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The Theory of Extensive Form Games

  • Carlos Alós-Ferrer
  • Klaus Ritzberger

Part of the Springer Series in Game Theory book series (SSGT)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Carlos Alós-Ferrer, Klaus Ritzberger
    Pages 1-15
  3. Carlos Alós-Ferrer, Klaus Ritzberger
    Pages 17-55
  4. Carlos Alós-Ferrer, Klaus Ritzberger
    Pages 57-66
  5. Carlos Alós-Ferrer, Klaus Ritzberger
    Pages 67-97
  6. Carlos Alós-Ferrer, Klaus Ritzberger
    Pages 99-130
  7. Carlos Alós-Ferrer, Klaus Ritzberger
    Pages 131-161
  8. Carlos Alós-Ferrer, Klaus Ritzberger
    Pages 163-222
  9. Back Matter
    Pages 223-239

About this book

Introduction

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.

Keywords

Equilibrium analysis Extensive form game Game theory Game trees Infinite games

Authors and affiliations

  • Carlos Alós-Ferrer
    • 1
  • Klaus Ritzberger
    • 2
  1. 1.Department of EconomicsUniversity of CologneCologneGermany
  2. 2.Department of Economics and FinanceInstitute for Advanced StudiesViennaAustria

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-49944-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 2016
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Economics and Finance
  • Print ISBN 978-3-662-49942-9
  • Online ISBN 978-3-662-49944-3
  • Series Print ISSN 1868-517X
  • Series Online ISSN 1868-5188
  • Buy this book on publisher's site
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