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A report on NISOCSol: An algorithm for approximating Markovian equilibria in dynamic games with coupled-constraints

Krawczyk, Jacek B. and Azzato, Jeffrey D. (2006): A report on NISOCSol: An algorithm for approximating Markovian equilibria in dynamic games with coupled-constraints.

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Abstract

In this report, we outline a method for approximating a Markovian (or feedback-Nash) equilibrium of a dynamic game, possibly subject to coupled-constraints. We treat such a game as a "multiple" optimal control problem. A method for approximating a solution to a given optimal control problem via backward induction on Markov chains was developed in [Kra01]. A Markovian equilibrium may be obtained numerically by adapting this backward induction approach to a stage Nikaido-Isoda function (described in [KZ06]).

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