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Pooling, Pricing and Trading of Risks

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  • Sjur Didrik Flåm

Abstract

Exchange of risks is considered here as a transferable-utility cooperative game. When the concerned agents are risk averse, there is a core imputation given by means of shadow prices on state-dependent claims. Like in finance, a risk can hardly be evaluated merely by its inherent statistical properties (in isolation from other risks). Rather, evaluation depends on the pooled risk and the convolution of individual preferences. Explored below are relations to finance with some emphasis on incompleteness. Included is a process of bilateral trade which converges to a price-supported core allocation.

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  • Sjur Didrik Flåm, 2002. "Pooling, Pricing and Trading of Risks," CESifo Working Paper Series 672, CESifo.
  • Handle: RePEc:ces:ceswps:_672
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    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. Einy, Ezra & Moreno, Diego & Shitovitz, Benyamin, 2000. "On the Core of an Economy with Differential Information," Journal of Economic Theory, Elsevier, vol. 94(2), pages 262-270, October.
    3. Flam, S.D. & Sandvik, B., 1999. "Competitive Equilibrium: Walras Meets Darwin," Norway; Department of Economics, University of Bergen 0699, Department of Economics, University of Bergen.
    4. Wooders, Myrna Holtz, 1994. "Equivalence of Games and Markets," Econometrica, Econometric Society, vol. 62(5), pages 1141-1160, September.
    5. Robert Wilson, 2005. "Information, efficiency, and the core of an economy," Studies in Economic Theory, in: Dionysius Glycopantis & Nicholas C. Yannelis (ed.), Differential Information Economies, pages 55-64, Springer.
    6. Milne, Frank, 1980. "Short-Selling, Default Risk and the Existence of Equilibrium in a Securities Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 21(2), pages 255-267, June.
    7. Page, Frank Jr., 1987. "On equilibrium in Hart's securities exchange model," Journal of Economic Theory, Elsevier, vol. 41(2), pages 392-404, April.
    8. Hart, Sergiu, 1974. "Formation of cartels in large markets," Journal of Economic Theory, Elsevier, vol. 7(4), pages 453-466, April.
    9. Einy, Ezra & Moreno, Diego & Shitovitz, Benyamin, 2000. "Rational expectations equilibria and the ex-post core of an economy with asymmetric information," Journal of Mathematical Economics, Elsevier, vol. 34(4), pages 527-535, December.
    10. Shapley, Lloyd S. & Shubik, Martin, 1969. "On market games," Journal of Economic Theory, Elsevier, vol. 1(1), pages 9-25, June.
    11. Kobayashi, Takao, 1980. "Equilibrium Contracts for Syndicates with Differential Information," Econometrica, Econometric Society, vol. 48(7), pages 1635-1665, November.
    12. 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.
    13. 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.
    14. Hart, Oliver D., 1975. "On the optimality of equilibrium when the market structure is incomplete," Journal of Economic Theory, Elsevier, vol. 11(3), pages 418-443, December.
    15. Hart, Oliver D., 1974. "On the existence of equilibrium in a securities model," Journal of Economic Theory, Elsevier, vol. 9(3), pages 293-311, November.
    16. Baton, Bernard & Lemaire, Jean, 1981. "The Core of a Reinsurance Market," ASTIN Bulletin, Cambridge University Press, vol. 12(1), pages 57-71, June.
    17. Hammond, Peter J., 1983. "Overlapping expectations and Hart's conditions for equilibrium in a securities model," Journal of Economic Theory, Elsevier, vol. 31(1), pages 170-175, October.
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    More about this item

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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