2019/12/01 by Krzysztof Argasiński, Argasinski, Krzysztof, Ryszard Rudnicki +1
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · Social Sciences · #Adaptation and Self-Organizing Systems (nlin.AO) #Dynamical Systems (math.DS) #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #FOS: Biological sciences #FOS: Mathematics #FOS: Physical sciences #Opinion Dynamics and Social Influence #Populations and Evolution (q-bio.PE)
paper · pdf · doi:10.48550/arxiv.1912.00522
openalex publication_date 2019/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The paper contains the attempt to integration of the classical evolutionary\ngame theory based on replicator dynamics and the state based approach of\nHouston and Mcnamara. In the new approach, individuals have different heritable\nstrategies, however the individuals carrying the same strategy can differ on\nthe state, role or situation in which they act. Thus, the classical replicator\ndynamics is completed by the additional subsystem of differential equations\ndescribing the dynamics of transitions between different states. In effect the\ninteractions described by game structure, in addition to the demographic\npayoffs (constituted by births and deaths) can lead to the change of state of\nthe competing individuals. The special cases of the new framework of stage\nstructured models where the state changes describe developmental steps or aging\nare derived. New approach is illustrated by the example of Owner-Intruder game\nwith explicit dynamics of the role changes. New model is the generalization of\nthe demographic version of the Hawk-Dove game, the difference is that opponents\nin the game are drawn from two separate subpopulations consisting of Owners and\nIntruders. Intruders check random nest sites, and play the Hawk-Dove game with\nthe Owner if they are occupied. Interesting feedback mechanism is produced by\nfluxes of individuals between subpopulations. Owners produce newborns which\nbecome Intruders, since they should find a free nest site to reproduce.\n