Theory of Conjectural Variations.

Theory of Conjectural Variations.

We have witnessed in recent years a revival of Conjectural Variations in Game Theory. This reincarnation of an old idea, using a dynamic point of view, aims at combining the adequacy with facts to the requirements of a firmly grounded theory. This book presents, for the first time, a comprehensive a...

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Bibliographic Details
Main Author: Jean-Marie, Alain
Other Authors: Tidball, Mabel
Format: eBook
Language:English
Published: Singapore : World Scientific Publishing Company, 2004.
Series:Series on Mathematical Economics & Game Theory.
Subjects:
Economics, Mathematical.
Game theory.
Economics, Mathematical
Game theory
Online Access:Click for online access
Table of Contents:
  • Contents
  • Preface
  • 1. Static Conjectural Variations Equilibria: Initial Concepts
  • 1.1 Introduction
  • 1.2 Origin of the conjectural variations concept
  • 1.3 Definitions and characterisation of Conjectural Variations Equilibria
  • 1.3.1 Notation and assumptions
  • 1.3.2 Nash equilibrium Pareto optimality 1.3.3 Conjectures reactions and consistency
  • 1.3.4 Conjectural Variations Equilibria with general conjectures (GCVE)
  • 1.3.5 Conjectural Variations Equilibria (CVE)
  • 1.3.6 Consistent General Conjectural Variations Equilibria (CGCVE)
  • 1.3.7 Consistent Conjectural Variations Equilibria (CCVE) 1.3.8 Equilibria with punctual consistency
  • 1.3.9 Conjectures in many-player games
  • 1.4 Examples and illustrations
  • 1.4.1 Cournot's duopoly
  • 1.4.2 Bertrand's duopoly
  • 1.4.3 Voluntary contributions to a public good 1.5 An attempt at generalisation
  • 1.6 Conclusion
  • 2. Conjectures as Reduced Forms for Dynamic Interactions
  • 2.1 Introduction
  • 2.2 Private provision of a public good
  • 2.2.1 One-shot simultaneous contributions
  • 2.2.2 Repeated contributions 2.2.3 Private investment in a stock of public good
  • 2.3 Oligopoly
  • 2.3.1 Static Cournot oligopoly with constant conjectures
  • 2.3.2 A repeated linear oligopoly
  • 2.3.3 Dynamic duopoly with adjustment costs

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