Abstract
We study games with strategic complementarities, arbitrary numbers of players and actions, and slightly noisy payoff signals. We prove limit uniqueness: as the signal noise vanishes, the game has a unique strategy profile that survives iterative dominance. This generalizes a result of Carlsson and van Damme (Econometrica 61 (1993) 989-1018) for two-player, two-action games. The surviving profile, however, may depend on fine details of the structure of the noise. We provide sufficient conditions on payoffs for there to be noise-independent selection.
Original language | English (US) |
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Pages (from-to) | 1-44 |
Number of pages | 44 |
Journal | Journal of Economic Theory |
Volume | 108 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1 2003 |
All Science Journal Classification (ASJC) codes
- Economics and Econometrics
Keywords
- Equilibrium selection
- Global games
- Strategic complementarities
- Supermodular games