Nash demand game and the Kalai-Smorodinsky solution
AbstractWe introduce two new variations on the Nash demand game. In one, as in all past variants of Nash demand games, the Nash bargaining solution is the equilibrium outcome. The other demand game allows for probabilistic continuation in cases of infeasible joint demands. Specifically, with probability (1-p) the game terminates and the players receive their disagreement payoffs; but with probability p the game continues to a second stage in which one of the two incompatible demands is randomly selected and implemented. Surprisingly, the Kalai-Smorodinsky solution is always the outcome of the most robust equilibrium of this game. Moreover, ranking other solution concepts is impossible.
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Bibliographic InfoArticle provided by Elsevier in its journal Games and Economic Behavior.
Volume (Year): 71 (2011)
Issue (Month): 1 (January)
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Web page: http://www.elsevier.com/locate/inca/622836
Bargaining Nash demand game Nash solution Exogenous breakdown probability Kalai-Smorodinsky solution;
Other versions of this item:
- Nejat Anbarci & John H. Boyd III, 2008. "Nash Demand Game and the Kalai-Smorodinsky Solution," Economics Series 2008_11, Deakin University, Faculty of Business and Law, School of Accounting, Economics and Finance.
- Nejat Anbarci & John Boyd, 2008. "Nash Demand Game and the Kalai-Smorodinsky Solution," Working Papers 0809, Florida International University, Department of Economics.
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Bigelow, John Payne & Anbarci, Nejat, 1993. "Non-dictatorial, Pareto-monotonic, cooperative bargaining : An impossibility theorem," European Journal of Political Economy, Elsevier, vol. 9(4), pages 551-558, November.
- Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
- Anbarci, Nejat, 1993. "Noncooperative Foundations of the Area Monotonic Solutions," The Quarterly Journal of Economics, MIT Press, vol. 108(1), pages 245-58, February.
- Anbarci, Nejat & Bigelow, John P., 1994. "The area monotonic solution to the cooperative bargaining problem," Mathematical Social Sciences, Elsevier, vol. 28(2), pages 133-142, October.
- Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-18, May.
- Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
- Eiichi Miyagawa, 2002.
"Subgame-perfect implementation of bargaining solutions,"
0102-16, Columbia University, Department of Economics.
- Miyagawa, Eiichi, 2002. "Subgame-perfect implementation of bargaining solutions," Games and Economic Behavior, Elsevier, vol. 41(2), pages 292-308, November.
- Chun, Youngsub, 1988. "The equal-loss principle for bargaining problems," Economics Letters, Elsevier, vol. 26(2), pages 103-106.
- Nejat Anbarci, 1995. "Reference Functions and Balanced Concessions in Bargaining," Canadian Journal of Economics, Canadian Economics Association, vol. 28(3), pages 675-82, August.
- Yusuke Samejima, 2005. "A Note on Implementation of Bargaining Solutions," Theory and Decision, Springer, vol. 59(3), pages 175-191, November.
- Kalai, Ehud, 1977.
"Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons,"
Econometric Society, vol. 45(7), pages 1623-30, October.
- Ehud Kalai, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Discussion Papers 179, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Rubinstein, Ariel & Safra, Zvi & Thomson, William, 1992. "On the Interpretation of the Nash Bargaining Solution and Its Extension to Non-expected Utility Preferences," Econometrica, Econometric Society, vol. 60(5), pages 1171-86, September.
- Howard, J. V., 1992. "A social choice rule and its implementation in perfect equilibrium," Journal of Economic Theory, Elsevier, vol. 56(1), pages 142-159, February.
- Nejat Anbarci & Ching-jen Sun, 2012.
"Robustness of Intermediate Agreements and Bargaining Solutions,"
2012_7, Deakin University, Faculty of Business and Law, School of Accounting, Economics and Finance.
- Anbarci, Nejat & Sun, Ching-jen, 2013. "Robustness of intermediate agreements and bargaining solutions," Games and Economic Behavior, Elsevier, vol. 77(1), pages 367-376.
- Nejat Anbarci & Ching-jen Sun, 2009. "Robustness of Intermediate Agreements and Bargaining Solutions," Economics Series 2009_14, Deakin University, Faculty of Business and Law, School of Accounting, Economics and Finance.
- Anbarci, Nejat & Feltovich, Nick, 2012. "Bargaining with random implementation: An experimental study," Games and Economic Behavior, Elsevier, vol. 76(2), pages 495-514.
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