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arXiv · 1603.01318

Efficiently characterizing games consistent with perturbed equilibrium observations

Juba Ziani·Venkat Chandrasekaran·Katrina Ligett
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Abstract

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

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Juba Ziani, Venkat Chandrasekaran, Katrina Ligett. 2016-03-04. Efficiently characterizing games consistent with perturbed equilibrium observations. https://arxiv.org/abs/1603.01318

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