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Updated: Jul 19, 2025

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Published on: September 19, 2017
Stable cooperation emerges in stochastic multiplicative growth.
Lorenzo Fant1,2, Onofrio Mazzarisi3, Emanuele Panizon4
1International School for Advanced Studies (SISSA), Via Bonomea 265, 34136 Trieste, Italy.
Cooperation can emerge and remain stable even with environmental fluctuations. Sharing resources as a public good benefits individuals by mitigating risks from unpredictable changes, especially over long periods.
Area of Science:
- Evolutionary biology
- Game theory
- Behavioral economics
Background:
- Cooperation is crucial across many disciplines, but its stability against exploitation remains a challenge.
- Few mechanisms ensure cooperation's robustness to cheating and environmental variability.
Purpose of the Study:
- To introduce a novel mechanism for cooperation's emergence and stability.
- To investigate cooperation under stochastic wealth fluctuations and long-time horizons.
Main Methods:
- Agent-based modeling with stochastic multiplicative wealth changes.
- Analysis of resource sharing as a public good.
- Examination of individual-level benefits under fluctuating environments.
Main Results:
- Cooperation emerges and is evolutionarily stable despite environmental fluctuations.
- Sharing resources as a public good provides individual advantages.
- Long-time horizons amplify the benefits of cooperation in screening against environmental risks.
Conclusions:
- Environmental fluctuations do not preclude cooperation; they can even promote it.
- Cooperation offers an adaptive strategy for individuals facing stochasticity.
- This mechanism provides a new perspective on the stability of cooperation in diverse systems.
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