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The Theory of Extensive Form Games (Hardcover, 1st ed. 2016)
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The Theory of Extensive Form Games (Hardcover, 1st ed. 2016)
Series: Springer Series in Game Theory
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This book treats extensive form game theory in full generality. It
provides a framework that does not rely on any finiteness
assumptions at all, yet covers the finite case. The presentation
starts by identifying the appropriate concept of a game tree. This
concept represents a synthesis of earlier approaches, including the
graph-theoretical and the decision-theoretical ones. It then
provides a general model of sequential, interpersonal decision
making, called extensive decision problems. Extensive forms are a
special case thereof, which is such that all strategy profiles
induce outcomes and do so uniquely. Requiring the existence of
immediate predecessors yields discrete extensive forms, which are
still general enough to cover almost all applications. The
treatment culminates in a characterization of the topologies on the
plays of the game tree that admit equilibrium analysis.
General
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