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Consistent voting systems with a continuum of voters

Author

Listed:
  • Bezalel Peleg

    ()

  • Hans Peters

    ()

Abstract

Voting problems with a continuum of voters and finitely many alternatives are considered. The classical Arrow and Gibbard-Satterthwaite theorems are shown to persist in this model, not for single voters but for coalitions of positive size. The emphasis of the study is on strategic considerations, relaxing the nonmanipulability requirement: are there social choice functions such that for every profile of preferences there exists a strong Nash equilibrium resulting in the alternative assigned by the social choice function? Such social choice functions are called exactly and strongly consistent. The study offers an extension of the work of Peleg (1978a) and others. Specifically, a class of anonymous social choice functions with the required property is characterized through blocking coefficients of alternatives, and associated effectivity functions are studied. Finally, representation of effectivity functions by game forms having a strong Nash Equilibrium is studied.

Suggested Citation

  • Bezalel Peleg & Hans Peters, 2002. "Consistent voting systems with a continuum of voters," Discussion Paper Series dp308, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
  • Handle: RePEc:huj:dispap:dp308
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    References listed on IDEAS

    as
    1. Peleg,Bezalel, 2008. "Game Theoretic Analysis of Voting in Committees," Cambridge Books, Cambridge University Press, number 9780521074650.
    2. Hart, Sergiu & Kohlberg, Elon, 1974. "Equally distributed correspondences," Journal of Mathematical Economics, Elsevier, vol. 1(2), pages 167-174, August.
    3. Moulin, H. & Peleg, B., 1982. "Cores of effectivity functions and implementation theory," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 115-145, June.
    4. B Pezaleleleg & Hans Peters, 2006. "Consistent Voting Systems with a Continuum of Voters," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(3), pages 477-492, December.
    5. repec:dau:papers:123456789/13220 is not listed on IDEAS
    6. Peleg, Bezalel, 1978. "Consistent Voting Systems," Econometrica, Econometric Society, vol. 46(1), pages 153-161, January.
    7. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
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    Citations

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    Cited by:

    1. Bezalel Peleg & Hans Peters, 2002. "Consistent voting systems with a continuum of voters," Discussion Paper Series dp308, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    2. Xinyu Li & Ronald Peeters, 2017. "Rivalry information acquisition and disclosure," Journal of Economics & Management Strategy, Wiley Blackwell, pages 610-623.
    3. Sergiu Hart, 2016. "Allocation games with caps: from Captain Lotto to all-pay auctions," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(1), pages 37-61, March.
    4. B Pezaleleleg & Hans Peters, 2006. "Consistent Voting Systems with a Continuum of Voters," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(3), pages 477-492, December.
    5. Hart, Sergiu & Mas-Colell, Andreu, 2015. "Markets, correlation, and regret-matching," Games and Economic Behavior, Elsevier, vol. 93(C), pages 42-58.
    6. Agnieszka Rusinowska, 2013. "Book review on "Bezalel Peleg and Hans Peters: Strategic Social Choice. Stable Representations of Constitutions", Studies in choice and welfare, Springer, 2010, 154 pp," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00666816, HAL.
    7. repec:eee:gamebe:v:103:y:2017:i:c:p:254-261 is not listed on IDEAS
    8. Agnieszka Rusinowska, 2013. "Bezalel Peleg and Hans Peters: Strategic social choice. Stable representations of constitutions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 631-634, February.

    More about this item

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General

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