2023/03/31 by Alfonso de Miguel-Arribas, Jorge Morón-Vidal, de Miguel-Arribas, A. +9
Decision Sciences · Social Sciences · #Evolutionary Game Theory and Cooperation #Experimental Behavioral Economics Studies #FOS: Physical sciences #Game Theory and Applications #Physics and Society (physics.soc-ph)
paper · pdf · doi:10.48550/arxiv.2303.18109
openalex publication_date 2023/03/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Within the framework of Game Theory, contests study decision-making in those situations or conflicts when rewards depend on the relative rank between contenders rather than their absolute performance. By relying on the formalism of Tullock success functions, we propose a model where two contenders fight in a conflict on two fronts with different technology levels associated: a front with large resource demand and another with lower resource requirements. The parameter of the success function in each front determines the resource demand level. Furthermore, the redistribution or not of resources after a tie defines two different games. We solve the model analytically through the best-response map dynamics, finding a critical threshold for the ratio of the resources between contenders that determines the Nash Equilibrium basin and, consequently, the peace and fighting regimes. We also perform numerical simulations that corroborate and extend these findings. We hope this study will be of interest to areas as diverse as economic conflicts and geopolitics.