A stochastic multiple-leader Stackelberg Model: analysis, computation, and application

DeMiguel, V and Xu, H (2009) A stochastic multiple-leader Stackelberg Model: analysis, computation, and application. Operations Research, 57 (5). pp. 1220-1235. ISSN 0030-364X


We study an oligopoly consisting of M leaders and N followers that supply a homogeneous product (or service) noncooperatively. Leaders choose their supply levels first, knowing the demand function only in distribution. Followers make their decisions after observing the leader supply levels and the realized demand function. We term the resulting equilibrium a stochastic multiple-leader Stackelberg-Nash-Cournot (SMS) equilibrium. We show the existence and uniqueness of SMS equilibrium under mild assumptions. We also propose a computational approach to find the equilibrium based on the sample average approximation method and analyze its rate of convergence. Finally, we apply this framework to model competition in the telecommunication industry.

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Item Type: Article
Subject Areas: Management Science and Operations
Date Deposited: 17 May 2016 12:25
Last Modified: 03 Feb 2024 01:45
URI: https://lbsresearch.london.edu/id/eprint/414

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