IDEAS home Printed from https://ideas.repec.org/p/hoh/hohdip/191.html
   My bibliography  Save this paper

Implementation of Social Choice Functions via Demanding Equilibria

Author

Abstract

We consider agents who do not have any information about others' preferences. In this situation they attempt to behave such as to maximize their chances to obtain their most preferred alternative. This defines a solution concept for games symmetrical to Barbera and Dutta's protective equilibrium, the demanding equilibrium. Necessary and sufficient conditions for self implementation in demanding equilibria (side) of social choice functions are provided.

Suggested Citation

  • Vincent Merlin & Jörg Naeve, 2000. "Implementation of Social Choice Functions via Demanding Equilibria," Diskussionspapiere aus dem Institut für Volkswirtschaftslehre der Universität Hohenheim 191/2000, Department of Economics, University of Hohenheim, Germany, revised 25 Sep 2001.
    • Handle: RePEc:hoh:hohdip:191
    as

    Download full text from publisher

    File URL: http://www.uni-hohenheim.de/RePEc/hoh/papers/191.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Fiestras-Janeiro, G. & Borm, P.E.M. & van Megen, F.J.C., 1996. "Protective Behavior in Games," Other publications TiSEM 0f0d5aed-021d-45d8-9776-0, Tilburg University, School of Economics and Management.
    2. Dhillon, Amrita & Lockwood, Ben, 2004. "When are plurality rule voting games dominance-solvable?," Games and Economic Behavior, Elsevier, vol. 46(1), pages 55-75, January.
    3. Merlin, Vincent R. & Saari, Donald G., 1997. "Copeland Method II: Manipulation, Monotonicity, and Paradoxes," Journal of Economic Theory, Elsevier, vol. 72(1), pages 148-172, January.
    4. Naeve, Jorg, 2000. "Maximax, leximax, and the demanding criterion," Mathematical Social Sciences, Elsevier, vol. 40(3), pages 313-325, November.
    5. Smith, John H, 1973. "Aggregation of Preferences with Variable Electorate," Econometrica, Econometric Society, vol. 41(6), pages 1027-1041, November.
    6. E. Maskin, 1983. "The Theory of Implementation in Nash Equilibrium: A Survey," Working papers 333, Massachusetts Institute of Technology (MIT), Department of Economics.
    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. Donald G. Saari & Vincent R. Merlin, 1996. "The Copeland method (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 51-76.
    9. Fiestras-Janeiro, Gloria & Borm, Peter & van Megen, Freek, 1998. "Protective and Prudent Behaviour in Games," Journal of Economic Theory, Elsevier, vol. 78(1), pages 167-175, January.
    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. Walter Bossert & Kotaro Suzumura, 2017. "The greatest unhappiness of the least number," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(3), pages 637-655, December.
    2. José García-Lapresta & A. Marley & Miguel Martínez-Panero, 2010. "Characterizing best–worst voting systems in the scoring context," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(3), pages 487-496, March.
    3. Eliora Hout & Harrie Swart & Annemarie Veer, 2006. "Characteristic properties of list proportional representation systems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(3), pages 459-475, December.
    4. Orhan Erdem & M. Sanver, 2005. "Minimal monotonic extensions of scoring rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 25(1), pages 31-42, October.

    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. Laslier, Jean-Francois, 1996. "Rank-based choice correspondences," Economics Letters, Elsevier, vol. 52(3), pages 279-286, September.
    2. Channing Arndt & Azhar M. Hussain & Vincenzo Salvucci & Finn Tarp & Lars Peter Østerdal, 2016. "Poverty Mapping Based on First‐Order Dominance with an Example from Mozambique," Journal of International Development, John Wiley & Sons, Ltd., vol. 28(1), pages 3-21, January.
    3. Channing Arndt & Azhar M. Hussain & Vincenzo Salvucci & Finn Tarp & Lars Peter Østerdal, 2016. "Poverty Mapping Based on First‐Order Dominance with an Example from Mozambique," Journal of International Development, John Wiley & Sons, Ltd., vol. 28(1), pages 3-21, January.
    4. M. Quant & P. Borm & G. Fiestras-Janeiro & F. Megen, 2009. "On Properness and Protectiveness in Two-Person Multicriteria Games," Journal of Optimization Theory and Applications, Springer, vol. 140(3), pages 499-512, March.
    5. Josep Colomer, 2013. "Ramon Llull: from ‘Ars electionis’ to social choice theory," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 317-328, February.
    6. Christian Klamler, 2005. "On the Closeness Aspect of Three Voting Rules: Borda – Copeland – Maximin," Group Decision and Negotiation, Springer, vol. 14(3), pages 233-240, May.
    7. Michael Ackerman & Sul-Young Choi & Peter Coughlin & Eric Gottlieb & Japheth Wood, 2013. "Elections with partially ordered preferences," Public Choice, Springer, vol. 157(1), pages 145-168, October.
    8. Kamwa, Eric & Merlin, Vincent, 2015. "Scoring rules over subsets of alternatives: Consistency and paradoxes," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 130-138.
    9. 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.
    10. M. Sanver & William Zwicker, 2009. "One-way monotonicity as a form of strategy-proofness," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(4), pages 553-574, November.
    11. Naeve, Jorg, 2000. "Maximax, leximax, and the demanding criterion," Mathematical Social Sciences, Elsevier, vol. 40(3), pages 313-325, November.
    12. Gilboa, Itzhak & Schmeidler, David & Wakker, Peter P., 2002. "Utility in Case-Based Decision Theory," Journal of Economic Theory, Elsevier, vol. 105(2), pages 483-502, August.
    13. Shi, Yi & Deng, Yawen & Wang, Guoan & Xu, Jiuping, 2020. "Stackelberg equilibrium-based eco-economic approach for sustainable development of kitchen waste disposal with subsidy policy: A case study from China," Energy, Elsevier, vol. 196(C).
    14. Núñez, Matías & Laslier, Jean-François, 2015. "Bargaining through Approval," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 63-73.
    15. Bock, Hans-Hermann & Day, William H. E. & McMorris, F. R., 1998. "Consensus rules for committee elections," Mathematical Social Sciences, Elsevier, vol. 35(3), pages 219-232, May.
    16. Le Breton, Michel & Truchon, Michel, 1997. "A Borda measure for social choice functions," Mathematical Social Sciences, Elsevier, vol. 34(3), pages 249-272, October.
    17. De Sinopoli, Francesco, 2004. "A note on forward induction in a model of representative democracy," Games and Economic Behavior, Elsevier, vol. 46(1), pages 41-54, January.
    18. Burak Can & Peter Csoka & Emre Ergin, 2017. "How to choose a non-manipulable delegation?," CERS-IE WORKING PAPERS 1713, Institute of Economics, Centre for Economic and Regional Studies.
    19. Federica Ceron & Stéphane Gonzalez, 2019. "A characterization of Approval Voting without the approval balloting assumption," Working Papers halshs-02440615, HAL.
    20. Núñez, Matías & Sanver, M. Remzi, 2017. "Revisiting the connection between the no-show paradox and monotonicity," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 9-17.

    More about this item

    Keywords

    Implementation; Social Choice Function; Demanding Equilibrium; Voting;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:hoh:hohdip:191. 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: Ulrike Berberich (email available below). General contact details of provider: https://edirc.repec.org/data/ivhohde.html .

    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.