We consider the repeated minimum-effort coordination game where each player follows an adaptive strategy in each period and his choice is made via the logit probability distribution. We find that… Click to show full abstract
We consider the repeated minimum-effort coordination game where each player follows an adaptive strategy in each period and his choice is made via the logit probability distribution. We find that there exists a stable probability distribution of the minimum effort levels (called the equilibrium of the game), and the expected value of the minimum effort levels at the equilibrium has the same comparative-statics properties as in the experimental outcomes of Van Huyck et al. (Am Econ Rev 80(1):234–248 1990): it decreases with the effort cost and the number of players. We also find that the expected value at the equilibrium responds differently to the noise parameter, contingent on the effort-cost structure. This provides us with an implication about how we could increase the coordination among the players.
               
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