Spatial Interactions and Oscillatory Tragedies of the Commons

A tragedy of the commons (TOC) occurs when individuals acting in their own self-interest deplete commonly held resources, leading to a worse outcome than had they cooperated. Over time, the depletion of resources can change incentives for subsequent actions. Here, we investigate long-term feedback b...

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Published inPhysical review letters Vol. 122; no. 14; p. 148102
Main Authors Lin, Yu-Hui, Weitz, Joshua S
Format Journal Article
LanguageEnglish
Published United States 12.04.2019
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Abstract A tragedy of the commons (TOC) occurs when individuals acting in their own self-interest deplete commonly held resources, leading to a worse outcome than had they cooperated. Over time, the depletion of resources can change incentives for subsequent actions. Here, we investigate long-term feedback between game and environment across a continuum of incentives in an individual-based framework. We identify payoff-dependent transition rules that lead to oscillatory TOCs in stochastic simulations and the mean field limit. Further extending the stochastic model, we find that spatially explicit interactions can lead to emergent, localized dynamics, including the propagation of cooperative wave fronts and cluster formation of both social context and resources. These dynamics suggest new mechanisms underlying how TOCs arise and how they might be averted.
AbstractList A tragedy of the commons (TOC) occurs when individuals acting in their own self-interest deplete commonly held resources, leading to a worse outcome than had they cooperated. Over time, the depletion of resources can change incentives for subsequent actions. Here, we investigate long-term feedback between game and environment across a continuum of incentives in an individual-based framework. We identify payoff-dependent transition rules that lead to oscillatory TOCs in stochastic simulations and the mean field limit. Further extending the stochastic model, we find that spatially explicit interactions can lead to emergent, localized dynamics, including the propagation of cooperative wave fronts and cluster formation of both social context and resources. These dynamics suggest new mechanisms underlying how TOCs arise and how they might be averted.
Author Lin, Yu-Hui
Weitz, Joshua S
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  organization: School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332, USA
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  givenname: Joshua S
  surname: Weitz
  fullname: Weitz, Joshua S
  organization: School of Biological Sciences, Georgia Institute of Technology, Atlanta, Georgia 30332, USA
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