The turnpike theorems for Markov games

Details The turnpike theorems for Markov games The turnpike theorems for Markov games

2012-03-29

arxiv.org/abs/1203.6553v1

Mathematics

Probability

The paper has been submitted to Dynamic Games and Applications for publication

Scientific paper

This paper has a two-folded purpose. First, we attempt to outline the development of the turnpike theorems in the the last several decades. Second, we study turnpike theorems in finite-horizon two-person zero-sum Markov games on a general Borel state space. Utilising the Bellman (or Shapley) operator defined for this game, we prove the stochastic versions of the early turnpike theorem on the set of optimal strategies and the middle turnpike theorem on the distribution of the state space.

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