IDEAS home Printed from https://ideas.repec.org/p/kyo/wpaper/983.html
   My bibliography  Save this paper

Non-cooperative Bargaining for Side Payments Contract

Author

Listed:
  • Akira Okada

    (Kyoto University)

Abstract

We present a non-cooperative sequential bargaining game for side payments contracting. Players voluntarily participate in negotiations. If any player does not participate, then renegotiation will take place in the next round, given an on-going contract. We show that if the stop- ping probability of negotiations is sufficiently small, then there exists an efficient Markov perfect equilibrium where all players immediately par- ticipate in negotiations and agree to the Nash bargaining solution. The efficiency result is strengthened by the asymptotically efficient one that in every Markov perfect equilibrium, all players participate in negotia- tions through a process of renegotiations in the long run with probability one. Finally, we illustrate international negotiations for climate change as an application of the result.

Suggested Citation

  • Akira Okada, 2018. "Non-cooperative Bargaining for Side Payments Contract," KIER Working Papers 983, Kyoto University, Institute of Economic Research.
  • Handle: RePEc:kyo:wpaper:983
    as

    Download full text from publisher

    File URL: http://www.kier.kyoto-u.ac.jp/DP/DP983.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Okada, Akira, 1996. "A Noncooperative Coalitional Bargaining Game with Random Proposers," Games and Economic Behavior, Elsevier, vol. 16(1), pages 97-108, September.
    2. Palfrey, Thomas R. & Rosenthal, Howard, 1984. "Participation and the provision of discrete public goods: a strategic analysis," Journal of Public Economics, Elsevier, vol. 24(2), pages 171-193, July.
    3. Maruta, Toshimasa & Okada, Akira, 2012. "Dynamic group formation in the repeated prisonerʼs dilemma," Games and Economic Behavior, Elsevier, vol. 74(1), pages 269-284.
    4. Ray, Debraj, 2007. "A Game-Theoretic Perspective on Coalition Formation," OUP Catalogue, Oxford University Press, number 9780199207954.
    5. Kalyan Chatterjee & Bhaskar Dutia & Debraj Ray & Kunal Sengupta, 2013. "A Noncooperative Theory of Coalitional Bargaining," World Scientific Book Chapters, in: Bargaining in the Shadow of the Market Selected Papers on Bilateral and Multilateral Bargaining, chapter 5, pages 97-111, World Scientific Publishing Co. Pte. Ltd..
    6. Matthew O. Jackson & Simon Wilkie, 2005. "Endogenous Games and Mechanisms: Side Payments Among Players," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(2), pages 543-566.
    7. Okada, Akira, 2011. "Coalitional bargaining games with random proposers: Theory and application," Games and Economic Behavior, Elsevier, vol. 73(1), pages 227-235, September.
    8. Farrell, Joseph & Maskin, Eric, 1989. "Renegotiation in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 327-360, December.
    9. Anderlini, Luca & Felli, Leonardo, 2001. "Costly Bargaining and Renegotiation," Econometrica, Econometric Society, vol. 69(2), pages 377-411, March.
    10. Kyle Hyndman & Debraj Ray, 2007. "Coalition Formation with Binding Agreements," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(4), pages 1125-1147.
    11. Bard Harstad, 2012. "Climate Contracts: A Game of Emissions, Investments, Negotiations, and Renegotiations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(4), pages 1527-1557.
    12. Grossman, Sanford J & Hart, Oliver D, 1986. "The Costs and Benefits of Ownership: A Theory of Vertical and Lateral Integration," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 691-719, August.
    13. Bloch, Francis & Gomes, Armando, 2006. "Contracting with externalities and outside options," Journal of Economic Theory, Elsevier, vol. 127(1), pages 172-201, March.
    14. Dixit, Avinash & Olson, Mancur, 2000. "Does voluntary participation undermine the Coase Theorem?," Journal of Public Economics, Elsevier, vol. 76(3), pages 309-335, June.
    15. Daniel J. Seidmann & Eyal Winter, 1998. "A Theory of Gradual Coalition Formation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(4), pages 793-815.
    16. Douglas Bernheim, B. & Ray, Debraj, 1989. "Collective dynamic consistency in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 295-326, December.
    17. Ellingsen, Tore & Paltseva, Elena, 2012. "The private provision of excludable public goods: An inefficiency result," Journal of Public Economics, Elsevier, vol. 96(9-10), pages 658-669.
