Saglam, Ismail (2012): Endogenously Proportional Bargaining Solutions.

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Abstract
This paper introduces a class of endogenously proportional bargaining solutions. These solutions are independent of the class of Directional solutions, which Chun and Thomson (1990a) proposed to generalize (exogenously) proportional solutions of Kalai (1977). Endogenously proportional solutions relative to individual i are characterized by weak Pareto optimality and continuity together with two new axioms that depend on the pairwise total payoff asymmetry of the bargaining problem with respect to each pair involving individual i. Each of these solutions satisfies the basic symmetry axiom and also a stronger axiom called total payoff symmetry.
Item Type:  MPRA Paper 

Original Title:  Endogenously Proportional Bargaining Solutions 
English Title:  Endogenously Proportional Bargaining Solutions 
Language:  English 
Keywords:  Cooperative bargaining; proportional solutions; symmetry 
Subjects:  C  Mathematical and Quantitative Methods > C7  Game Theory and Bargaining Theory > C78  Bargaining Theory ; Matching Theory C  Mathematical and Quantitative Methods > C7  Game Theory and Bargaining Theory > C71  Cooperative Games 
Item ID:  42386 
Depositing User:  Ismail Saglam 
Date Deposited:  05 Nov 2012 05:14 
Last Modified:  01 Jul 2017 08:13 
References:  Chun, Y., Thomson, W.,(1990a). Bargaining with uncertain disagreement points. Econometrica. 58, 951959. Chun, Y., Thomson, W.,(1990b). Egalitarian solutions and uncertain disagreement points. Economics Letters. 33, 2933. Hougaard, J.L., Tvede, M., (2010). nPerson nonconvex bargaining: Efficient proportional solution. Discussion Papers 1021, University of Copenhagen. Department of Economics. Kalai, E., (1977). Proportional solutions to bargaining situations: Interpersonal utility comparisons. Econometrica. 45, 16231630. Nash, J. F. (1950). The bargaining problem. Econometrica. 28, 155162. Peters, H.J.M., (1986). Simultaneity of issues and additivity in bargaining. Econometrica. 54, 153169. Rawls, J., (1971). A Theory of Justice. Harvard University Press, Cambridge, Massachusetts. Roth, A.E., (1979). Proportional solutions to the bargaining problem. Econometrica. 47, 775778. 
URI:  https://mpra.ub.unimuenchen.de/id/eprint/42386 