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arXiv · 1511.02398

On the relationship between imitative logit dynamics in the population game theory and mirror descent method in the online optimization using the example of the Shortest Path Problem

Alexander Gasnikov·Anastasia Lagunovskaya·Larisa Morozova
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Abstract

In this paper we describe how imitative logit dynamic (rather popular in population games theory) can be interpreted in terms of mirror descent method (well known in convex optimization). We demonstrate the connection of this two type dynamics on the Shortest Path Problem.

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Alexander Gasnikov, Anastasia Lagunovskaya, Larisa Morozova. 2016-05-01. On the relationship between imitative logit dynamics in the population game theory and mirror descent method in the online optimization using the example of the Shortest Path Problem. https://arxiv.org/abs/1511.02398

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