IDEAS home Printed from https://ideas.repec.org/a/spr/sochwe/v45y2015i1p187-201.html
   My bibliography  Save this article

Voting games of resolute social choice correspondences

Author

Listed:
  • Sinan Ertemel
  • Levent Kutlu
  • M. Remzi Sanver

Abstract

A resolute social choice correspondence is a social choice rule which maps preference profiles into sets of mutually compatible outcomes. We consider a fairly large class of resolute social choice correspondences and characterize the strong Nash equilibrium outcomes of their voting games in terms of a generalization of the Condorcet principle. Our findings generalize those of Sertel and Sanver (Soc Choice Welf 22:331–347, 2004 ) who address the same question in a more restricted framework. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • 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.
  • Handle: RePEc:spr:sochwe:v:45:y:2015:i:1:p:187-201
    DOI: 10.1007/s00355-015-0872-9
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00355-015-0872-9
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s00355-015-0872-9?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Moulin, Herve, 1979. "Dominance Solvable Voting Schemes," Econometrica, Econometric Society, vol. 47(6), pages 1137-1151, November.
    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. Bora Erdamar & M. Sanver, 2009. "Choosers as extension axioms," Theory and Decision, Springer, vol. 67(4), pages 375-384, October.
    4. Kelly, Jerry S, 1977. "Strategy-Proofness and Social Choice Functions without Singlevaluedness," Econometrica, Econometric Society, vol. 45(2), pages 439-446, March.
    5. Sertel, Murat R. & Sanver, M. Remzi, 1999. "Equilibrium outcomes of Lindahl-endowment pretension games1," European Journal of Political Economy, Elsevier, vol. 15(2), pages 149-162, June.
    6. Alexander Reffgen, 2011. "Generalizing the Gibbard–Satterthwaite theorem: partial preferences, the degree of manipulation, and multi-valuedness," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(1), pages 39-59, June.
    7. William Thomson, 1984. "The Manipulability of Resource Allocation Mechanisms," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(3), pages 447-460.
    8. Hans Keiding & Bezalel Peleg, 2002. "Representation of effectivity functions in coalition proof Nash equilibrium: A complete characterization," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(2), pages 241-263.
    9. M. Sanver, 2005. "Equilibrium allocations of endowment-pretension games in public good economies," Review of Economic Design, Springer;Society for Economic Design, vol. 9(4), pages 307-316, December.
    10. repec:dau:papers:123456789/13220 is not listed on IDEAS
    11. Leonid Hurwicz & Murat R. Sertel, 1999. "Designing Mechanisms, in Particular for Electoral Systems: The Majoritarian Compromise," International Economic Association Series, in: Murat R. Sertel (ed.), Contemporary Economic Issues, chapter 4, pages 69-88, Palgrave Macmillan.
    12. 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.
    13. Tadenuma Koichi & Thomson William, 1995. "Games of Fair Division," Games and Economic Behavior, Elsevier, vol. 9(2), pages 191-204, May.
    14. Ichiishi, Tatsuro, 1986. "Stable Extensive Game Forms with Perfect Information," International Journal of Game Theory, Springer;Game Theory Society, vol. 15(3), pages 163-174.
    15. Satterthwaite, Mark Allen, 1975. "Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions," Journal of Economic Theory, Elsevier, vol. 10(2), pages 187-217, April.
    16. Salvador Barberà & Danilo Coelho, 2008. "How to choose a non-controversial list with k names," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(1), pages 79-96, June.
    17. M. Remzi Sanver, 2002. "An Allocation Rule with Wealth‐Regressive Tax Rates," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 4(1), pages 63-69, January.
    18. Barberà, Salvador & Coelho, Danilo, 2010. "On the rule of k names," Games and Economic Behavior, Elsevier, vol. 70(1), pages 44-61, September.
    19. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
    20. Selçuk Özyurt & M. Sanver, 2008. "Strategy-proof resolute social choice correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(1), pages 89-101, January.
    21. Hervé Moulin, 1981. "The Proportional Veto Principle," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(3), pages 407-416.
    22. Barış Kaymak & M. Remzi Sanver, 2003. "Sets of alternatives as Condorcet winners," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 20(3), pages 477-494, June.
    23. Otani, Yoshihiko & Sicilian, Joseph, 1982. "Equilibrium allocations of Walrasian preference games," Journal of Economic Theory, Elsevier, vol. 27(1), pages 47-68, June.
    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. Barberà, Salvador & Coelho, Danilo, 2017. "Balancing the power to appoint officers," Games and Economic Behavior, Elsevier, vol. 101(C), pages 189-203.

