IDEAS home Printed from https://ideas.repec.org/p/hal/journl/hal-02979451.html
   My bibliography  Save this paper

Social choice and cooperative game therory: voting games as social aggregation functions

Author

Listed:
  • Mathieu Martin

    (THEMA - Théorie économique, modélisation et applications - CNRS - Centre National de la Recherche Scientifique - CY - CY Cergy Paris Université)

  • Maurice Salles

    (THEMA - Théorie économique, modélisation et applications - CNRS - Centre National de la Recherche Scientifique - CY - CY Cergy Paris Université)

Abstract

We consider voting games as procedures to aggregate individual preferences. We survey positive results on the nonemptiness of the core of voting games and explore other solutions concepts that are basic supersets of the core such as Rubinstein's stability set and two types of uncovered sets. We consider cases where the sets of alternatives are 'ordinary' sets, finite sets and infinite sets with possibly a topological structure.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Mathieu Martin & Maurice Salles, 2013. "Social choice and cooperative game therory: voting games as social aggregation functions," Post-Print hal-02979451, HAL.
    • Handle: RePEc:hal:journl:hal-02979451
    DOI: 10.1142/S0219198913400124
    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. Saari,Donald G., 2008. "Disposing Dictators, Demystifying Voting Paradoxes," Cambridge Books, Cambridge University Press, number 9780521731607.
    2. Bezalel Peleg & Hans Peters, 2010. "Strategic Social Choice," Studies in Choice and Welfare, Springer, number 978-3-642-13875-1, December.
    3. Gaertner,Wulf, 2006. "Domain Conditions in Social Choice Theory," Cambridge Books, Cambridge University Press, number 9780521028745.
    4. Saari,Donald G., 2008. "Disposing Dictators, Demystifying Voting Paradoxes," Cambridge Books, Cambridge University Press, number 9780521516051.
    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. Samaneh Zahedi & Amir Hedayati Aghmashhadi & Christine Fürst, 2021. "Optimal Politics of Conflict over Physical-Industrial Development Using a Technique of Cooperative Game Theory in Iran," Sustainability, MDPI, vol. 13(22), pages 1-20, November.
    2. Maurice Salles, 2017. "On Quine on Arrow," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(4), pages 877-886, April.

    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. Luc Lauwers, 2009. "The topological approach to the aggregation of preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(3), pages 449-476, September.
    2. Maurice Salles, 2014. "‘Social choice and welfare’ at 30: its role in the development of social choice theory and welfare economics," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(1), pages 1-16, January.
    3. Wu-Hsiung Huang, 2014. "Singularity and Arrow’s paradox," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(3), pages 671-706, March.
    4. Wesley H. Holliday & Eric Pacuit, 2020. "Arrow’s decisive coalitions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(2), pages 463-505, March.
    5. Thomas Ratliff & Donald Saari, 2014. "Complexities of electing diverse committees," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(1), pages 55-71, June.
    6. Conal Duddy & Ashley Piggins & William Zwicker, 2016. "Aggregation of binary evaluations: a Borda-like approach," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(2), pages 301-333, February.
    7. Shmuel Nitzan, 2010. "Demystifying the ‘metric approach to social compromise with the unanimity criterion’," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(1), pages 25-28, June.
    8. Pierre Dehez & Victor Ginsburgh, 2020. "Approval voting and Shapley ranking," Public Choice, Springer, vol. 184(3), pages 415-428, September.
    9. Peter Emerson, 2013. "The original Borda count and partial voting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 353-358, February.
    10. Donald G. Saari, 2014. "A New Way to Analyze Paired Comparison Rules," Mathematics of Operations Research, INFORMS, vol. 39(3), pages 647-655, August.
    11. Hulkower, Neal D., 2021. "Contre-degustation Olympiades du Vin According to Borda," Working Papers 321848, American Association of Wine Economists.
    12. Donald Saari, 2010. "Peter Emerson (ed): Designing an all-inclusive democracy," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(2), pages 331-335, July.
    13. Muhammad Mahajne & Shmuel Nitzan & Oscar Volij, 2013. "LEVEL r CONSENSUS AND STABLE SOCIAL CHOICE," Working Papers 1305, Ben-Gurion University of the Negev, Department of Economics.
    14. Wesley H. Holliday & Chase Norman & Eric Pacuit & Saam Zahedian, 2022. "Impossibility theorems involving weakenings of expansion consistency and resoluteness in voting," Papers 2208.06907, arXiv.org, revised Mar 2023.
    15. Maurice Salles, 2015. "Democracy, the theory of voting, and mathematics: a review of Andrank Tangian’s ‘Mathematical theory of democracy’," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(1), pages 209-216, January.
    16. Saari, Donald G. & McIntee, Tomas J., 2013. "Connecting pairwise and positional election outcomes," Mathematical Social Sciences, Elsevier, vol. 66(2), pages 140-151.
    17. Keith L. Dougherty & Julian Edward, 2022. "The effect of unconditional preferences on Sen’s paradox," Theory and Decision, Springer, vol. 93(3), pages 427-447, October.
    18. Mostapha Diss & Abdelmonaim Tlidi, 2018. "Another perspective on Borda’s paradox," Theory and Decision, Springer, vol. 84(1), pages 99-121, January.
    19. Emerson Peter, 2013. "“Peace-ful” Voting Procedures," Peace Economics, Peace Science, and Public Policy, De Gruyter, vol. 19(2), pages 249-273, August.
    20. Neal D. Hulkower & John Neatrour, 2019. "The Power of None," SAGE Open, , vol. 9(1), pages 21582440198, March.

    More about this item

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

    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:hal:journl:hal-02979451. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.