Colin Benjamin, Shubhayan Sarkar
arXiv 16 Apr 2018 · physics.soc-ph
arXiv:1804.06465 · PDF · DOI · OpenAlex · Extracted main text
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 the game theory we calculate the Magnetisation 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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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | S. Sarkar and C. Benjamin, Emergence of Cooperation in the thermodyn… (1803) 10083 self | 1.000 | 6 | 3 | 100% |
| 2 | C. Adami and A. Hintze, Thermodynamics of Evolutionary Games, Phys.… (2018) | 0.926 | 29 | 5 | 79% |
| 3 | S. Galam and B. Walliser, Ising model versus normal form game, Physi… (2010) | 0.874 | 7 | 2 | 100% |
| 4 | S. B. Ale, J. S. Brown, A. T. Sullivan, Evolution of Cooperation: Co… (2013) | 0.511 | 5 | 2 | 20% |
| 5 | M. A. Nowak, A. Sasaki, C. Taylor, and D. Fudenberg, Emergence of co… (2004) | 0.405 | 1 | 1 | 100% |
| 6 | G. Szabo and I. Borsos, Evolutionary potential games on lattices, Ph… (2016) | 0.405 | 1 | 1 | 100% |
| 7 | Game Theory in Action: An Introduction to Classical and Evolutionary… (2016) | 0.405 | 1 | 1 | 100% |
| 8 | S. Salinas, Introduction to Statistical Physics, 1st Edition, Springer (2000) | 0.405 | 1 | 1 | 100% |
| 9 | C. Hauert and G. Szabo, Prisoner's dilemma and public goods games in… (2003) | 0.405 | 1 | 1 | 100% |
Showing the top 9 of 9 scored citations.