    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. Egor Ianovski & Mark C. Wilson, 2019. "Manipulability of consular election rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(2), pages 363-393, February.
    2. 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.
    3. Klaus Nehring & Massimiliano Marcellino, 2003. "Monotonicity Implies Strategy-Proofness For Correspondences," Working Papers 193, University of California, Davis, Department of Economics.
    4. Barberà, Salvador & Coelho, Danilo, 2017. "Balancing the power to appoint officers," Games and Economic Behavior, Elsevier, vol. 101(C), pages 189-203.
    5. Özyurt, Selçuk & Sanver, M. Remzi, 2009. "A general impossibility result on strategy-proof social choice hyperfunctions," Games and Economic Behavior, Elsevier, vol. 66(2), pages 880-892, July.
    6. Aleskerov, Fuad & Karabekyan, Daniel & Sanver, M. Remzi & Yakuba, Vyacheslav, 2012. "On the manipulability of voting rules: The case of 4 and 5 alternatives," Mathematical Social Sciences, Elsevier, vol. 64(1), pages 67-73.
    7. Brandt, Felix & Saile, Christian & Stricker, Christian, 2022. "Strategyproof social choice when preferences and outcomes may contain ties," Journal of Economic Theory, Elsevier, vol. 202(C).
    8. 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.
    9. Corchón, Luis C., 2008. "The theory of implementation : what did we learn?," UC3M Working papers. Economics we081207, Universidad Carlos III de Madrid. Departamento de Economía.
    10. Alexander Reffgen, 2011. "Generalizing the Gibbard–Satterthwaite theorem: partial preferences, the degree of manipulation, and multi-valuedness," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(1), pages 39-59, June.
    11. M. Sanver & William Zwicker, 2012. "Monotonicity properties and their adaptation to irresolute social choice rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(2), pages 371-398, July.
    12. Bochet, Olivier & Sakai, Toyotaka, 2007. "Strategic manipulations of multi-valued solutions in economies with indivisibilities," Mathematical Social Sciences, Elsevier, vol. 53(1), pages 53-68, January.
    13. Hirofumi Yamamura & Ryo Kawasaki, 2013. "Generalized average rules as stable Nash mechanisms to implement generalized median rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(3), pages 815-832, March.
    14. Elkind, Edith & Grandi, Umberto & Rossi, Francesca & Slinko, Arkadii, 2020. "Cognitive hierarchy and voting manipulation in k-approval voting," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 193-205.
    15. Núñez, Matías & Laslier, Jean-François, 2015. "Bargaining through Approval," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 63-73.
    16. Barbera, S. & Bossert, W. & Pattanaik, P.K., 2001. "Ranking Sets of Objects," Cahiers de recherche 2001-02, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    17. Benoît R. Kloeckner, 2022. "Cycles in synchronous iterative voting: general robustness and examples in Approval Voting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(2), pages 423-466, August.
    18. 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.
    19. Sebastien Courtin & Boniface Mbih & Issofa Moyouwou, 2009. "Susceptibility to coalitional strategic sponsoring The case of parliamentary agendas," Post-Print hal-00914855, HAL.
    20. Otten, Gert-Jan & Borm, Peter & Storcken, Ton & Tijs, Stef, 1997. "Decomposable effectivity functions," Mathematical Social Sciences, Elsevier, vol. 33(3), pages 277-289, June.

    More about this item

    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:sochwe:v:45:y:2015:i:1:p:187-201. 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.