Stochastic models in queueing theory
Stochastic models in queueing theory
Price and Time Competition for Service Delivery
Manufacturing & Service Operations Management
Competition and Outsourcing with Scale Economies
Management Science
A General Equilibrium Model for Industries with Price and Service Competition
Operations Research
Pricing and inventory management in a system with multiple competing retailers under (r, Q) policies
Computers and Operations Research
Network capacity management under competition
Computational Optimization and Applications
Manufacturing & Service Operations Management
Product and Price Competition with Satiation Effects
Management Science
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We show the existence of Nash equilibria in a Bertrand oligopoly price competition game using a possibly asymmetric attraction demand model with convex costs under mild assumptions. We show that the equilibrium is unique and globally stable. To our knowledge, this is the first paper to show the existence of a unique equilibrium with both nonlinear demand and nonlinear costs. In addition, we guarantee the linear convergence rate of tatônnement. We illustrate the applicability of this approach with several examples arising from operational considerations that are often ignored in the economics literature.