000132220 001__ 132220 000132220 005__ 20240322114950.0 000132220 0247_ $$2doi$$a10.1016/j.chaos.2023.114418 000132220 0248_ $$2sideral$$a137537 000132220 037__ $$aART-2024-137537 000132220 041__ $$aeng 000132220 100__ $$0(orcid)0000-0001-7530-2626$$ade Miguel-Arribas, A.$$uUniversidad de Zaragoza 000132220 245__ $$aContests in two fronts 000132220 260__ $$c2024 000132220 5060_ $$aAccess copy available to the general public$$fUnrestricted 000132220 5203_ $$aWithin 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. 000132220 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E36-23R-FENOL$$9info:eu-repo/grantAgreement/ES/MICINN/PID2020-113582GB-I00$$9info:eu-repo/grantAgreement/ES/MICINN/PID2020-115800GB-I00 000132220 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000132220 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000132220 700__ $$aMorón-Vidal, J. 000132220 700__ $$0(orcid)0000-0003-4479-8360$$aFloría, L.M.$$uUniversidad de Zaragoza 000132220 700__ $$0(orcid)0000-0002-9769-8796$$aGracia-Lázaro, C. 000132220 700__ $$aHernández, L. 000132220 700__ $$0(orcid)0000-0002-0895-1893$$aMoreno, Y.$$uUniversidad de Zaragoza 000132220 7102_ $$12004$$2398$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física de la Tierra 000132220 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica 000132220 773__ $$g179 (2024), 114418 [12 pp.]$$pChaos, solitons fractals$$tChaos, Solitons and Fractals$$x0960-0779 000132220 8564_ $$s384394$$uhttps://zaguan.unizar.es/record/132220/files/texto_completo.pdf$$yPostprint$$zinfo:eu-repo/semantics/openAccess 000132220 8564_ $$s548459$$uhttps://zaguan.unizar.es/record/132220/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint$$zinfo:eu-repo/semantics/openAccess 000132220 909CO $$ooai:zaguan.unizar.es:132220$$particulos$$pdriver 000132220 951__ $$a2024-03-22-11:48:12 000132220 980__ $$aARTICLE