IDEAS home Printed from https://ideas.repec.org/a/eee/jetheo/v210y2023ics0022053123000455.html
   My bibliography  Save this article

Efficiency and surplus distribution in majoritarian reputational bargaining

Author

Listed:
  • Ma, Zizhen

Abstract

This paper studies majoritarian reputational bargaining. Three agents bargain over the division of one dollar under majority rule, and proposers are randomly chosen. Each agent has private information about whether she is a rational type that maximizes her expected share of the dollar or an obstinate type that commits to claiming a certain share of the dollar. Efficiency and surplus distribution in majoritarian reputational bargaining may differ from their counterparts in bilateral reputational bargaining. In a particular equilibrium of our majoritarian game, efficiency loss vanishes asymptotically as the agents become patient, and bargaining ends immediately if all agents are rational. Moreover, the agent who has the lowest positive ex ante probability of being obstinate achieves the highest ex ante payoff, when such probabilities for all agents are sufficiently low.

Suggested Citation

  • Ma, Zizhen, 2023. "Efficiency and surplus distribution in majoritarian reputational bargaining," Journal of Economic Theory, Elsevier, vol. 210(C).
    • Handle: RePEc:eee:jetheo:v:210:y:2023:i:c:s0022053123000455
    DOI: 10.1016/j.jet.2023.105649
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0022053123000455
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jet.2023.105649?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. Fudenberg, Drew & Tirole, Jean, 1991. "Perfect Bayesian equilibrium and sequential equilibrium," Journal of Economic Theory, Elsevier, vol. 53(2), pages 236-260, April.
    2. Baron, David P. & Ferejohn, John A., 1989. "Bargaining in Legislatures," American Political Science Review, Cambridge University Press, vol. 83(4), pages 1181-1206, December.
    3. , & ,, 2014. "Rhetoric in legislative bargaining with asymmetric information," Theoretical Economics, Econometric Society, vol. 9(2), May.
    4. Ali, S. Nageeb M., 2006. "Waiting to settle: Multilateral bargaining with subjective biases," Journal of Economic Theory, Elsevier, vol. 130(1), pages 109-137, September.
    5. S Nageeb Ali & B Douglas Bernheim & Xiaochen Fan, 2019. "Predictability and Power in Legislative Bargaining," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(2), pages 500-525.
    6. Eraslan, Hülya & McLennan, Andrew, 2013. "Uniqueness of stationary equilibrium payoffs in coalitional bargaining," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2195-2222.
    7. Dilip Abreu & Faruk Gul, 2000. "Bargaining and Reputation," Econometrica, Econometric Society, vol. 68(1), pages 85-118, January.
    8. Gul, Faruk & Sonnenschein, Hugo & Wilson, Robert, 1986. "Foundations of dynamic monopoly and the coase conjecture," Journal of Economic Theory, Elsevier, vol. 39(1), pages 155-190, June.
    9. Tsung‐Sheng Tsai & C. C. Yang, 2010. "On Majoritarian Bargaining With Incomplete Information," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 51(4), pages 959-979, November.
    10. Olivier Compte & Philippe Jehiel, 2002. "On the Role of Outside Options in Bargaining with Obstinate Parties," Econometrica, Econometric Society, vol. 70(4), pages 1477-1517, July.
    11. 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.
    12. Ausubel, Lawrence M. & Cramton, Peter & Deneckere, Raymond J., 2002. "Bargaining with incomplete information," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 50, pages 1897-1945, Elsevier.
    13. Kambe, Shinsuke, 1999. "Bargaining with Imperfect Commitment," Games and Economic Behavior, Elsevier, vol. 28(2), pages 217-237, August.
    14. Meirowitz, Adam & Shotts, Kenneth W., 2009. "Pivots versus signals in elections," Journal of Economic Theory, Elsevier, vol. 144(2), pages 744-771, March.
    15. Banks, Jeffrey S & Sobel, Joel, 1987. "Equilibrium Selection in Signaling Games," Econometrica, Econometric Society, vol. 55(3), pages 647-661, May.
    16. Eraslan, Hulya & Merlo, Antonio, 2002. "Majority Rule in a Stochastic Model of Bargaining," Journal of Economic Theory, Elsevier, vol. 103(1), pages 31-48, March.
    17. Banks, Jeffrey s. & Duggan, John, 2000. "A Bargaining Model of Collective Choice," American Political Science Review, Cambridge University Press, vol. 94(1), pages 73-88, March.
