The Theory of Oligopoly with Multi-Product Firms

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1 Introduction2 Oligopoly Games and Their Extensions -- 2.1 The Cournot Model -- 2.2 Models with Product Differentiation -- 2.3 Multiproduct Models -- 2.4 Group Equilibrium Problems -- 2.5 Rent Seeking Models -- 2.6 Labor-Managed Oligopoly -- 2.7 Oligopsony -- 2.8 Two-Stage and Multi-Stage Oligopolies -- 2.9 A Hierarchical Model -- 2.10 Supplementary Notes and Discussions -- 3 Existence and Uniqueness Results -- 3.1 Existence Results for Multiproduct Oligopoly -- 3.2 Relation of Equilibrium Problems to Fixed Point and Nonlinear Complementarity Problems -- 3.3 Uniqueness and Properties of Equilibria in the Classical Game -- 3.4 Linear Oligopoly Models -- 3.5 Numerical Methods for Finding Cournot-Nash Equilibria -- 3.6 Existence of Equilibrium in Rent Seeking Games -- 3.7 Existence of Equilibrium in Labor-Managed Oligopolies -- 3.8 Existence of Equilibrium in Oligopsony -- 3.9 Supplementary Notes and Discussions -- 4 Dynamic Oligopoly with Discrete Time Scale -- 4.1 Cournot Expectations -- 4.2 Adaptive Expectations -- 4.3 Sequential Adjustment Processes -- 4.4 Extrapolative Expectations -- 4.5 Oligopoly with Market Saturation -- 4.6 Quasioptimal Output Selections -- 4.7 Production Adjustment Costs -- 4.8 Dynamic Rent Seeking Oligopolies -- 4.9 Dynamic Labor-Managed Oligopolies -- 4.10 Dynamic Oligopsonies -- 4.11 Supplementary Notes and Discussions -- 5 Dynamic Oligopoly with Continuous Time Scale -- 5.1 Classical Results -- 5.2 Adaptive Expectations -- 5.3 Extrapolative Expectations -- 5.4 Oligopoly with Market Saturation -- 5.5 Production Adjustment Costs -- 5.6 Dynamic Rent Seeking Oligopolies -- 5.7 Dynamic Labor-Managed Oligopolies -- 5.8 Dynamic Oligopsonies -- 5.9 Supplementary Notes and Discussions -- 6 Extensions and Generalizations -- 6.1 Quadratic Games Under Discrete Time Scale -- 6.2 Quadratic Games Under Continuous Time Scale -- 6.3 Nonlinear Oligopolies Under Discrete Time Scale -- 6.4 Nonlinear Oligopolies Under Continuous Time Scale -- 6.5 Supplementary Notes and Discussions -- 7 Applications -- 7.1 Network Oligopolies -- 7.2 Taxation -- 7.3 Water Resources Applications -- 7.4 An Oligopoly Model of Commercial Fishing -- 7.5 Controllability in Oligopolies -- 7.6 Supplementary Notes and Discussions -- References.

10.1007/978-3-642-60169-9 [DOI]

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