IDEAS home Printed from https://ideas.repec.org/p/not/notcdx/2007-09.html
   My bibliography  Save this paper

Noncooperative Foundations of Stable Sets in Voting Games

Author

Listed:
  • Vincent Anesi

    (University of Nottingham)

Abstract

This note studies the noncooperative foundations of von Neumann- Morgenstern (vN-M) stable sets in voting games. To do so, we study Markov perfect equilibria of a noncooperative legislative bargaining game, based on underlying simple games. The following result emerges from such an exercise: Every stable set of the underlying simple game is the limit set of undominated Markov perfect equilibria of the bargaining game, which form a strategically stable set of equilibria, when voters are suficiently farsighted; thus establishing a relationship between vN-M stability and strategic stability in voting games.

Suggested Citation

  • Vincent Anesi, 2007. "Noncooperative Foundations of Stable Sets in Voting Games," Discussion Papers 2007-09, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    • Handle: RePEc:not:notcdx:2007-09
    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. Marco Battaglini & Stephen Coate, 2007. "Inefficiency in Legislative Policymaking: A Dynamic Analysis," American Economic Review, American Economic Association, vol. 97(1), pages 118-149, March.
    2. Marco Battaglini & Stephen Coate, 2008. "A Dynamic Theory of Public Spending, Taxation, and Debt," American Economic Review, American Economic Association, vol. 98(1), pages 201-236, March.
    3. Baron, David P. & Ferejohn, John A., 1989. "Bargaining in Legislatures," American Political Science Review, Cambridge University Press, vol. 83(4), pages 1181-1206, December.
    4. Francesco De Sinopoli, 2000. "Sophisticated voting and equilibrium refinements under plurality rule," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(4), pages 655-672.
    5. Ordeshook,Peter C., 1986. "Game Theory and Political Theory," Cambridge Books, Cambridge University Press, number 9780521315937.
    6. Jean-François Mertens, 1989. "Stable Equilibria---A Reformulation," Mathematics of Operations Research, INFORMS, vol. 14(4), pages 575-625, November.
    7. MERTENS, Jean-François, 1989. "Stable equilibria - a reformulation. Part I. Definition and basic properties," LIDAM Reprints CORE 866, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. 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.
    9. Marco Battaglini & Thomas Palfrey, 2012. "The dynamics of distributive politics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(3), pages 739-777, April.
    10. John Duggan & Tasos Kalandrakis, 2011. "A Newton collocation method for solving dynamic bargaining games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 36(3), pages 611-650, April.
    11. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
    12. Pohan Fong, 2008. "Endogenous Limits on Proposal Power," Discussion Papers 1465, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    13. Drew Fudenberg & David Levine, 2008. "Subgame–Perfect Equilibria of Finite– and Infinite–Horizon Games," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 1, pages 3-20, World Scientific Publishing Co. Pte. Ltd..
    14. Kalandrakis, Anastassios, 2004. "A three-player dynamic majoritarian bargaining game," Journal of Economic Theory, Elsevier, vol. 116(2), pages 294-322, June.
    15. MERTENS, Jean-François, 1991. "Stable equilibria - a reformulation. Part II. Discussion of the definition, and further results," LIDAM Reprints CORE 960, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    16. Duggan, John & Kalandrakis, Tasos, 2012. "Dynamic legislative policy making," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1653-1688.
    17. Francesco De sinopoli & Alessandro Turrini, 2002. "A Remark on Voters’ Rationality in a Model of Representative Democracy," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 4(2), pages 163-170, April.
    18. Hillas, John, 1990. "On the Definition of the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 58(6), pages 1365-1390, November.
    19. John C. Harsanyi, 1974. "An Equilibrium-Point Interpretation of Stable Sets and a Proposed Alternative Definition," Management Science, INFORMS, vol. 20(11), pages 1472-1495, July.
    20. Montero, Maria, 2006. "Noncooperative foundations of the nucleolus in majority games," Games and Economic Behavior, Elsevier, vol. 54(2), pages 380-397, February.
    21. Pohan Fong, 2008. "Existence and Computation of Pure-strategy Equilibria in Models of Legislative Bargaining with Reconsideration," Discussion Papers 1466, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    22. Vincent Anesi, 2006. "Committees with Farsighted Voters: A New Interpretation of Stable Sets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(3), pages 595-610, December.
    23. DE SINOPOLI, Francesco & TURRINI, Alessandro, 1999. "A remark on voters’ rationality in Besley and coate model of representative democracy," LIDAM Discussion Papers CORE 1999027, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    24. Le Breton, M. & Weber, S., 1991. "A Note on the Core and von Neumann-Morgenstern Solutions of Simple Games," Papers 91-12, York (Canada) - Department of Economics.
    25. Baron, David P., 1996. "A Dynamic Theory of Collective Goods Programs," American Political Science Review, Cambridge University Press, vol. 90(2), pages 316-330, June.
    Full references (including those not matched with items on IDEAS)

