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Non-cooperative support for the asymmetric Nash bargaining solution

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  • Britz, Volker
  • Herings, P. Jean-Jacques
  • Predtetchinski, Arkadi

Abstract

We study a model of non-cooperative multilateral unanimity bargaining on a full-dimensional payoff set. The probability distribution with which the proposing player is selected in each bargaining round follows an irreducible Markov process. If a proposal is rejected, negotiations break down with an exogenous probability and the next round starts with the complementary probability. As the risk of exogenous breakdown vanishes, stationary subgame perfect equilibrium payoffs converge to the weighted Nash bargaining solution with the stationary distribution of the Markov process as the weight vector.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 145 (2010)
Issue (Month): 5 (September)
Pages: 1951-1967

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Handle: RePEc:eee:jetheo:v:145:y:2010:i:5:p:1951-1967

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Web page: http://www.elsevier.com/locate/inca/622869

Related research

Keywords: Nash bargaining solution Subgame perfect equilibrium Stationary strategies Markov process;

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References

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  1. Herings, P. Jean-Jacques & Predtetchinski, Arkadi, 2007. "One-dimensional Bargaining with Markov Recognition Probabilities," Research Memorandum 044, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  2. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
  3. Klaus Kultti & Hannu Vartiainen, 2010. "Multilateral non-cooperative bargaining in a general utility space," International Journal of Game Theory, Springer, vol. 39(4), pages 677-689, October.
  4. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
  5. Merlo, Antonio & Wilson, Charles A, 1995. "A Stochastic Model of Sequential Bargaining with Complete Information," Econometrica, Econometric Society, vol. 63(2), pages 371-99, March.
  6. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, January.
  7. Kyle Hyndman & Debraj Ray, 2007. "Coalition Formation with Binding Agreements," Review of Economic Studies, Oxford University Press, vol. 74(4), pages 1125-1147.
  8. Hart, Sergiu & Mas-Colell, Andreu, 1996. "Bargaining and Value," Econometrica, Econometric Society, vol. 64(2), pages 357-80, March.
  9. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
  10. Carlsson, Hans, 1991. "A Bargaining Model Where Parties Make Errors," Econometrica, Econometric Society, vol. 59(5), pages 1487-96, September.
  11. Krishna, Vijay & Serrano, Roberto, 1996. "Multilateral Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 63(1), pages 61-80, January.
  12. Lensberg, Terje, 1988. "Stability and the Nash solution," Journal of Economic Theory, Elsevier, vol. 45(2), pages 330-341, August.
  13. Kalandrakis, Tasos, 2004. "Equilibria in sequential bargaining games as solutions to systems of equations," Economics Letters, Elsevier, vol. 84(3), pages 407-411, September.
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Cited by:
  1. repec:hal:journl:halshs-00611712 is not listed on IDEAS
  2. Anbarci, Nejat & Sun, Ching-jen, 2013. "Asymmetric Nash bargaining solutions: A simple Nash program," Economics Letters, Elsevier, vol. 120(2), pages 211-214.
  3. Masanori Mitsutsune & Takanori Adachi, 2011. "Estimating Noncooperative and Cooperative Models of Bargaining: An Empirical Comparison," KIER Working Papers 799, Kyoto University, Institute of Economic Research.
  4. Gaël Giraud & Cécile Renouard, 2011. "In search of an alternative to shareholder value maximization," Documents de travail du Centre d'Economie de la Sorbonne 11038, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  5. Predtetchinski, Arkadi, 2011. "One-dimensional bargaining," Games and Economic Behavior, Elsevier, vol. 72(2), pages 526-543, June.
  6. Volker Britz & P. Herings & Arkadi Predtetchinski, 2013. "A bargaining theory of the firm," Economic Theory, Springer, vol. 54(1), pages 45-75, September.
  7. Herings, P. Jean-Jacques & Predtetchinski, Arkadi, 2011. "On the asymptotic uniqueness of bargaining equilibria," Economics Letters, Elsevier, vol. 111(3), pages 243-246, June.
  8. Giraud, Gaël & Renouard, Cécile, 2011. "In search of an alternative to shareholder value maximization," ESSEC Working Papers WP1108, ESSEC Research Center, ESSEC Business School.
  9. Thorsten Upmann & Julia M�ller, 2013. "The Structure of Firm-Specific Labour Unions," Tinbergen Institute Discussion Papers 13-080/I, Tinbergen Institute.
  10. BRITZ, Volker & HERINGS, Jean-Jacques & PREDTETCHINSKI, Arkadi, 2013. "On the Convergence to the Nash bargaining solution for action-dependent bargaining protocols," CORE Discussion Papers 2013044, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  11. Gaël Giraud & Cécile Renouard, 2011. "In search of an alternative to shareholder value maximization," Post-Print hal-00609153, HAL.
  12. Gaël Giraud & Cécile Renouard, 2011. "In search of an alternative to shareholder value maximization," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00611712, HAL.

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