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- Diogo A. Gomes, Joana Mohr, Rafael R. Souza
- ArXiv
- 2010

Mean field games is a recent area of study introduced by Lions and Lasry in a series of seminal papers in 2006. Mean field games model situations of competition between large number of rational agents that play non-cooperative dynamic games under certain symmetry assumptions. A key step is to develop a mean field model, in a similar way to what is done in… (More)

- Diogo A. Gomes, Joana Mohr
- 2009

In this paper we study a mean field model for discrete time, finite number of states, dynamic games. These models arise in situations that involve a very large number of agents moving from state to state according to certain optimality criteria. The mean field approach for optimal control and differential games (continuous state and time) was introduced by… (More)

Negative Entropy, Zero temperature and stationary Markov chains on the interval. Abstract We analyze properties of maximizing stationary Markov probabilities on the Bernoulli space [0, 1] N , which means we consider stationary Markov chains with state space given by the interval S = [0, 1]. More precisely, we consider ergodic optimization for a continuous… (More)

We analyze some properties of maximizing stationary Markov probabilities on the (modified) Bernoulli space [0, 1] N , which means we consider stationary Markov chains with state space S = [0, 1]. More precisely, we consider ergodic optimization for a continuous potential A, where A : [0, 1] N → R which depends only on the two first coordinates of [0, 1] N.… (More)

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