Bargaining with nonanonymous disagreement: Monotonic rules
We analyze bargaining situations where the agents' payoffs from disagreement depend on who among them breaks down the negotiations. We model such problems as a superset of the standard domain of Nash [Nash, J.F., 1950. The bargaining problem. Econometrica 18, 155-162]. On our extended domain, we analyze the implications of two central properties which, on the Nash domain, are known to be incompatible: strong monotonicity [Kalai, E., 1977. Proportional solutions to bargaining situations: Interpersonal utility comparisons. Econometrica 45, 1623-1630] and scale invariance [Nash, J.F., 1950. The bargaining problem. Econometrica 18, 155-162]. We first show that a class of monotone path rules uniquely satisfy strong monotonicity, scale invariance, weak Pareto optimality, and "continuity". We also show that dropping scale invariance from this list characterizes the whole class of monotone path rules. We then introduce a symmetric monotone path rule that we call the Cardinal Egalitarian rule and show that it is weakly Pareto optimal, strongly monotonic, scale invariant, symmetric and that it is the only rule to satisfy these properties on a class of two-agent problems.
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- Kaushik Basu, 1996. "Bargaining with set-valued disagreement," Social Choice and Welfare, Springer, vol. 13(1), pages 61-74, January.
- Volij, Oscar & Dagan, Nir & Winter, Eyal, 2002.
"A Characterization of the Nash Bargaining Solution,"
Staff General Research Papers
5259, Iowa State University, Department of Economics.
- Eyal Winter & Oscar Volij & Nir Dagan, 2002. "A characterization of the Nash bargaining solution," Social Choice and Welfare, Springer, vol. 19(4), pages 811-823.
- Nir Dagan & Oscar Volij & Eyal Winter, 2000. "A Characterization of the Nash Bargaining Solution," Economic theory and game theory 018, Nir Dagan, revised 21 Sep 2000.
- Nir Dagan & Oscar Volij & Eyal Winter, 2001. "A Characterization of the Nash Bargaining Solution," Economic theory and game theory 013, Oscar Volij.
- Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-18, May.
- Chun, Y. & Thomson, W., 1989.
"Bargaining Problems With Claims,"
RCER Working Papers
189, University of Rochester - Center for Economic Research (RCER).
- Corominas-Bosch, Margarida, 2000. "Bargaining with asymmetric threat points," Economics Letters, Elsevier, vol. 69(3), pages 333-339, December.
- Smorodinsky, Rann, 2005. "Nash's bargaining solution when the disagreement point is random," Mathematical Social Sciences, Elsevier, vol. 50(1), pages 3-11, July.
- Shaked, Avner & Sutton, John, 1984. "Involuntary Unemployment as a Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 52(6), pages 1351-64, November.
- van Damme, E.E.C. & Peters, H., 1991. "Characterizing the Nash and Raiffa bargaining solutions by disagreement point axioms," Other publications TiSEM 4bd5eb9e-328a-45a0-aa0a-e, Tilburg University, School of Economics and Management.
- Chun, Youngsub & Thomson, William, 1990. "Bargaining with Uncertain Disagreement Points," Econometrica, Econometric Society, vol. 58(4), pages 951-59, July.
- 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.
- Sunil Gupta & Zvi A. Livne, 1988. "Resolving a Conflict Situation with a Reference Outcome: An Axiomatic Model," Management Science, INFORMS, vol. 34(11), pages 1303-1314, November.
- Thomson, William, 1987. "Monotonicity of bargaining solutions with respect to the disagreement point," Journal of Economic Theory, Elsevier, vol. 42(1), pages 50-58, June.
- Livne, Zvi A., 1988. "The bargaining problem with an uncertain conflict outcome," Mathematical Social Sciences, Elsevier, vol. 15(3), pages 287-302, June.
- Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
- Livne, Zvi, 1986. "The bargaining problem: axioms concerning changes in the conflict point," Economics Letters, Elsevier, vol. 21(2), pages 131-134.
- Chun, Youngsub & Thomson, William, 1990.
"Nash solution and uncertain disagreement points,"
Games and Economic Behavior,
Elsevier, vol. 2(3), pages 213-223, September.
- Thomson, William, 1981. "Nash's Bargaining Solution and Utilitarian Choice Rules," Econometrica, Econometric Society, vol. 49(2), pages 535-38, March.
- JÕzsef SÂkovics & Clara PonsatÎ, 1998. "Rubinstein bargaining with two-sided outside options," Economic Theory, Springer, vol. 11(3), pages 667-672.
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