Elicitation of Strategy Profiles in Large Group Coordination Games

Abstract

The strategy method is an experimental procedure for eliciting a complete strategy of play for all information sets, not only the ones that happen to be reached during the course of a play of a game. We use it to elicit individual strategy profiles for a class of large group, market entry games in which the payoff for a player who enters on a given market capacity value decreases linearly in the difference between the capacity value and the corresponding number of entrants. Our results show that the aggregate frequencies of entry do not differ from previous results obtained under the more common decision method. Under both methods, the number of entrants across a large set of market capacity values is organized remarkably well by the equilibrium solution. In contrast, theindividual profiles do not support mixed equilibrium play; only three of the sixty profiles suggest attempts at randomization or “mixing” between periods. About half of the individual profiles appear to converge, albeit slowly, to cutoff decision policies and more than a quarter of the profiles exhibit a variety of patterns that defy classification.