Pairwise symmetry conditions for voting equilibria

International Journal of Game Theory - Tập 9 - Trang 141-156 - 1980
S. A. Matthews1
1Department of Economics, Northwestern University, Evanston, USA

Tóm tắt

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.

Tài liệu tham khảo

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 University of Texas, unpublished paper, 1978.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.