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Risk Exchange as a Market or Production Game

Author

Listed:
  • Borglin, Anders

    () (Department of Economics, Lund University)

  • Flåm, Sjur

    () (Economics Department, Bergen University;)

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, 2007. "Risk Exchange as a Market or Production Game," Working Papers 2007:16, Lund University, Department of Economics.
  • Handle: RePEc:hhs:lunewp:2007_016
    as

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    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: The Journal of the International Actuarial Association, 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: The Journal of the International Actuarial Association, Cambridge University Press, vol. 10(02), pages 195-214, March.
    4. Malinvaud, E., 1972. "The allocation of individual risks in large markets," Journal of Economic Theory, Elsevier, vol. 4(2), pages 312-328, April.
    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.
    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: The Journal of the International Actuarial Association, Cambridge University Press, vol. 12(01), 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. Borch, Karl, 1960. "Reciprocal Reinsurance Treaties," ASTIN Bulletin: The Journal of the International Actuarial Association, Cambridge University Press, vol. 1(04), pages 170-191, December.
    13. 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.
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    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;

    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

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