Literature DB >> 31468117

Conditional rehabilitation of cooperation under strategic uncertainty.

Arnaud Z Dragicevic1,2.   

Abstract

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.

Keywords:  Bioeconomics; Evolutionary game theory; Price equation; Strategic uncertainty; Tragedy of the commons; Tropical forest management

Year:  2019        PMID: 31468117     DOI: 10.1007/s00285-019-01417-5

Source DB:  PubMed          Journal:  J Math Biol        ISSN: 0303-6812            Impact factor:   2.259


  33 in total

1.  Revisiting the commons: local lessons, global challenges.

Authors:  E Ostrom; J Burger; C B Field; R B Norgaard; D Policansky
Journal:  Science       Date:  1999-04-09       Impact factor: 47.728

2.  Unifying evolutionary dynamics.

Authors:  Karen M Page; Martin A Nowak
Journal:  J Theor Biol       Date:  2002-11-07       Impact factor: 2.691

3.  Coupled replicator equations for the dynamics of learning in multiagent systems.

Authors:  Yuzuru Sato; James P Crutchfield
Journal:  Phys Rev E Stat Nonlin Soft Matter Phys       Date:  2003-01-31

4.  The evolution of n-player cooperation-threshold games and ESS bifurcations.

Authors:  L A Bach; T Helvik; F B Christiansen
Journal:  J Theor Biol       Date:  2005-07-20       Impact factor: 2.691

Review 5.  Using the Price Equation to partition the effects of biodiversity loss on ecosystem function.

Authors:  Jeremy W Fox
Journal:  Ecology       Date:  2006-11       Impact factor: 5.499

6.  Social diversity promotes the emergence of cooperation in public goods games.

Authors:  Francisco C Santos; Marta D Santos; Jorge M Pacheco
Journal:  Nature       Date:  2008-07-10       Impact factor: 49.962

7.  Integrating physiological, ecological and evolutionary change: a Price equation approach.

Authors:  Sinéad Collins; Andy Gardner
Journal:  Ecol Lett       Date:  2009-08       Impact factor: 9.492

8.  Mutation rate evolution in replicator dynamics.

Authors:  Benjamin Allen; Daniel I Scholes Rosenbloom
Journal:  Bull Math Biol       Date:  2012-09-01       Impact factor: 1.758

9.  Calculating second derivatives of population growth rates for ecology and evolution.

Authors:  Esther Shyu; Hal Caswell
Journal:  Methods Ecol Evol       Date:  2014-05-19       Impact factor: 7.781

10.  Editorial: From Is to Ought: The Place of Normative Models in the Study of Human Thought.

Authors:  Shira Elqayam; David E Over
Journal:  Front Psychol       Date:  2016-04-28
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