The challenge of non-zero-sum stochastic games

Simon, R. S. (2016). The challenge of non-zero-sum stochastic games. International Journal of Game Theory, 45(1), 191-204. https://doi.org/10.1007/s00182-015-0497-3
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For a broad definition of time-discrete stochastic games, their zero-sum varieties have values. But the existence of ϵ -equilibrium for the corresponding non-zero-sum games has proven elusive. We present the problems associated with ϵ -equilibria in non-zero-sum stochastic games, from both the perspectives of proving existence and demonstrating a counter-example.

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