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Coalitional bargaining games with random proposers: Theory and application

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  • Okada, Akira

Abstract

We consider a non-cooperative coalitional bargaining game with random proposers in a general situation for which players differ in recognition probability and time preference. We characterize an efficient equilibrium as the generalized Nash bargaining solution that belongs to the core. The model is applied to wage bargaining between an employer and multiple workers. Although involuntary unemployment may occur in equilibrium, full employment emerges as players become sufficiently patient.

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  • Okada, Akira, 2011. "Coalitional bargaining games with random proposers: Theory and application," Games and Economic Behavior, Elsevier, vol. 73(1), pages 227-235, September.
  • Handle: RePEc:eee:gamebe:v:73:y:2011:i:1:p:227-235
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Herings P. Jean-Jacques & Britz Volker & Predtetchinski Arkadi, 2012. "On the Convergence to Nash Bargaining Solution for Endogenous Bargaining Protocols," Research Memorandum 030, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    2. Sawa, Ryoji, 2014. "Stochastic stability in coalitional bargaining problems," MPRA Paper 58037, University Library of Munich, Germany, revised 11 May 2014.
    3. Masanori Mitsutsune & Takanori Adachi, 2014. "Estimating noncooperative and cooperative models of bargaining: an empirical comparison," Empirical Economics, Springer, vol. 47(2), pages 669-693, September.
    4. Eraslan, Hülya & McLennan, Andrew, 2013. "Uniqueness of stationary equilibrium payoffs in coalitional bargaining," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2195-2222.
    5. Ricardo Nieva, 2015. "The Coalitional Nash Bargaining Solution with Simultaneous Payoff Demands," Working Papers 2015.67, Fondazione Eni Enrico Mattei.
    6. Arnold Polanski & Emiliya Lazarova, 2015. "Dynamic multilateral markets," International Journal of Game Theory, Springer;Game Theory Society, pages 815-833.
    7. Akira Okada, 2015. "Cooperation and Institution in Games," The Japanese Economic Review, Japanese Economic Association, vol. 66(1), pages 1-32, March.
    8. Siddhartha Bandyopadhyay & Kalyan Chatterjee & Tomas Sjöström, 2013. "Pre-electoral Coalitions and Post-election Bargaining," World Scientific Book Chapters,in: Bargaining in the Shadow of the Market Selected Papers on Bilateral and Multilateral Bargaining, chapter 7, pages 129-181 World Scientific Publishing Co. Pte. Ltd..
    9. Britz, Volker & Herings, P. Jean-Jacques & Predtetchinski, Arkadi, 2014. "On the convergence to the Nash bargaining solution for action-dependent bargaining protocols," Games and Economic Behavior, Elsevier, vol. 86(C), pages 178-183.
    10. Breitmoser, Yves & Tan, Jonathan H.W., 2014. "Reference Dependent Altruism," MPRA Paper 52774, University Library of Munich, Germany.
    11. Okada, Akira, 2012. "The Stationary Equilibrium of Three-Person Cooperative Games: A Classification," Discussion Papers 2012-06, Graduate School of Economics, Hitotsubashi University.
    12. Akira Okada, 2018. "Non-cooperative Bargaining for Side Payments Contract," KIER Working Papers 983, Kyoto University, Institute of Economic Research.
    13. Britz, Volker & Herings, P. Jean-Jacques & Predtetchinski, Arkadi, 2015. "Delay, multiplicity, and non-existence of equilibrium in unanimity bargaining games," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 192-202.
    14. Elliott, M. & Nava, F., 2017. "Decentralized Bargaining in Matching Markets: Efficient Stationary Equilibria and the Core," Cambridge Working Papers in Economics 1742, Faculty of Economics, University of Cambridge.
    15. Harold Houba & Gerard Laan & Yuyu Zeng, 2015. "International Environmental Agreements for River Sharing Problems," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 62(4), pages 855-872, December.
    16. Akira Okada, 2014. "The stationary equilibrium of three-person coalitional bargaining games with random proposers: a classification," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(4), pages 953-973, November.
    17. 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.
    18. Ray, Debraj & Vohra, Rajiv, 2015. "Coalition Formation," Handbook of Game Theory with Economic Applications, Elsevier.

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