Extended deterministic mean-field games

In this paper, we consider mean-field games where the interaction of each player with the mean-field takes into account not only the states of the players but also their collective behavior, To do so, we develop a random variable framework that is particularly convenient for these problems. We prove...

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Bibliographic Details
Published in:arXiv.org 2015-06
Main Authors: Gomes, Diogo A, Voskanyan, Vardan K
Format: Article
Language:English
Subjects:
Games
Random variables
Online Access:Get full text
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Summary:In this paper, we consider mean-field games where the interaction of each player with the mean-field takes into account not only the states of the players but also their collective behavior, To do so, we develop a random variable framework that is particularly convenient for these problems. We prove an existence result for extended mean-field games and establish uniqueness conditions. In the last section, we consider the Master Equation and discuss properties of its solutions.
ISSN:2331-8422