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Social Choice And Cooperative Game Theory: Voting Games As Social Aggregation Functions

Author

Listed:
  • MATHIEU MARTIN

    (THEMA, University of Cergy-Pontoise, 95000 Cergy-Pontoise, France)

  • MAURICE SALLES

    (CREM (UMR-CNRS 6211) and Institute for SCW, University of Caen, 14032 Caen cedex, France;
    CPNSS, London School of Economics, Houghton Street, London WC2A 2AB, UK;
    Murat Sertel Center for Advanced Economic Studies, Bilgi University, Istanbul, Turkey)

Abstract

We consider voting games as procedures to aggregate individual preferences. We survey positive results on the nonemptiness of the core of voting games and explore other solutions concepts that are basic supersets of the core such as Rubinstein's stability set and two types of uncovered sets. We consider cases where the sets of alternatives are 'ordinary' sets, finite sets and infinite sets with possibly a topological structure.

Suggested Citation

  • Mathieu Martin & Maurice Salles, 2013. "Social Choice And Cooperative Game Theory: Voting Games As Social Aggregation Functions," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(03), pages 1-17.
    • Handle: RePEc:wsi:igtrxx:v:15:y:2013:i:03:n:s0219198913400124
    DOI: 10.1142/S0219198913400124
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    References listed on IDEAS

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    1. Gaertner,Wulf, 2006. "Domain Conditions in Social Choice Theory," Cambridge Books, Cambridge University Press, number 9780521028745.
    2. Saari,Donald G., 2008. "Disposing Dictators, Demystifying Voting Paradoxes," Cambridge Books, Cambridge University Press, number 9780521731607.
    3. Bezalel Peleg & Hans Peters, 2010. "Strategic Social Choice," Studies in Choice and Welfare, Springer, number 978-3-642-13875-1, December.
    4. Saari,Donald G., 2008. "Disposing Dictators, Demystifying Voting Paradoxes," Cambridge Books, Cambridge University Press, number 9780521516051.
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    Citations

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    Cited by:

    1. Samaneh Zahedi & Amir Hedayati Aghmashhadi & Christine Fürst, 2021. "Optimal Politics of Conflict over Physical-Industrial Development Using a Technique of Cooperative Game Theory in Iran," Sustainability, MDPI, vol. 13(22), pages 1-20, November.
    2. Maurice Salles, 2017. "On Quine on Arrow," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(4), pages 877-886, April.

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    More about this item

    Keywords

    Social choice; aggregation functions; voting games; C7; D7;
    All these keywords.

    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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