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We study the problem of characterizing the set of games that are consistentwith observed equilibrium play. Our contribution is to develop and analyze anew methodology based on convex optimization to address this problem for manyclasses of games and observation models of interest. Our approach provides asharp, computationally efficient characterization of the extent to which aparticular set of observations constrains the space of games that could havegenerated them. This allows us to solve a number of variants of this problem aswell as to quantify the power of games from particular classes (e.g., zero-sum,potential, linearly parameterized) to explain player behavior. We illustrateour approach with numerical simulations.

Efficiently characterizing games consistent with perturbed equilibrium observations