Conditional rehabilitation of cooperation under strategic uncertainty. (English) Zbl 1426.91033

Dragicevic, Arnaud Z.

J. Math. Biol. 79, No. 5, 1973-2003 (2019).

Summary: In order to address the topic of the tragedy of the commons, more specifically that of tropical forest ecosystems explored as common-pool resources endowed with public-good features and exposed to deforestation risks, we consider game-theoretic population dynamics contingent on various differential equations. We propose an evolutionary model handed down to the Price theorem of selection. In a set of model-players evolving in strategic uncertainty and subject to certain mutation toward cooperation, the Price equation evens out unstructured and structured population replicator dynamics. According to the model outputs, avoiding the tragedy of the commons can be achieved on condition that half of the population temporarily exhibits a cooperative behavior. Furthermore, cooperative model-players ought to be rewarded at a level equivalent to the joint selection of cooperators and competitors issued from the unifying Price identity.

MSC:

91A22	Evolutionary games
91B76	Environmental economics (natural resource models, harvesting, pollution, etc.)
92D25	Population dynamics (general)

Keywords:

bioeconomics; evolutionary game theory; price equation; strategic uncertainty; tragedy of the commons; tropical forest management

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