    18. Tore Ellingsen & Elena Paltseva, 2016. "Confining the Coase Theorem: Contracting, Ownership, and Free-Riding," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 83(2), pages 547-586.
    19. Reinhard Selten, 1973. "A Simple Model of Imperfect Competition, where 4 are Few and 6 are Many," Center for Mathematical Economics Working Papers 008, Center for Mathematical Economics, Bielefeld University.
    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. Akira Okada, 2015. "Cooperation and Institution in Games," The Japanese Economic Review, Japanese Economic Association, vol. 66(1), pages 1-32, March.
    2. Ellingsen, Tore & Paltseva, Elena, 2012. "The private provision of excludable public goods: An inefficiency result," Journal of Public Economics, Elsevier, vol. 96(9-10), pages 658-669.
    3. Akira Okada, 2023. "Dynamic bargaining with voluntary participation and externalities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(2), pages 427-452, February.
    4. Ray, Debraj & Vohra, Rajiv, 2015. "Coalition Formation," Handbook of Game Theory with Economic Applications,, Elsevier.
    5. Harstad, Bård, 2016. "The market for conservation and other hostages," Journal of Economic Theory, Elsevier, vol. 166(C), pages 124-151.
    6. Maria Montero, 2023. "Coalition Formation in Games with Externalities," Dynamic Games and Applications, Springer, vol. 13(2), pages 525-548, June.
    7. Steven G. Medema, 2020. "The Coase Theorem at Sixty," Journal of Economic Literature, American Economic Association, vol. 58(4), pages 1045-1128, December.
    8. Maruta, Toshimasa & Okada, Akira, 2012. "Dynamic group formation in the repeated prisonerʼs dilemma," Games and Economic Behavior, Elsevier, vol. 74(1), pages 269-284.
    9. Matsushima, Noriaki & Shinohara, Ryusuke, 2019. "Pre-negotiation commitment and internalization in public good provision through bilateral negotiations," Journal of Public Economics, Elsevier, vol. 175(C), pages 84-93.
    10. Joosung Lee, 2013. "Bargaining and Buyout," 2013 Papers ple701, Job Market Papers.
    11. Okada, Akira & 岡田, 章, 2012. "The Stationary Equilibrium of Three-Person Cooperative Games: A Classification," Discussion Papers 2012-06, Graduate School of Economics, Hitotsubashi University.
    12. Armando Gomes & Wilfredo Maldonado, 2020. "Mergers and acquisitions with conditional and unconditional offers," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(3), pages 773-800, September.
    13. Anderlini, Luca & Felli, Leonardo, 2001. "Costly Bargaining and Renegotiation," Econometrica, Econometric Society, vol. 69(2), pages 377-411, March.
    14. Sareh Vosooghi & Maria Arvaniti & Frederick Van Der Ploeg, 2022. "Self-enforcing climate coalitions for farsighted countries: integrated analysis of heterogeneous countries," Economics Series Working Papers 971, University of Oxford, Department of Economics.
    15. Marco Battaglini & Bård Harstad, 2016. "Participation and Duration of Environmental Agreements," Journal of Political Economy, University of Chicago Press, vol. 124(1), pages 160-204.
    16. Roy Chowdhury, Prabal & Sengupta, Kunal, 2012. "Transparency, complementarity and holdout," Games and Economic Behavior, Elsevier, vol. 75(2), pages 598-612.
    17. Francis Bloch & Effrosyni Diamantoudi, 2011. "Noncooperative formation of coalitions in hedonic games," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(2), pages 263-280, May.
    18. Vartiainen, Hannu, 2011. "Dynamic coalitional equilibrium," Journal of Economic Theory, Elsevier, vol. 146(2), pages 672-698, March.
    19. Licun Xue & Lingling Zhang, 2012. "Bidding and sequential coalition formation with externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(1), pages 49-73, February.
    20. Tomohiko Kawamori, 2013. "Rejecter-proposer legislative bargaining with heterogeneous time and risk preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(1), pages 27-40, January.

    More about this item

    Keywords

    Coase theorem; contract; efficiency; externality; Nash bar- gaining solution; non-cooperative bargaining; side payments;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:kyo:wpaper:983. 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: Makoto Watanabe (email available below). General contact details of provider: https://edirc.repec.org/data/iekyojp.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.