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What does a dynamic oligopoly maximize? The continuous time Markov case

2024/07/30 by Juan Pablo Rincón‐Zapatero, Rincón-Zapatero, Juan Pablo
Economics, Econometrics and Finance · #FOS: Economics and business #FOS: Mathematics #Merger and Competition Analysis #Optimization and Control (math.OC) #Theoretical Economics (econ.TH)

paper · pdf · doi:10.48550/arxiv.2407.20810

openalex publication_date 2024/07/30 · openalex created_date 2024/08/01 · openalex updated_date 2026/07/28

Abstract

We analyze the question of whether the outcome of an oligopoly exploiting a nonrenewable resource can be replicated by a related monopoly, within the framework of continuous time and Markov Perfect Nash Equilibrium. We establish necessary and sufficient conditions and find explicit solutions in some cases. Also, very simple models with externalities are shown which Nash equilibrium cannot be replicated in a monopoly.

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