Kantian equilibria of a class of Nash bargaining games |
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Authors: | Atakan Dizarlar Emin Karagözoğlu |
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Affiliation: | 1. Department of Economics, Bilkent University, Ankara, Bilkent, Turkey Most of the works reported in this paper were conducted when Atakan Dizarlar was a graduate student at Bilkent University. This author is currently affiliated with the Erasmus School of Philosophy, Erasmus University Rotterdam, Rotterdam, Netherlands.;2. Department of Economics, Bilkent University, Ankara, Bilkent, Turkey |
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Abstract: | We study Kantian equilibria of an -player bargaining game, which is a modified version of the well-known divide-the-dollar game. We first show that the Kantian equilibrium exists under fairly minimal assumptions. Second, if the bankruptcy rule used satisfies equal treatment of equals, and is almost nowhere proportional, then only equal division can prevail in any Kantian equilibrium. On the other hand, we show that an “anything goes” type result emerges only under the proportional rule. Finally, using hybrid bankruptcy rules that we construct in a novel fashion, we can characterize the whole equilibrium set. Our results highlight the interactions between institutions (axiomatic properties of division rules) and agents' equilibrium behavior. |
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