    18. Kambe, Shinsuke, 2019. "An N-person war of attrition with the possibility of a non-compromising type," Theoretical Economics, Econometric Society, vol. 14(3), July.
    19. Eraslan, Hulya, 2002. "Uniqueness of Stationary Equilibrium Payoffs in the Baron-Ferejohn Model," Journal of Economic Theory, Elsevier, vol. 103(1), pages 11-30, March.
    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. Miettinen, Topi & Vanberg, Christoph, 2020. "Commitment and Conflict in Multilateral Bargaining," Working Papers 0679, University of Heidelberg, Department of Economics.
    2. Eraslan, Hülya & McLennan, Andrew, 2013. "Uniqueness of stationary equilibrium payoffs in coalitional bargaining," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2195-2222.
    3. Eraslan, Hülya & Merlo, Antonio, 2017. "Some unpleasant bargaining arithmetic?," Journal of Economic Theory, Elsevier, vol. 171(C), pages 293-315.
    4. Zapal, Jan, 2020. "Simple Markovian equilibria in dynamic spatial legislative bargaining," European Journal of Political Economy, Elsevier, vol. 63(C).
    5. Jan Zápal, 2017. "Crafting consensus," Public Choice, Springer, vol. 173(1), pages 169-200, October.
    6. Yves Breitmoser, 2011. "Parliamentary bargaining with priority recognition for committee members," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(1), pages 149-169, June.
    7. Seok-ju Cho & John Duggan, 2015. "A folk theorem for the one-dimensional spatial bargaining model," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(4), pages 933-948, November.
    8. Kim, Duk Gyoo, 2019. "Recognition without replacement in legislative bargaining," Games and Economic Behavior, Elsevier, vol. 118(C), pages 161-175.
    9. Cho, Seok-ju & Duggan, John, 2009. "Bargaining foundations of the median voter theorem," Journal of Economic Theory, Elsevier, vol. 144(2), pages 851-868, March.
    10. Agranov, Marina & Tergiman, Chloe, 2014. "Communication in multilateral bargaining," Journal of Public Economics, Elsevier, vol. 118(C), pages 75-85.
    11. Abreu, Dilip & Pearce, David G. & Stacchetti, Ennio, 2015. "One-sided uncertainty and delay in reputational bargaining," Theoretical Economics, Econometric Society, vol. 10(3), September.
    12. Laruelle, Annick & Valenciano, Federico, 2008. "Noncooperative foundations of bargaining power in committees and the Shapley-Shubik index," Games and Economic Behavior, Elsevier, vol. 63(1), pages 341-353, May.
    13. Le Breton, Michel & Montero, Maria & Zaporozhets, Vera, 2012. "Voting power in the EU council of ministers and fair decision making in distributive politics," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 159-173.
    14. Seres, Gyula, 2019. "Uncertain Commitment Power in a Durable Good Monopoly," Other publications TiSEM bece5078-67ec-458b-807c-3, Tilburg University, School of Economics and Management.
    15. Tasos Kalandrakis, 2006. "Regularity of pure strategy equilibrium points in a class of bargaining games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(2), pages 309-329, June.
    16. Herings, P. Jean-Jacques & Meshalkin, Andrey & Predtetchinski, Arkadi, 2018. "Subgame perfect equilibria in majoritarian bargaining," Journal of Mathematical Economics, Elsevier, vol. 76(C), pages 101-112.
    17. 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).
    18. Miller, Luis & Montero, Maria & Vanberg, Christoph, 2018. "Legislative bargaining with heterogeneous disagreement values: Theory and experiments," Games and Economic Behavior, Elsevier, vol. 107(C), pages 60-92.
    19. Le Breton, Michel & Thomas, Alban & Zaporozhets, Vera, 2012. "Bargaining in River Basin Committees: Rules Versus Discretion," LERNA Working Papers 12.12.369, LERNA, University of Toulouse.
    20. Christopher Tyson, 2010. "Dominance solvability of dynamic bargaining games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(3), pages 457-477, June.

    More about this item

    Keywords

    Reputational bargaining; Legislative bargaining;

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • 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:eee:jetheo:v:210:y:2023:i:c:s0022053123000455. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622869 .

    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.