Reaching Consensus Through Simultaneous Bargaining
We propose a two-player bargaining game where each player simultaneously proposes a set of lotteries on a finite set of alternatives. If the two sets have elements in common the outcome is selected by the uniform probability measure over the intersection. If otherwise the sets do not intersect the outcome is selected by the uniform probability measure over the union. We show that this game always has an equilibrium in sincere strategies (i.e. such that players truthfully reveal their preferences). We also prove that every equilibrium is individually rational and consensual. If furthermore players are partially honest then every equilibrium is efficient and sincere. We use this result to fully characterize the set of equilibria of the game under partial honesty.
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- Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
- Matsushima, Hitoshi, 2008.
"Role of honesty in full implementation,"
Journal of Economic Theory,
Elsevier, vol. 139(1), pages 353-359, March.
- Hitoshi Matsushima, 2006. "Role of Honesty in Full Implementation," CIRJE F-Series CIRJE-F-405, CIRJE, Faculty of Economics, University of Tokyo.
- Hitoshi Matsushima, 2007. "Role of Honesty in Full Implementation," CIRJE F-Series CIRJE-F-518, CIRJE, Faculty of Economics, University of Tokyo.
- Matsushima, Hitoshi, 2008. "Behavioral aspects of implementation theory," Economics Letters, Elsevier, vol. 100(1), pages 161-164, July.
- Hitoshi Matsushima, 2007. "Behavioral Aspects of Implementation Theory," CIRJE F-Series CIRJE-F-523, CIRJE, Faculty of Economics, University of Tokyo.
- Bhaskar Dutta & Arunava Sen, 1991. "A Necessary and Sufficient Condition for Two-Person Nash Implementation," Review of Economic Studies, Oxford University Press, vol. 58(1), pages 121-128. Full references (including those not matched with items on IDEAS)
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