Full-Truthful Implementation in Nash Equilibria

Hideki Mizukami and Takuma Wakayama

ISER Discussion Paper from Institute of Social and Economic Research, The University of Osaka

Abstract: We consider full-truthful Nash implementation, which requires that truth telling by each agent should be a Nash equilibrium of a direct revelation mechanism, and that the set of Nash equilibrium outcomes of the mechanism should coincide with the f -optimal outcome. We show that restricted monotonicity together with an auxiliary condition called boundedness is both necessary and sufficient for full-truthful Nash implementation. We also prove that full-truthful Nash implementation is equivalent to secure implementation (Saijo et al. (2005)). This gives us an alternative characterization of securely implementable social choice functions.

Date: 2006-09
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Persistent link: https://EconPapers.repec.org/RePEc:dpr:wpaper:0672

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