IDEAS home Printed from https://ideas.repec.org/h/spr/stcchp/978-3-642-13875-1_11.html
   My bibliography  Save this book chapter

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
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Hart, Sergiu & Kohlberg, Elon, 1974. "Equally distributed correspondences," Journal of Mathematical Economics, Elsevier, vol. 1(2), pages 167-174, August.
    2. Moulin, H. & Peleg, B., 1982. "Cores of effectivity functions and implementation theory," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 115-145, June.
    3. Peleg,Bezalel, 2008. "Game Theoretic Analysis of Voting in Committees," Cambridge Books, Cambridge University Press, number 9780521074650.
    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. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. Peleg, Bezalel & Peters, Hans, 2017. "Choosing k from m: Feasible elimination procedures reconsidered," Games and Economic Behavior, Elsevier, vol. 103(C), pages 254-261.
    3. 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.
    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Bezalel Peleg & Ron Holzman, 2017. "Representations of Political Power Structures by Strategically Stable Game Forms: A Survey," Games, MDPI, vol. 8(4), pages 1-17, October.
    2. Maskin, Eric & Sjostrom, Tomas, 2002. "Implementation theory," Handbook of Social Choice and Welfare,in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 5, pages 237-288 Elsevier.
    3. Peleg, Bezalel & Peters, Hans, 2017. "Choosing k from m: Feasible elimination procedures reconsidered," Games and Economic Behavior, Elsevier, vol. 103(C), pages 254-261.
    4. Keiding, Hans & Peleg, Bezalel, 2001. "Stable voting procedures for committees in economic environments," Journal of Mathematical Economics, Elsevier, vol. 36(2), pages 117-140, November.
    5. 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.
    6. 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.
    7. Murat R. Sertel & M. Remzi Sanver, 2004. "Strong equilibrium outcomes of voting games ¶are the generalized Condorcet winners," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 22(2), pages 331-347, April.
    8. Roy Gardner, 1980. "The strategic inconsistency of Paretian liberalism," Public Choice, Springer, vol. 35(2), pages 241-252, January.
    9. Hiroki Saitoh, 2022. "Characterization of tie-breaking plurality rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(1), pages 139-173, July.
    10. Otten, Gert-Jan & Borm, Peter & Storcken, Ton & Tijs, Stef, 1997. "Decomposable effectivity functions," Mathematical Social Sciences, Elsevier, vol. 33(3), pages 277-289, June.
    11. Ben McQuillin & Robert Sugden, 2011. "The representation of alienable and inalienable rights: games in transition function form," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(4), pages 683-706, October.
    12. Bezalel Peleg & Ariel D Procaccia, 2007. "Mediators Enable Truthful Voting," Levine's Bibliography 843644000000000039, UCLA Department of Economics.
    13. Klaus Nehring & Massimiliano Marcellino, 2003. "Monotonicity Implies Strategy-Proofness For Correspondences," Working Papers 193, University of California, Davis, Department of Economics.
    14. Joseph Abdou, 2012. "Stability and index of the meet game on a lattice," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(4), pages 775-789, November.
    15. Salvador Barberà & Dolors Berga & Bernardo Moreno, 2012. "Group strategy-proof social choice functions with binary ranges and arbitrary domains: characterization results," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(4), pages 791-808, November.
    16. Ermolov, Andrew N., 1995. "Coalitional manipulation in a quasilinear economy," Games and Economic Behavior, Elsevier, vol. 8(2), pages 349-363.
    17. Ehud Kalai & Dov Samet, 1986. "Are Bayesian-Nash Incentives and Implementations Perfect?," Discussion Papers 680, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    18. Bezalel Peleg & Ariel Procaccia, 2010. "Implementation by mediated equilibrium," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 191-207, March.
    19. Dominique Lepelley & Boniface Mbih, 1997. "Strategic Manipulation in Committees Using the Plurality Rule: Alternative Concepts and Frequency Calculations," Group Decision and Negotiation, Springer, vol. 6(2), pages 119-138, March.
    20. Sinan Ertemel & Levent Kutlu & M. Remzi Sanver, 2015. "Voting games of resolute social choice correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(1), pages 187-201, June.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:stcchp:978-3-642-13875-1_11. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.