Selection problems in Large Deviations in Games under the logit choice protocol

preprint2020arXivOpen access

Abstract

We study large deviations in coordination games under the logit choice protocol. A major open question that [10,11] posed is whether large deviations properties under the small noise double limit and the large population double limit are identical or not. We rephrase this open question in the PDE language as some selection problems, and we provide some definitive answers to these problems.

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