Issue |
EPL
Volume 144, Number 1, October 2023
|
|
---|---|---|
Article Number | 11007 | |
Number of page(s) | 6 | |
Section | Statistical physics and networks | |
DOI | https://doi.org/10.1209/0295-5075/ad01d9 | |
Published online | 26 October 2023 |
Is the public goods game a chaotic system?
1 Departamento de Física, Universidade Federal da Paraíba - 58051-970 João Pessoa, PB, Brazil
2 Departamento de Matemática, Universidade Estadual de Maringá - 87020-900 Maringá, PR, Brazil
3 Departamento de Física, Universidade Estadual de Maringá - 87020-900 Maringá, PR, Brazil
(a) E-mail: migueljbf@gmail.com (corresponding author)
Received: 28 April 2023
Accepted: 10 October 2023
This work deals with the time evolution of the Hamming distance density for the public goods game. We consider distinct possibilities for this game, which are exactly described by a function called q-exponential, that represents a deformation of the usual exponential function parametrized by q, suggesting that the system belongs to the class of weakly chaotic systems when . These possibilities are related to the amount of players allowed in each game.
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