Dynamic Oligopolies with Time Delays

Akio Matsumoto, Chuo UniversityFerenc Szidarovszky, Corvinus University

• Preface.- 1. Introduction.- 2.Dynamic Monopolies.- 2.1. Discrete time models.- 2.2. Continuous time models with fixed delays.- 2.3. Continuous time models with distributed delays.- 2.4. Supplementary notes and discussions.- 3.Dynamic Duopolies.- 3.1. Discrete time model.- 3.2. Continuous time models with fixed delays.- 3.3. Continuous time models with distributed delays.- 3.4. Supplementary notes and discussions.- 4.Dynamic Oligopolies.- 4.1. Discrete dynamics.- 4.2. Continuous dynamics with fixed delays.- 4.3. Continuous dynamics with distributed delays.- 4.4. Supplementary notes and discussions.- 5.Learning in Monopolies and Oligopolies.- 5.1. Learning in monopolies.- 5.2. Learning in oligopolies.- 6. Oligopolies with Partial Cooperation.- 6.1. Dynamic models.- 6.2. Cartelizing groups and antitrust threshold.- 6.3. Supplementary notes and discussions Appendix A. Stability Switching Curves with Fixed Delays.- A.1. Single-delay equations.- A.2. Two-delay equations.- A.3. Three-delay equationsAppendix.- B. Stability Analysis with Continuously Distributed DelaysAppendix.- C. Comparison of Discrete and Continuous Dynamics.