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Consistent voting systems with a continuum of voters

In: Strategic Social Choice

Author

Listed:
  • Bezalel Peleg

    (The Hebrew University of Jerusalem)

  • Hans Peters

    (University of Maastricht)

Abstract
In this chapter we extend the model of Chapters 9 and 10 to a classical voting system with still finitely many alternatives (candidates) but with very many voters. Such a system is representative of political elections on the local or national level. As an, in our view, best approximation we model voters as elements of a non-atomic measure space. In particular, this approach allows us to accommodate the fact that in such voting systems single voters have negligible influence on the final outcome, and to avoid potential combinatorial complexities of a model with a large but finite number of voters.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:stcchp:978-3-642-13875-1_11
    DOI: 10.1007/978-3-642-13875-1_11
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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, October.
    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. 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.
    5. Peleg, Bezalel, 1978. "Consistent Voting Systems," Econometrica, Econometric Society, vol. 46(1), pages 153-161, January.
    6. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
    7. repec:dau:papers:123456789/13220 is not listed on IDEAS
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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 & 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.
    3. 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.
    4. 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.
    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.

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    More about this item

    Keywords

    Induction Hypothesis; Vote System; Social Choice Function; Strong Equilibrium; Single Voter;
    All these keywords.

    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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