Theoretical Economics, Volume 12, Number 1 ( 2017)

Theoretical Economics 12 (2017), 249–285

Repeated Nash implementation

Claudio Mezzetti, Ludovic Renou


We study the repeated implementation of social choice functions in environments with complete information and changing preferences. We define dynamic monotonicity, a natural but non-trivial dynamic extension of Maskin monotonicity, and show that it is necessary and almost sufficient for repeated Nash implementation, regardless of whether the horizon is finite or infinite and whether the discount factor is “large” or “small.”

Keywords: Dynamic monotonicity, Nash implementation, Maskin monotonicity, repeated implementation, repeated games

JEL classification: C72, D71

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