Bibliographic Information

The Theory of extensive form games

Carlos Alós-Ferrer, Klaus Ritzberger

(Springer series in game theory)

Springer, c2016

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Note

Bibliography: p. 233-236

Includes index

Description and Table of Contents

Description

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.

Table of Contents

Introduction.- Game Trees.- Pseudotrees and Order Theory.- Extensive Decision Problems.- Extensive Forms.- Discrete Extensive Forms.- Equilibrium.- A Mathematical Appendix.

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Details

  • NCID
    BB21791980
  • ISBN
    • 9783662499429
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Berlin
  • Pages/Volumes
    xv, 239 p.
  • Size
    25 cm
  • Classification
  • Parent Bibliography ID
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