Double Implementation in Nash and Undominated Nash Equilibria in Social Choice Environments

Yoshikatsu Tatamitani

Economic Theory, 1993, vol. 3, issue 1, 109-17

Abstract: Jackson (1989) and Yamato (1990) constructed game forms which implement social choice correspondences in Nash and undominated Nash equilibria simultaneously in exchange economies. In this paper, I deal with social choice environments and construct a game form which implements social choice correspondences satisfying monotonicity, no veto power and having at least three agents in Nash and undominated Nash equilibria under the existence of an alternative called a "holocaust." The game form constructed in this paper includes an "integer game" but satisfies the boundedness condition introduced by Jackson.

Date: 1993
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