Strategies in Stochastic Continuous-Time Games (by Yuichiro Kamada, Neel Rao)


Yuichiro Kamada, Neel Rao


We develop a new set of restrictions on strategy spaces for continuous-time games in stochastic environments. These conditions imply that there exists a unique path of play with probability one given a strategy profile, and also ensure that agents’ behavior is measurable. Various economic examples are provided to illustrate the applicability of the new restrictions. We discuss how our methodology relates to an alternative approach in which certain payoffs are assigned to nonmeasurable behavior.

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