The Theory of Extensive Form Games
The Theory of Extensive Form Games
Springer | Economic Theory | August 9, 2016 | ISBN-10: 3662499428 | 248 pages | pdf | 3.12 mb
Springer | Economic Theory | August 9, 2016 | ISBN-10: 3662499428 | 248 pages | pdf | 3.12 mb
Authors: Alós-Ferrer, Carlos, Ritzberger, Klaus
Addresses extensive form games in full generality without any finiteness assumptions
Synthesizes earlier approaches to the representation of extensive form games
Includes numerous examples and illustrations that help to develop intuition
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.
Topics
Economic Theory/Quantitative Economics/Mathematical Methods
Game Theory, Economics, Social and Behav. Sciences
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