Journal ArticleDOI
Discounted, positive, and noncooperative stochastic games
TLDR
In this article, the stochastic games of Shapley were considered and it was shown that under certain conditions, the game has a value and both players have an optimal strategy.Abstract:
In this paper, we consider the stochastic games ofShapley and prove under certain conditions the stochastic game has a value and both players have optimal strategies. We also prove a similar result for noncooperative stochastic games.read more
Citations
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Book ChapterDOI
Nonzero-sum Stochastic Games
TL;DR: In this article, a survey of stochastic Markov games with general state spaces is presented. But the authors focus on nonzero-sum games and provide a detailed survey of selected recent results.
Journal ArticleDOI
Markovian equilibrium in a class of stochastic games: existence theorems for discounted and undiscounted models
TL;DR: In this paper, the authors studied a general version of the neoclassical growth model under possible production uncertainty and established the existence of stationary Markov equilibria in pure strategies for the discounted game.
Journal ArticleDOI
On a new class of nonzero-sum discounted stochastic games having stationary Nash equilibrium points
TL;DR: A new class of nonzero-sum Borel state space discounted stochastic games having stationary Nash equilibria is presented and some applications to economic theory are also included.
Journal ArticleDOI
Perfect equilibrium in non-randomized strategies in a class of symmetric dynamic games☆
TL;DR: In this paper, a class of infinite-horizon dynamic games is considered and it is shown that the game admits a subgame-perfect equilibrium in non-randomized Markovian strategies.
Journal ArticleDOI
Existence of p-equilibrium and optimal stationary strategies in stochastic games
TL;DR: In this paper, the existence of p-equilibrium stationary strategies for non-zero-sum stochastic games is proved for both positive and discounted zero-sum games when the state space is infinite.
References
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Journal ArticleDOI
An Introduction to Probability Theory and Its Applications
David A. Freedman,William Feller +1 more
Journal ArticleDOI
Stochastic Games
TL;DR: In a stochastic game the play proceeds by steps from position to position, according to transition probabilities controlled jointly by the two players, and the expected total gain or loss is bounded by M, which depends on N 2 + N matrices.
Some topics in two-person games
TL;DR: In this article, several loosely-related essays on the theory of finite, two-person games are presented, with an emphasis on features of the theory that depend only on the ordering of the payoffs, as opposed to their numerical values.