Abstract
Necessary conditions are established for a point contained in the interior or boundary of a convex feasible subset of Euclidean space to be quasi-undominated in an anonymous simple game. Most of the conditions are behaviorally intuitive and imply pariwise symmetries among utility gradients.
This is a preview of subscription content, access via your institution.
References
Fenchel, W.: Convex Cones, Sets and Functions. Lecture Notes. Princeton 1953.
Ferejohn, J.A., andD.M. Grether: On a Class of Rational Social Decision Procedures. Journal of Economic TheoryIX, 1974, 471–482.
Kats, A., andS. Nitzan: Global and Local Equilibrium in Majority Voting. Public Choice25. 1976. 105–106.
Matthews, S.A.: Pairwise Symmetry Conditions for Voting Equilibria. California Institute of Technology, Social Science W.P. No. 209, May 1978a.
-: Undominated Directions in Simple Dynamic Games. California Institute of Technology, Social Science W.P. No. 169, rev. June 1978b.
McKelvey, R.D., andR.E. Wendell: Voting Equilibria in Multidimensional Choice Spaces. Mathematics of Operations Research1, 1976, 144–158.
Plott, C.R.: A Notion of Equilibrium and its Possibility Under Majority Rule. American Economic Review, 1967, 788–806.
Rockafellar, R.T.: Convex Analysis. Princeton 1970.
Schofield, N.: Generic Instability of Voting Games. University of Texas, unpublished paper, 1978.
Sloss, J.: Stable Outcomes in Majority Rule Voting Games. Public Choice, Summer 1973, 19–48.
Slutsky, S.: Equilibrium underα-Majority Voting. Econometrica47, 1979, 1113–1127.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Matthews, S.A. Pairwise symmetry conditions for voting equilibria. Int J Game Theory 9, 141–156 (1980). https://doi.org/10.1007/BF01781369
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01781369
Keywords
- Economic Theory
- Euclidean Space
- Game Theory
- Symmetry Condition
- Simple Game