A Generalization of the Egalitarian and the Kalai-Smorodinsky Bargaining Solutions
نویسندگان
چکیده
We characterize the class of weakly efficient n-person bargaining solutions that solely depend on the ratios of the players’ ideal payoffs. In the case of at least three players the ratio between the solution payoffs of any two players is a power of the ratio between their ideal payoffs. As special cases this class contains the Egalitarian and the Kalai-Smorodinsky bargaining solutions. For 2-player problems we characterize a larger class of solutions. None of these results assumes a Pareto axiom. In the 2-player case, adding strong Pareto efficiency to a subset of our axioms pins down the Kalai-Smorodinsky solution.
منابع مشابه
Fairness in Bargaining and the Kalai-Smorodinsky Solution
A bargaining solution guarantees minimal equity if each player’s payoff is at least as large as the minimum of the payoffs assigned to him by the equal-gain (i.e., egalitarian) and equal-loss solutions. The KalaiSmorodinsky solution is the unique scale-invariant 2-person solution with this property. There does not exist a scale-invariant n-person solution with this property.
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