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Prices and Pareto Optima

Author

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  • Flam, Sjur

    (Economics Department, Bergen University)

  • Jourani, A.

    (Institut de Mathématiques de Bourgogne)

Abstract

We provide necessary conditions for Pareto optimum in economies where tastes or technologies may be nonconvex, nonsmooth, and affected by externalities. Firms can pursue own objectives, much like the consumers. Infinite-dimensional commodity spaces are accommodated. Public goods and material balances are accounted for as special instances of linear restrictions.

Suggested Citation

  • Flam, Sjur & Jourani, A., 2006. "Prices and Pareto Optima," Working Papers 2006:6, Lund University, Department of Economics.
    • Handle: RePEc:hhs:lunewp:2006_006
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    References listed on IDEAS

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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. Bonnisseau, Jean-Marc & Cornet, Bernard, 1988. "Valuation equilibrium and pareto optimum in non-convex economies," Journal of Mathematical Economics, Elsevier, vol. 17(2-3), pages 293-308, April.
    3. Flam, S. D. & Jourani, A., 2003. "Strategic behavior and partial cost sharing," Games and Economic Behavior, Elsevier, vol. 43(1), pages 44-56, April.
    4. Foley, Duncan K, 1970. "Lindahl's Solution and the Core of an Economy with Public Goods," Econometrica, Econometric Society, vol. 38(1), pages 66-72, January.
    5. M. Ali Khan & Rajiv Vohra, 1987. "An Extension of the Second Welfare Theorem to Economies with Nonconvexities and Public Goods," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(2), pages 223-241.
    6. CORNET, Bernard, 1988. "Marginal cost pricing and Pareto optimality," LIDAM Discussion Papers CORE 1988037, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. Yun, Kwan Koo, 1995. "The Dubovickii-Miljutin Lemma and characterizations of optimal allocations in non-smooth economies," Journal of Mathematical Economics, Elsevier, vol. 24(5), pages 435-460.
    8. Jonathan M. Borwein & Alejandro Jofré, 1998. "A nonconvex separation property in Banach spaces," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 48(2), pages 169-179, November.
    9. Guesnerie, Roger, 1975. "Pareto Optimality in Non-Convex Economies," Econometrica, Econometric Society, vol. 43(1), pages 1-29, January.
    10. 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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    Cited by:

    1. Ceparano, Maria Carmela & Quartieri, Federico, 2019. "A second welfare theorem in a non-convex economy: The case of antichain-convexity," Journal of Mathematical Economics, Elsevier, vol. 81(C), pages 31-47.

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    More about this item

    Keywords

    first and second welfare theorem; weak and strong Pareto optimum; nonconvex tastes or technologies; public goods; externalities; local separation; subdifferentials; normal cones;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D60 - Microeconomics - - Welfare Economics - - - General

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