    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. Zapal, Jan, 2020. "Simple Markovian equilibria in dynamic spatial legislative bargaining," European Journal of Political Economy, Elsevier, vol. 63(C).
    2. Nunnari, Salvatore, 2021. "Dynamic legislative bargaining with veto power: Theory and experiments," Games and Economic Behavior, Elsevier, vol. 126(C), pages 186-230.
    3. , & , J., 2014. "Bargaining over an endogenous agenda," Theoretical Economics, Econometric Society, vol. 9(2), May.
    4. Hülya Eraslan & Kirill S. Evdokimov & Jan Zápal, 2022. "Dynamic Legislative Bargaining," Springer Books, in: Emin Karagözoğlu & Kyle B. Hyndman (ed.), Bargaining, chapter 0, pages 151-175, Springer.
    5. Daniel Diermeier & Pohan Fong, 2011. "Legislative Bargaining with Reconsideration," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 126(2), pages 947-985.
    6. Duggan, John & Kalandrakis, Tasos, 2012. "Dynamic legislative policy making," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1653-1688.
    7. 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.
    8. John Duggan & Tasos Kalandrakis, 2011. "A Newton collocation method for solving dynamic bargaining games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 36(3), pages 611-650, April.
    9. T. Renee Bowen & Ying Chen & H?lya Eraslan, 2014. "Mandatory versus Discretionary Spending: The Status Quo Effect," American Economic Review, American Economic Association, vol. 104(10), pages 2941-2974, October.
    10. Tasos Kalandrakis, 2016. "Pareto efficiency in the dynamic one-dimensional bargaining model," Journal of Theoretical Politics, , vol. 28(4), pages 525-536, October.
    11. Agranov, Marina & Cotton, Christopher & Tergiman, Chloe, 2020. "Persistence of power: Repeated multilateral bargaining with endogenous agenda setting authority," Journal of Public Economics, Elsevier, vol. 184(C).
    12. Daniel Diermeier & Georgy Egorov & Konstantin Sonin, 2017. "Political Economy of Redistribution," Econometrica, Econometric Society, vol. 85, pages 851-870, May.
    13. Tasos Kalandrakis, 2010. "Minimum winning coalitions and endogenous status quo," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(4), pages 617-643, October.
    14. Bowen, T. Renee & Zahran, Zaki, 2012. "On dynamic compromise," Games and Economic Behavior, Elsevier, vol. 76(2), pages 391-419.
    15. Marina Azzimonti & Laura Karpuska & Gabriel Mihalache, 2020. "Bargaining over Mandatory Spending and Entitlements," Department of Economics Working Papers 20-02, Stony Brook University, Department of Economics.
    16. Pohan Fong, 2008. "Endogenous Limits on Proposal Power," Discussion Papers 1465, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    17. Elizabeth Maggie Penn, 2009. "A Model of Farsighted Voting," American Journal of Political Science, John Wiley & Sons, vol. 53(1), pages 36-54, January.
    18. Anesi, Vincent & Duggan, John, 2018. "Existence and indeterminacy of markovian equilibria in dynamic bargaining games," Theoretical Economics, Econometric Society, vol. 13(2), May.
    19. Daniel Diermeier & Pohan Fong, 2011. "Bargaining over the budget," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 36(3), pages 565-589, April.
    20. Bowen, T. Renee & Chen, Ying & Eraslan, Hülya & Zápal, Jan, 2017. "Efficiency of flexible budgetary institutions," Journal of Economic Theory, Elsevier, vol. 167(C), pages 148-176.

    More about this item

    Keywords

    Legislative bargaining; committee; strategic stability; stable set.;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

    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:not:notcdx:2007-09. 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: Jose V Guinot Saporta (email available below). General contact details of provider: https://edirc.repec.org/data/cdnotuk.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.