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Stochastic Dominance, Pareto Optimality, and Equilibrium Asset Pricing

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  • Chongmin Kim

Abstract

This paper introduces the concept of a factor subspace in competitive equilibrium asset pricing. A factor subspace contains the market portfolio and is such that every marketed contingent claim is second-order stochastically dominated by a claim from the factor subspace. Conditions are given for the existence of equilibrium, and it is shown how APT and CAPM can be interpreted in the framework of the paper. If sufficiently many call options on the market portfolio are traded, then the space spanned by these options can be used as the factor subspace.

Suggested Citation

  • Chongmin Kim, 1998. "Stochastic Dominance, Pareto Optimality, and Equilibrium Asset Pricing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(2), pages 341-356.
    • Handle: RePEc:oup:restud:v:65:y:1998:i:2:p:341-356.
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    File URL: http://hdl.handle.net/10.1111/1467-937X.00047
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    Cited by:

    1. Nizar Allouch & Monique Florenzano, 2004. "Edgeworth and Walras equilibria of an arbitrage-free exchange economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(2), pages 353-370, January.
    2. Allouch, Nizar & Van, Cuong Le & Page Jr. Frank H., 2002. "Arbitrage, Equilibrium And Nonsatiation," The Warwick Economics Research Paper Series (TWERPS) 637, University of Warwick, Department of Economics.
    3. Allouch, Nizar & Le Van, Cuong & Page, Frank Jr., 2002. "The geometry of arbitrage and the existence of competitive equilibrium," Journal of Mathematical Economics, Elsevier, vol. 38(4), pages 373-391, December.
    4. Dana, R. A., 2004. "Market behavior when preferences are generated by second-order stochastic dominance," Journal of Mathematical Economics, Elsevier, vol. 40(6), pages 619-639, September.
    5. Rose‐Anne Dana, 2005. "A Representation Result For Concave Schur Concave Functions," Mathematical Finance, Wiley Blackwell, vol. 15(4), pages 613-634, October.
    6. Allouch, Nizar & Le Van, Cuong & Page, Frank H., Jr., 2002. "Arbitrage, Equilibrium, and Nonsatiation," Economic Research Papers 269411, University of Warwick - Department of Economics.
    7. repec:dau:papers:123456789/6105 is not listed on IDEAS
    8. Roponen, Juho & Ríos Insua, David & Salo, Ahti, 2020. "Adversarial risk analysis under partial information," European Journal of Operational Research, Elsevier, vol. 287(1), pages 306-316.
    9. Borglin, Anders & Flåm, Sjur, 2007. "Rationalizing Constrained Contingent Claims," Working Papers 2007:12, Lund University, Department of Economics.
    10. repec:dau:papers:123456789/6697 is not listed on IDEAS

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