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Article

Simulation of the Stackelberg–Hotelling Game

Complex Systems Group, Universidad Politécnica de Madrid, C. Universitaria, 28040 Madrid, Spain
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Author to whom correspondence should be addressed.
Games 2024, 15(5), 34; https://doi.org/10.3390/g15050034
Submission received: 8 August 2024 / Revised: 30 September 2024 / Accepted: 7 October 2024 / Published: 11 October 2024
(This article belongs to the Section Algorithmic and Computational Game Theory)

Abstract

This work studies the Hotelling game with sequential choice of prices, that is, the Stackelberg–Hotelling (SHOT) game. The game is studied through numerical simulation, which provides the subgame perfect equilibrium solution not only in the unrestricted game but also in the game with reservation cost and with elastic demand. The simulation technique is tested first in the unconstrained game, where the analytical subgame perfect equilibrium solution was already known. Then, the numerical procedure is generalized to cope with the SHOT game with reservation cost and with elastic demand. These enriched formulations of the SHOT game have not been studied so far, so this article provides an exploratory study of them.
Keywords: game theory; simulation; Hotelling; Stackelberg; equilibrium game theory; simulation; Hotelling; Stackelberg; equilibrium

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MDPI and ACS Style

Garcia-Perez, L.; Grau-Climent, J.; Losada, J.C.; Alonso-Sanz, R. Simulation of the Stackelberg–Hotelling Game. Games 2024, 15, 34. https://doi.org/10.3390/g15050034

AMA Style

Garcia-Perez L, Grau-Climent J, Losada JC, Alonso-Sanz R. Simulation of the Stackelberg–Hotelling Game. Games. 2024; 15(5):34. https://doi.org/10.3390/g15050034

Chicago/Turabian Style

Garcia-Perez, Luis, Juan Grau-Climent, Juan C. Losada, and Ramon Alonso-Sanz. 2024. "Simulation of the Stackelberg–Hotelling Game" Games 15, no. 5: 34. https://doi.org/10.3390/g15050034

APA Style

Garcia-Perez, L., Grau-Climent, J., Losada, J. C., & Alonso-Sanz, R. (2024). Simulation of the Stackelberg–Hotelling Game. Games, 15(5), 34. https://doi.org/10.3390/g15050034

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