Abstract
A central question in group decision theory is the existence of a simple mechanism that necessarily leads to Pareto optimal outcomes despite noncooperative behavior of the participants. It is shown that the multistage unanimity game is such a mechanism if we assume that the non-cooperative players end at an equilibria which is symmetric and persistent.
Similar content being viewed by others
References
Aumann, R.J.: Survey of Repeated Games. In: Essays in Game Theory and Mathematical Economics. Mannheim-Wien-Zrüch 1981.
Harsanyi, J.C.: Solutions for Some Bargaining Games Under the Harsanyi-Selten Solution Theory, Part II: Analysis of Specific Bargaining Games. CP-432, Center for Research in Management Sciences, University of California, Berkeley 1981.
Kalai, E., andD. Samet: Persistent Equilibria in Strategic Games. Int. Journal of Game Theory13, 1984.
Kreps, D.M., andR. Wilson: Sequential Equilibria. Graduate School of Business, Stanford University, Stanford, CA, 1980.
Myerson, R.B.: Refinements of the Nash Equilibrium Concept. International Journal of Game Theory7, 1978, 73–80.
Selten, R.: Reexamination of the Perfectness Concept for Equilibrium Points in Extensive Games. International Journal of Game Theory4, 1975, 25–55.
Sen, A.K.: Collective Choice and Social Welfare. San Francisco 1970.
Author information
Authors and Affiliations
Additional information
This research was partly supported by a grant from the National Science Foundation (Grant No. SES-8208880).
Rights and permissions
About this article
Cite this article
Kalai, E., Samet, D. Unanimity games and Pareto optimality. Int J Game Theory 14, 41–50 (1985). https://doi.org/10.1007/BF01770226
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01770226