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Recognition without replacement in legislative bargaining

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  • Kim, Duk Gyoo

Abstract

This paper studies infinite-horizon sequential bargaining among n≥3 players in which a proposer is randomly selected from the pool of potential proposers. If the proposal is rejected, the current and previous proposers are excluded from the pool of potential proposers, and the game moves on to the next round until every player has had the same number of opportunities to be the proposer. To analyze the model with a particular time dependency within each sequence of n rounds (a cycle), I characterize the stationary equilibrium of a stochastic game, which I call cycle-stationary subgame perfect (CSSP) equilibrium. The CSSP equilibrium is unique in payoffs and analogous to the subgame perfect equilibrium of some forms of finite-horizon bargaining. Even when every player is entirely patient, the proposer's share in the CSSP equilibrium is smaller than that predicted by the stationary equilibrium of the Baron–Ferejohn legislative bargaining model.

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  • Kim, Duk Gyoo, 2019. "Recognition without replacement in legislative bargaining," Games and Economic Behavior, Elsevier, vol. 118(C), pages 161-175.
    • Handle: RePEc:eee:gamebe:v:118:y:2019:i:c:p:161-175
    DOI: 10.1016/j.geb.2019.09.007
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    1. Volden, Craig & Wiseman, Alan E., 2007. "Bargaining in Legislatures over Particularistic and Collective Goods," American Political Science Review, Cambridge University Press, vol. 101(1), pages 79-92, February.
    2. 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.
    3. Diermeier, Daniel & Merlo, Antonio, 2000. "Government Turnover in Parliamentary Democracies," Journal of Economic Theory, Elsevier, vol. 94(1), pages 46-79, September.
    4. Stephen Ansolabehere & James M. Snyder & Aaron B. Strauss & Michael M. Ting, 2005. "Voting Weights and Formateur Advantages in the Formation of Coalition Governments," American Journal of Political Science, John Wiley & Sons, vol. 49(3), pages 550-563, July.
    5. Baron, David P. & Ferejohn, John A., 1989. "Bargaining in Legislatures," American Political Science Review, Cambridge University Press, vol. 83(4), pages 1181-1206, December.
    6. James M. Snyder Jr. & Michael M. Ting & Stephen Ansolabehere, 2005. "Legislative Bargaining under Weighted Voting," American Economic Review, American Economic Association, vol. 95(4), pages 981-1004, September.
    7. Yildirim, Huseyin, 2007. "Proposal power and majority rule in multilateral bargaining with costly recognition," Journal of Economic Theory, Elsevier, vol. 136(1), pages 167-196, September.
    8. Hülya Eraslan & Kirill S. Evdokimov, 2019. "Legislative and Multilateral Bargaining," Annual Review of Economics, Annual Reviews, vol. 11(1), pages 443-472, August.
    9. Eraslan, Hülya & McLennan, Andrew, 2013. "Uniqueness of stationary equilibrium payoffs in coalitional bargaining," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2195-2222.
    10. Eraslan, Hulya & Evdokimov, Kirill S., 2019. "Legislative and Multilateral Bargaining," Working Papers 19-007, Rice University, Department of Economics.
    11. 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.
    12. Daniel Cardona & Arnold Polanski, 2013. "Voting rules and efficiency in one-dimensional bargaining games with endogenous protocol," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(2), pages 217-240, July.
    13. Ali, S. Nageeb, 2015. "Recognition for sale," Journal of Economic Theory, Elsevier, vol. 155(C), pages 16-29.
    14. Evans, Robert, 1997. "Coalitional Bargaining with Competition to Make Offers," Games and Economic Behavior, Elsevier, vol. 19(2), pages 211-220, May.
    15. Jackson, Matthew O. & Moselle, Boaz, 2002. "Coalition and Party Formation in a Legislative Voting Game," Journal of Economic Theory, Elsevier, vol. 103(1), pages 49-87, March.
    16. 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.
    17. 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.
    18. Norman, Peter, 2002. "Legislative Bargaining and Coalition Formation," Journal of Economic Theory, Elsevier, vol. 102(2), pages 322-353, February.
    19. 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.
    20. 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.
    21. Daniel Diermeier & Carlo Prato & Razvan Vlaicu, 2016. "A bargaining model of endogenous procedures," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(4), pages 985-1012, December.
    22. B. Douglas Bernheim & Antonio Rangel & Luis Rayo, 2006. "The Power of the Last Word in Legislative Policy Making," Econometrica, Econometric Society, vol. 74(5), pages 1161-1190, September.
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    1. repec:nad:wpaper:20220080 is not listed on IDEAS
    2. Kim, Duk Gyoo, 2023. "“One Bite at the apple”: Legislative bargaining without replacement," Journal of Economic Psychology, Elsevier, vol. 95(C).
    3. Baranski, Andrzej & Haas, Nicholas, 2023. "The timing of communication and retaliation in bargaining: An experimental study," Journal of Economic Psychology, Elsevier, vol. 96(C).
    4. Bershadskyy, Dmitri & Sachs, Florian E. & Weimann, Joachim, 2023. "Collective bargaining in a shrinking group game: The role of information and communication," Journal of Economic Behavior & Organization, Elsevier, vol. 209(C), pages 391-410.

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    More about this item

    Keywords

    Legislative bargaining; Recognition process; Random sampling without replacement;
    All these keywords.

    JEL classification:

    • 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

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