The Continuous Hotelling Pure Location Game with Elastic Demand Revisited
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The Hotelling pure location game has been revisited. It is assumed that there are two identical players, strategy sets are one-dimensional, and demand as a function of distance is constant or strictly decreasing. Besides qualitative properties of conditional payoff functions, attention is given to the structure of the equilibrium set, best-response correspondences and the existence of potentials.
KeywordsHotelling game Potential game Pure Nash equilibrium existence Principle of Minimum Differentiation
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