Phase transitions in the Prisoner's Dilemma game on scale-free networks
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2023
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866916122451771392 |
|---|---|
| author | Miękisz, Jacek Mohamadichamgavi, Javad Łącki, Jakub |
| author_facet | Miękisz, Jacek Mohamadichamgavi, Javad Łącki, Jakub |
| contents | We study stochastic dynamics of the Prisoner's Dilemma game on random Erdös-Rényi and Barabási-Albert networks with a cost of maintaining a link between interacting players. Stochastic simulations show that when the cost increases, the population of players located on Barabási-Albert network undergoes a sharp transition from an ordered state, where almost all players cooperate, to a state in which both cooperators and defectors coexist. At the critical cost, the population oscillates in time between these two states. Such a situation is not present in the Erdös-Rényi network. We provide some heuristic analytical arguments for the phase transition and the value of the critical cost in the Barabási-Albert network. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_02896 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Phase transitions in the Prisoner's Dilemma game on scale-free networks Miękisz, Jacek Mohamadichamgavi, Javad Łącki, Jakub Populations and Evolution Physics and Society We study stochastic dynamics of the Prisoner's Dilemma game on random Erdös-Rényi and Barabási-Albert networks with a cost of maintaining a link between interacting players. Stochastic simulations show that when the cost increases, the population of players located on Barabási-Albert network undergoes a sharp transition from an ordered state, where almost all players cooperate, to a state in which both cooperators and defectors coexist. At the critical cost, the population oscillates in time between these two states. Such a situation is not present in the Erdös-Rényi network. We provide some heuristic analytical arguments for the phase transition and the value of the critical cost in the Barabási-Albert network. |
| title | Phase transitions in the Prisoner's Dilemma game on scale-free networks |
| topic | Populations and Evolution Physics and Society |
| url | https://arxiv.org/abs/2304.02896 |