Performance-Based Assessment of Strategic Reasoning: A Recombinant Estimator Approach
Abstract. We propose a performance-based measure of strategic sophistication in two-player games. Rather than assigning a decision rule or depth of reasoning to observed choices, the measure evaluates how well players respond to the empirical distribution of opponents’ strategies. Using recombinant estimation, we calculate the expected payoff loss from a player’s chosen strategy relative to the optimal response. This approach supports comparisons across games and offers a practical tool for studying strategic decision-making and game design. We apply the measure to experimental data from more than 60 studies involving approximately 11,000 unique participants. We validate it through its association with established measures of cognitive performance and its portability across games.