Template-Type: ReDIF-Paper 1.0 Author-Name: Ratul Lahkar Author-Name-First: Ratul Author-Name-Last: Lahkar Author-Email: ratul.lahkar@asoka.edu.in Author-Workplace-Name: Ashoka University Author-Name: Sayan Mukherjee Author-Name-First: Sayan Author-Name-Last: Mukherjee Author-Email: sayanmukherjee012@gmail.com Author-Workplace-Name: ISI Kolkata Author-Name: Souvik Roy Author-Name-First: Souvik Author-Name-Last: Roy Author-Email: souvik.2004@gmail.com Author-Workplace-Name: ISI, Kolkata Title: A Deterministic Approximation Approach to the Continuum Logit Dynamic with an Application to Supermodular Games Abstract: We consider the logit dynamic in a large population game with a continuum of strategies. The deterministic approximation approach requires us to derive this dynamic as the finite horizon limit of a stochastic process in a game with a finite but large number of strategies and players. We first establish the closeness of this dynamic with a step–wise approximation. We then show that the logit stochastic process is close to the step–wise logit dynamic in a discrete approximation of the original game. Combining the two results, we obtain our deterministic approximation result. We apply the result to large population supermodular games with a continuum of strategies. Over finite but sufficiently long time horizons, the logit stochastic process converges to logit equilibria in a discrete approximation of the supermodular game. By the deterministic approximation approach, so does the logit dynamic in the continuum supermodular game length: 31 Creation-Date: 20220426 Revision-Date: Publication-Status: File-URL: https://dp.ashoka.edu.in/ash/wpaper/paper79_0.pdf File-Format: Application/pdf Number: 79 Handle: RePEc:ash:wpaper:79