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Potentials in Social Environments

Author

Listed:
  • Demuynck, Thomas
  • Herings, P.J.J.

    (Tilburg University, School of Economics and Management)

  • Seel, Christian

Abstract

We develop and extend notions of potentials for normal-form games (Monderer and Shapley, 1996) to present a unified approach for the general class of social environments. The different potentials and corresponding social environments can be ordered in terms of their permissiveness. We classify different methods to construct potentials and we characterize potentials for specific examples such as matching problems, vote trading, multilateral trade, TU games, and various pillage games.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Demuynck, Thomas & Herings, P.J.J. & Seel, Christian, 2023. "Potentials in Social Environments," Other publications TiSEM b85126ad-f158-41e9-a480-e, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:b85126ad-f158-41e9-a480-e5c3aa9a801c
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    File URL: https://repository.tilburguniversity.edu/bitstreams/f65150c3-795e-4e7f-88c7-a5bdeb1d2e3a/download
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    References listed on IDEAS

    as
    1. Chien, Steve & Sinclair, Alistair, 2011. "Convergence to approximate Nash equilibria in congestion games," Games and Economic Behavior, Elsevier, vol. 71(2), pages 315-327, March.
    2. Dubey, Pradeep & Haimanko, Ori & Zapechelnyuk, Andriy, 2006. "Strategic complements and substitutes, and potential games," Games and Economic Behavior, Elsevier, vol. 54(1), pages 77-94, January.
    3. Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
    4. Martin Jensen, 2010. "Aggregative games and best-reply potentials," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(1), pages 45-66, April.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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