IDEAS home Printed from https://ideas.repec.org/a/the/publsh/2215.html
   My bibliography  Save this article

Existence and indeterminacy of markovian equilibria in dynamic bargaining games

Author

Listed:
  • Anesi, Vincent

    (School of Economics, University of Nottingham)

  • Duggan, John

    (Department of Political Science and Department of Economics, University of Rochester)

Abstract

The paper studies stationary Markov perfect equilibria in multidimensional models of dynamic bargaining, in which the alternative chosen in one period determines the status quo for the next. We generalize a sufficient condition for existence of equilibrium due to Anesi and Seidmann (2015). We then use this existence result to show that if a weak gradient restriction holds at an alternative, then when players are sufficiently patient, there is a continuum of equilibria with absorbing sets arbitrarily close to that alternative. A sufficient condition for our gradient restriction is that the gradients of all players' utilities are linearly independent at that alternative. When the dimensionality of the set of alternatives is high, this linear independence condition holds at almost all alternatives, and equilibrium absorbing sets are dense in the set of alternatives. This implies that constructive techniques, which are common in the literature, fail to identify many plausible outcomes in dynamic bargaining games.

Suggested Citation

  • Anesi, Vincent & Duggan, John, 2018. "Existence and indeterminacy of markovian equilibria in dynamic bargaining games," Theoretical Economics, Econometric Society, vol. 13(2), May.
  • Handle: RePEc:the:publsh:2215
    as

    Download full text from publisher

    File URL: http://econtheory.org/ojs/index.php/te/article/viewFile/20180505/20880/610
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Bowen, T. Renee & Zahran, Zaki, 2012. "On dynamic compromise," Games and Economic Behavior, Elsevier, vol. 76(2), pages 391-419.
    2. Baron, David P. & Bowen, T. Renee, 2013. "Dynamic Coalitions," Research Papers 2128, Stanford University, Graduate School of Business.
    3. Banks, Jeffrey S. & Duggan, John, 2006. "A General Bargaining Model of Legislative Policy-making," Quarterly Journal of Political Science, now publishers, vol. 1(1), pages 49-85, January.
    4. Duggan, John & Kalandrakis, Tasos, 2012. "Dynamic legislative policy making," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1653-1688.
    5. Anesi, Vincent & Seidmann, Daniel J., 2014. "Bargaining over an endogenous agenda," Theoretical Economics, Econometric Society, vol. 9(2), May.
    6. 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.
    7. Thomas Romer & Howard Rosenthal, 1978. "Political resource allocation, controlled agendas, and the status quo," Public Choice, Springer, vol. 33(4), pages 27-43, December.
    8. Vincent Anesi & Daniel J Seidmann, 2012. "Bargaining in Standing Committees," Discussion Papers 2012-09, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    9. Wioletta Dziuda & Antoine Loeper, 2016. "Dynamic Collective Choice with Endogenous Status Quo," Journal of Political Economy, University of Chicago Press, vol. 124(4), pages 1148-1186.
    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. Anesi, Vincent, 2010. "Noncooperative foundations of stable sets in voting games," Games and Economic Behavior, Elsevier, vol. 70(2), pages 488-493, November.
    12. Diermeier, Daniel & Fong, Pohan, 2012. "Characterization of the von Neumann–Morgenstern stable set in a non-cooperative model of dynamic policy-making with a persistent agenda setter," Games and Economic Behavior, Elsevier, vol. 76(1), pages 349-353.
    13. McKelvey, Richard D, 1979. "General Conditions for Global Intransitivities in Formal Voting Models," Econometrica, Econometric Society, vol. 47(5), pages 1085-1112, September.
    14. Kalandrakis, Anastassios, 2004. "A three-player dynamic majoritarian bargaining game," Journal of Economic Theory, Elsevier, vol. 116(2), pages 294-322, June.
    15. Tasos Kalandrakis, 2016. "Pareto efficiency in the dynamic one-dimensional bargaining model," Journal of Theoretical Politics, , vol. 28(4), pages 525-536, October.
    16. Daniel Diermeier & Pohan Fong, 2011. "Legislative Bargaining with Reconsideration," The Quarterly Journal of Economics, Oxford University Press, vol. 126(2), pages 947-985.
    17. Smale, S., 1974. "Global analysis and economics III : Pareto Optima and price equilibria," Journal of Mathematical Economics, Elsevier, vol. 1(2), pages 107-117, August.
    18. Richter, Michael, 2014. "Fully absorbing dynamic compromise," Journal of Economic Theory, Elsevier, vol. 152(C), pages 92-104.
    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. Vincent Martinet & Pedro Gajardo & Michel De Lara & Héctor Ramírez Cabrera, 2011. "Bargaining with intertemporal maximin payoffs," EconomiX Working Papers 2011-7, University of Paris Nanterre, EconomiX.
    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. Baron, David P. & Bowen, T. Renee & Nunnari, Salvatore, 2017. "Durable coalitions and communication: Public versus private negotiations," Journal of Public Economics, Elsevier, vol. 156(C), pages 1-13.
    4. Marina Agranov & Christopher Cotton & Chloe Tergiman, 2016. "Persistence Of Power: Repeated Multilateral Bargaining," Working Paper 1374, Economics Department, Queen's University.
    5. Zapal, Jan, 2016. "Markovian equilibria in dynamic spatial legislative bargaining: Existence with three players," Games and Economic Behavior, Elsevier, vol. 98(C), pages 235-242.
    6. Vincent Anesi, 2018. "Dynamic Legislative Policy Making under Adverse Selection," Discussion Papers 2018-08, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    7. Zapal, Jan, 2020. "Simple Markovian equilibria in dynamic spatial legislative bargaining," European Journal of Political Economy, Elsevier, vol. 63(C).
    8. 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.
    9. Hülya Eraslan & Kirill Evdokimov & Jan Zápal, 2020. "Dynamic Legislative Bargaining," ISER Discussion Paper 1090, Institute of Social and Economic Research, Osaka University.
    10. Daniel Diermeier & Georgy Egorov & Konstantin Sonin, 2017. "Political Economy of Redistribution," Econometrica, Econometric Society, vol. 85, pages 851-870, May.
    11. Marina Azzimonti & Gabriel P. Mihalache & Laura Karpuska, 2020. "Bargaining over Taxes and Entitlements," NBER Working Papers 27595, National Bureau of Economic Research, Inc.

