Theory, Elsevier, vol. 87(1), pages 1-48, July.
    8. Bryan Ellickson & José Penalva-Zuasti, 1996. "Intertemporal Insurance," Center for Financial Institutions Working Papers 96-19, Wharton School Center for Financial Institutions, University of Pennsylvania.
    9. Jose S. Penalva Zuasti, 2001. "Insurance with Frequency Trading: A Dynamic Analysis of Efficient Insurance Markets," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(4), pages 790-822, October.
    10. Flåm, S. D. & Ermoliev, Y. M., 2009. "Investment, uncertainty, and production games," Environment and Development Economics, Cambridge University Press, vol. 14(1), pages 51-66, February.
    11. Aldo Rustichini & Paolo Siconolfi, 2008. "General equilibrium in economies with adverse selection," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(1), pages 1-29, October.
    12. Chichilnisky, Graciela, 1998. "The economics of global environmental risk," MPRA Paper 8812, University Library of Munich, Germany.
    13. repec:hal:wpaper:hal-00746245 is not listed on IDEAS
    14. Knut Aase, 2009. "The Nash bargaining solution vs. equilibrium in a reinsurance syndicate," Scandinavian Actuarial Journal, Taylor & Francis Journals, vol. 2009(3), pages 219-238.
    15. Chichilnisky, Graciela & Wu, Ho-Mou, 2006. "General equilibrium with endogenous uncertainty and default," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 499-524, August.
    16. Mordecai Kurz, 1997. "Social States of Belief and the Determinants of the Equity Risk Premium in A Rational Belief Equilibrium," Working Papers 97026, Stanford University, Department of Economics.
    17. José S. Penalva, 2003. "Implications of Dynamic Trading for Insurance Markets," Working Papers 83, Barcelona School of Economics.
    18. José Penalva, 2003. "Implications of dynamic trading for insurance markets," Economics Working Papers 720, Department of Economics and Business, Universitat Pompeu Fabra.
    19. Flam, S.D. & Jourani, A., 2000. "Prices and Pareto Optima," Norway; Department of Economics, University of Bergen 0800, Department of Economics, University of Bergen.
    20. HEIFETZ, Aviad & MINELLI, Enrico & POLEMARCHAKIS, Heracles, 1999. "Arbitrage and equilibrium with exchangeable risks," LIDAM Discussion Papers CORE 1999046, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    21. Alberto Bennardo & Salvatore Piccolo, 2005. "Competitive occupational choices with endogenous health risks," Levine's Working Paper Archive 784828000000000199, David K. Levine.

    More about this item

    Keywords

    securities; mutual insurance; market or production games; transferable utility; extremal convolution; core solutions; variance or risk aversion; two-fund separation; CAPM.;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hhs:bergec:2007_009. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Kjell Erik Lommerud (email available below). General contact details of provider: https://edirc.repec.org/data/iouibno.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.