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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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    Cited by:

    1. Peleg, Bezalel & Peters, Hans, 2017. "Choosing k from m: Feasible elimination procedures reconsidered," Games and Economic Behavior, Elsevier, vol. 103(C), pages 254-261.
    2. Bezalel Peleg, 2013. "Consistent Voting Systems Revisited: Computation and Axiomatic Characterization," Discussion Paper Series dp649, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    3. Bezalel Peleg & Hans Peters, 2010. "Consistent voting systems with a continuum of voters," Studies in Choice and Welfare, in: Strategic Social Choice, chapter 0, pages 123-145, Springer.
    4. Agnieszka Rusinowska, 2013. "Bezalel Peleg and Hans Peters: Strategic Social Choice. Stable Representations of Constitutions, Studies in choice and welfare, Springer, 2010, 154 pp," Post-Print hal-00666816, HAL.
    5. 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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