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An 'Average' Lyapunov Convexity Theorem and Some Core Equivalence Results

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Abstract

I prove an "average" version of the Lyapunov convexity theorem and apply it to establish some core equivalence results for an atomless economy.

Suggested Citation

  • Lin Zhou, 1991. "An 'Average' Lyapunov Convexity Theorem and Some Core Equivalence Results," Cowles Foundation Discussion Papers 976, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:976
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    File URL: https://cowles.yale.edu/sites/default/files/files/pub/d09/d0976.pdf
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    References listed on IDEAS

    as
    1. Kannai, Yakar, 1970. "Continuity Properties of the Core of a Market," Econometrica, Econometric Society, vol. 38(6), pages 791-815, November.
    2. Anderson, Robert M, 1978. "An Elementary Core Equivalence Theorem," Econometrica, Econometric Society, vol. 46(6), pages 1483-1487, November.
    3. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    4. Lin Zhou, 1991. "Strictly Fair Allocations in Large Exchange Economies," Cowles Foundation Discussion Papers 972, Cowles Foundation for Research in Economics, Yale University.
    5. M. Ali Khan, 1974. "Some Equivalence Theorems," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(4), pages 549-565.
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    Cited by:

    1. Zhou, Lin, 1992. "Strictly fair allocations in large exchange economies," Journal of Economic Theory, Elsevier, vol. 57(1), pages 158-175.

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    More about this item

    Keywords

    Convex; core; exchange economy;
    All these keywords.

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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