Regensburg 2022 – wissenschaftliches Programm

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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 17: Poster

SOE 17.4: Poster

Donnerstag, 8. September 2022, 15:00–18:00, P2

Population dynamics and Nash equilibria in optimizing complexity measures — •Archan Mukhopadhyay and Jens Christian Claussen — University of Birmingham, UK

Do natural networks evolve towards complexity? In a related project (Mukhopadhyay and Claussen, to be submitted) we utilize graph complexity measures as fitness function for an evolutionary algorithm. This effectively leads to an evolutionary dynamics between complexity measures as "species" or "strategies". Here we rephrase each complexity measure value from the numerical simulations (when optimizing towards annother complexity measure as co-evolutionary fitness value of one species within a population where annother species is highly abundant). We analyze the resulting payoff matrix with respect to their Nash equilibria and evolutionarily stable strategies, if interpreted within the context of evolutionary game theory.