Solving a Location Problem of a Stackelberg Firm Competing with Cournot-Nash Firms
location analysis, Stackelberg-Cournot-Nash equilibrium, game theory, variational inequality, simulated annealing
Digital Object Identifier (DOI)
We study a discrete facility location problem on a network, where the locating firm acts as the leader and other competitors as the followers in a Stackelberg-Cournot-Nash game. To maximize expected profits the locating firm must solve a mixed-integer problem with equilibrium constraints. Finding an optimal solution is hard for large problems, and full-enumeration approaches have been proposed in the literature for similar problem instances. We present a heuristic solution procedure based on simulated annealing. Computational results are reported.
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Citation / Publisher Attribution
Networks and Spatial Economics, v. 14, issue 1, p. 117-132
Scholar Commons Citation
Berglund, Paul G. and Kwon, Changhyun, "Solving a Location Problem of a Stackelberg Firm Competing with Cournot-Nash Firms" (2014). Industrial and Management Systems Engineering Faculty Publications. 33.