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Is the public goods game a chaotic system?

Published 16 Oct 2023 in physics.soc-ph | (2310.10703v1)

Abstract: 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 $q < 1$. These possibilities are related to the amount of players allowed in each game.

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