132220 20260218073119.0 doi 10.1016/j.chaos.2023.114418 sideral 137537 ART-2024-137537 eng (orcid)0000-0001-7530-2626 de Miguel-Arribas, A. Universidad de Zaragoza Contests in two fronts 2024 Access copy available to the general public Unrestricted Within the framework of Game Theory, there are games where rewards depend on the relative rank between contenders rather than their absolute performance. We refer to these situations as contests. By relying on the formalism of Tullock success functions, we propose a model where two contenders fight in a contest 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. info:eu-repo/grantAgreement/ES/DGA/E36-23R-FENOL info:eu-repo/grantAgreement/ES/MICINN/PID2020-113582GB-I00 info:eu-repo/grantAgreement/ES/MICINN/PID2020-115800GB-I00 info:eu-repo/semantics/openAccess by-nc-nd https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es 5.6 2024 PHYSICS, MATHEMATICAL 1 / 61 = 0.016 2024 Q1 T1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS 7 / 136 = 0.051 2024 Q1 T1 PHYSICS, MULTIDISCIPLINARY 17 / 114 = 0.149 2024 Q1 T1 1.184 2024 Applied Mathematics 2024 Q1 Mathematical Physics 2024 Q1 Statistical and Nonlinear Physics 2024 Q1 Physics and Astronomy (miscellaneous) 2024 Q1 Mathematics (miscellaneous) 2024 Q1 9.9 2024 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Morón-Vidal, J. (orcid)0000-0003-4479-8360 Floría, L.M. Universidad de Zaragoza (orcid)0000-0002-9769-8796 Gracia-Lázaro, C. Hernández, L. (orcid)0000-0002-0895-1893 Moreno, Y. Universidad de Zaragoza 2004 398 Universidad de Zaragoza Dpto. Física Teórica Área Física de la Tierra 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 179 (2024), 114418 [12 pp.] Chaos, solitons fractals Chaos, Solitons and Fractals 0960-0779 384394 http://zaguan.unizar.es/record/132220/files/texto_completo.pdf Postprint info:eu-repo/date/embargoEnd/2025-01-13 548459 http://zaguan.unizar.es/record/132220/files/texto_completo.jpg?subformat=icon icon Postprint info:eu-repo/date/embargoEnd/2025-01-13 oai:zaguan.unizar.es:132220 articulos driver 2026-02-17-20:20:12 ARTICLE