In this work, we aim to answer the question: what triggers cooperative behavior in the thermodynamic limit by taking recourse to the Public goods game. Using the idea of mapping the 1D Ising model Hamiltonian with nearest neighbor coupling to payoffs in game theory, we calculate the Magnetization of the game in the thermodynamic limit. We see a phase transition in the thermodynamic limit of the two player Public goods game. We observe that punishment acts as an external field for the two player Public goods game triggering cooperation or provide strategy, while cost can be a trigger for suppressing cooperation or free riding. Finally, reward also acts as a trigger for providing, while the role of inverse temperature (fluctuations in choices) is to introduce randomness in strategic choices.
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Research Article|
May 31 2019
Triggers for cooperative behavior in the thermodynamic limit: A case study in Public goods game
Colin Benjamin
;
Colin Benjamin
School of Physical Sciences, National Institute of Science Education and Research
, HBNI, Jatni 752050, India
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Shubhayan Sarkar
Shubhayan Sarkar
School of Physical Sciences, National Institute of Science Education and Research
, HBNI, Jatni 752050, India
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Chaos 29, 053131 (2019)
Article history
Received:
December 08 2018
Accepted:
April 16 2019
Citation
Colin Benjamin, Shubhayan Sarkar; Triggers for cooperative behavior in the thermodynamic limit: A case study in Public goods game. Chaos 1 May 2019; 29 (5): 053131. https://doi.org/10.1063/1.5085076
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