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Balancedness of the class of infinite permutation games and related classes of games

Author

Listed:
  • Fragnelli, V.
  • Llorca, N.
  • Tijs, S.H.

    (Tilburg University, School of Economics and Management)

Abstract

Recently it is proved that all infinite assignment games have a non-empty core. Using this fact, and a technique suggested by L. S. Shapley for finite permutation games, we prove similar results for infinite permutation games. Infinite transportation games can be interpreted as a generalization of infinite assignment games. We show that infinite transportation games are balanced via a related assignment game. By using certain core elements of infinite transportation games it can be shown that infinite pooling games have a non-empty core.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Fragnelli, V. & Llorca, N. & Tijs, S.H., 2007. "Balancedness of the class of infinite permutation games and related classes of games," Other publications TiSEM fc323e87-7bcb-415a-8dd3-f, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:fc323e87-7bcb-415a-8dd3-fbd996b6b426
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    File URL: https://pure.uvt.nl/ws/portalfiles/portal/796353/poolongigtr.pdf
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    References listed on IDEAS

    as
    1. Klijn, Flip & Tijs, Stef & Hamers, Herbert, 2000. "Balancedness of permutation games and envy-free allocations in indivisible good economies," Economics Letters, Elsevier, vol. 69(3), pages 323-326, December.
    2. Tijs, S.H. & Parthasarathy, T. & Potters, J.A.M. & Rajendra Prasad, V., 1984. "Permutation games : Another class of totally balanced games," Other publications TiSEM a7edfa18-6224-4be3-b677-5, Tilburg University, School of Economics and Management.
    3. Quint, Thomas, 1996. "On One-Sided versus Two-Sided Matching Games," Games and Economic Behavior, Elsevier, vol. 16(1), pages 124-134, September.
    4. Potters, J.A.M. & Tijs, S.H., 1987. "Pooling : Assignment with property rights," Other publications TiSEM 0a83b344-78e2-47b8-99ad-d, Tilburg University, School of Economics and Management.
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    Cited by:

    1. R. Branzei & E. Gutiérrez & N. Llorca & J. Sánchez-Soriano, 2021. "Does it make sense to analyse a two-sided market as a multi-choice game?," Annals of Operations Research, Springer, vol. 301(1), pages 17-40, June.

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    More about this item

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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