    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. Hülya Eraslan & Kirill Evdokimov & Jan Zápal, 2020. "Dynamic Legislative Bargaining," ISER Discussion Paper 1090, Institute of Social and Economic Research, Osaka University.
    3. Anesi, Vincent & Seidmann, Daniel J., 2014. "Bargaining over an endogenous agenda," Theoretical Economics, Econometric Society, vol. 9(2), May.
    4. Tasos Kalandrakis, 2016. "Pareto efficiency in the dynamic one-dimensional bargaining model," Journal of Theoretical Politics, , vol. 28(4), pages 525-536, October.
    5. Nunnari, Salvatore, 2021. "Dynamic legislative bargaining with veto power: Theory and experiments," Games and Economic Behavior, Elsevier, vol. 126(C), pages 186-230.
    6. Anesi, Vincent & Duggan, John, 2017. "Dynamic bargaining and stability with veto players," Games and Economic Behavior, Elsevier, vol. 103(C), pages 30-40.
    7. 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.
    8. Vincent Anesi, 2018. "Dynamic Legislative Policy Making under Adverse Selection," Discussion Papers 2018-08, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    9. Daniel Diermeier & Georgy Egorov & Konstantin Sonin, 2017. "Political Economy of Redistribution," Econometrica, Econometric Society, vol. 85, pages 851-870, May.
    10. Vincent Anesi & John Duggan, 2015. "Dynamic Bargaining and External Stability with Veto Players," Discussion Papers 2015-12, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    11. Marina Azzimonti & Gabriel P. Mihalache & Laura Karpuska, 2020. "Bargaining over Taxes and Entitlements," NBER Working Papers 27595, National Bureau of Economic Research, Inc.
    12. 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.
    13. 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).
    14. Baron, David P. & Bowen, T. Renee, 2013. "Dynamic Coalitions," Research Papers 2128, Stanford University, Graduate School of Business.
    15. Vincent Anesi & Daniel J Seidmann, 2012. "Bargaining in Standing Committees," Discussion Papers 2012-09, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    16. Anesi, Vincent & Seidmann, Daniel J., 2014. "Bargaining over an endogenous agenda," Theoretical Economics, Econometric Society, vol. 9(2), May.
    17. David P. Baron, 2019. "Simple dynamics of legislative bargaining: coalitions and proposal power," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(1), pages 319-344, February.
    18. Baron, David P. & Bowen, T. Renee & Nunnari, Salvatore, 2017. "Durable coalitions and communication: Public versus private negotiations," Journal of Public Economics, Elsevier, vol. 156(C), pages 1-13.
    19. 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.
    20. Anesi, Vincent & Bowen, T. Renee, 2018. "Policy Experimentation, Redistribution and Voting Rules," CEPR Discussion Papers 12797, C.E.P.R. Discussion Papers.

    More about this item

    Keywords

    Legislative bargaining; endogenous status quo; Markovian equilibrium; simple solution;
    All these keywords.

    JEL classification:

    • 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
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

    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:the:publsh:2215. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: http://econtheory.org .

    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: Martin J. Osborne (email available below). General contact details of provider: http://econtheory.org .

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.