Multidimensional Reasoning in Games: Framework, Equilibrium, and Applications

摘要

We develop a framework for analyzing multidimensional reasoning in strategic interactions, which is motivated by two experimental findings: (i) in games with a large and complex strategy space, players tend to think in terms of strategy characteristics rather than the strategies themselves; (ii) in their strategic deliberation, players consider one characteristic at a time. A multidimensional equilibrium is a vector of characteristics representing a stable mode of behavior: a player does not wish to modify any one characteristic. The concept is applied to several economic interactions, where a vector of characteristics, rather than a distribution of strategies, is identified as stable.