A Course in Game Theory

@inproceedings{Osborne1994ACI,
  title={A Course in Game Theory},
  author={M. Osborne and A. Rubinstein},
  year={1994}
}
A Course in Game Theory presents the main ideas of game theory at a level suitable for graduate students and advanced undergraduates, emphasizing the theory's foundations and interpretations of its basic concepts. The authors provide precise definitions and full proofs of results, sacrificing generalities and limiting the scope of the material in order to do so. The text is organized in four parts: strategic games, extensive games with perfect information, extensive games with imperfect… Expand
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References

SHOWING 1-10 OF 107 REFERENCES
The Folk Theorems For Repeated Games: A Synthesis
The theory of repeated games occupies a central place in noncooperative game theory as it forms a relatively simple platform from which to study dynamic aspects of strategic interaction. In thisExpand
Finite Automata Play A Repeated Extensive Game
Abstract This paper analyzes a two-player game in which each player has to choose an automaton (machine) which plays an infinitely repeated extensive game . We assume that the preferences of theExpand
Information patterns and Nash equilibria in extensive games: 1
Abstract In this paper we explore the relation between information patterns and Nash Equilibria in extensive games. By information we mean what players know about moves made by others, as well as byExpand
Theory of Games and Economic Behavior.
This is the classic work upon which modern-day game theory is based. What began more than sixty years ago as a modest proposal that a mathematician and an economist write a short paper togetherExpand
A Value for n-person Games
Introduction At the foundation of the theory of games is the assumption that the players of a game can evaluate, in their utility scales, every “prospect” that might arise as a result of a play. InExpand
SOME TOPICS IN TWO-PERSON GAMES
Abstract : Several loosely-related essays on the theory of finite, two-person games are presented. The topics covered are: (1) the block decomposition of symmetric games; (2) saddle points inExpand
ON THE STRATEGIC STABILITY OF EQUILIBRIA
A basic problem in the theory of noncooperative games is the following: which Nash equilibria are strategically stable, i.e. self-enforcing, and does every game have a strategically stableExpand
The Structure of Nash Equilibrium in Repeated Games with Finite Automata (Now published in Econometrica, 56 (1988), pp.1259-1282.)
The authors study the Nash equilibria of a two-person, infinitely-repeated game in which players' preferences depend on repeated game payoffs and the complexity of the strategies they use. The modelExpand
On Repeated Games with Complete Information
  • S. Sorin
  • Mathematics, Computer Science
  • Math. Oper. Res.
  • 1986
TLDR
This work proves several properties of the sets of feasible payoffs and Nash equilibrium payoffs for the n-stage game and for the λ-discounted game and determines the set of equilibrium payoff for the Prisoner's Dilemma corresponding to the critical value of the discount factor. Expand
The chain store paradox
The chain store game is a simple game in extensive form which produces an inconsistency between game theoretical reasoning and plausible human behavior. Well-informed players must be expected toExpand
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