Adaptive Punishment in Social Dilemmas

Fuente: arXiv
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Main Authors: Ke, Xingfu, Yu, Hao, Han, Xiao-Pu, Zhang, Yi-Cheng, Meng, Fanyuan
Format: Preprint
Published: 2025
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author Ke, Xingfu
Yu, Hao
Han, Xiao-Pu
Zhang, Yi-Cheng
Meng, Fanyuan
author_facet Ke, Xingfu
Yu, Hao
Han, Xiao-Pu
Zhang, Yi-Cheng
Meng, Fanyuan
contents We introduce a coevolutionary framework in which punishment intensity dynamically adapts to the fraction of cooperators in the population. Unlike static models, adaptive punishment reshapes the effective payoff landscape, driving transitions among canonical games, including the Prisoner's Dilemma, Harmony, Stag Hunt, and Chicken games. Analytical results reveal rich dynamical behaviors such as coexistence, bistability, limit cycle and Hopf bifurcation. These findings highlight adaptive punishment as a robust mechanism for sustaining cooperation by the coevolutionary feedback and offer insights into institutional design, ecological interactions, and social governance.
format Preprint
id arxiv_https___arxiv_org_abs_2512_09450
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Adaptive Punishment in Social Dilemmas
Ke, Xingfu
Yu, Hao
Han, Xiao-Pu
Zhang, Yi-Cheng
Meng, Fanyuan
Physics and Society
We introduce a coevolutionary framework in which punishment intensity dynamically adapts to the fraction of cooperators in the population. Unlike static models, adaptive punishment reshapes the effective payoff landscape, driving transitions among canonical games, including the Prisoner's Dilemma, Harmony, Stag Hunt, and Chicken games. Analytical results reveal rich dynamical behaviors such as coexistence, bistability, limit cycle and Hopf bifurcation. These findings highlight adaptive punishment as a robust mechanism for sustaining cooperation by the coevolutionary feedback and offer insights into institutional design, ecological interactions, and social governance.
title Adaptive Punishment in Social Dilemmas
topic Physics and Society
url https://arxiv.org/abs/2512.09450