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

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  • Tatamitani, Yoshikatsu

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.

Suggested Citation

  • Tatamitani, Yoshikatsu, 1993. "Double Implementation in Nash and Undominated Nash Equilibria in Social Choice Environments," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(1), pages 109-117, January.
    • Handle: RePEc:spr:joecth:v:3:y:1993:i:1:p:109-17
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    Cited by:

    1. Yamato, Takehiko, 1999. "Nash implementation and double implementation: equivalence theorems1," Journal of Mathematical Economics, Elsevier, vol. 31(2), pages 215-238, March.
    2. Hagiwara, Makoto, 2018. "A simple mechanism for double implementation with semi-socially-responsible agents," Economics Letters, Elsevier, vol. 171(C), pages 51-53.

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