“…agents that cooperate in maximizing the overall profit of a cooperative joint venture). Following Bischi et al (2004) we compute the Cournot-Nash equilibrium harvesting strategy under the assumption that cooperators and competitors (also denoted as defectors) coexist, the population being subdivided into a fraction of agents that form a cooperative venture and maximize the total profit of the set of cooperators, and the complementary fraction that engage a Cournot competition by maximizing their individual profits. This generalizes the harvesting functions given by Bischi et al (2005) because the two extreme cases of 100% cooperators or 100% defectors are obtained as limiting cases.…”
“…agents that cooperate in maximizing the overall profit of a cooperative joint venture). Following Bischi et al (2004) we compute the Cournot-Nash equilibrium harvesting strategy under the assumption that cooperators and competitors (also denoted as defectors) coexist, the population being subdivided into a fraction of agents that form a cooperative venture and maximize the total profit of the set of cooperators, and the complementary fraction that engage a Cournot competition by maximizing their individual profits. This generalizes the harvesting functions given by Bischi et al (2005) because the two extreme cases of 100% cooperators or 100% defectors are obtained as limiting cases.…”
“…Following Bischi et al [59], we assume that cooperators always put in their fair share of the aggregate effort, ( ) ( )/ C e X E X N . Solving (5) and dividing by N, we have:…”
Section: Cooperation and Collapse When Agents Are Myopic And Dependenmentioning
10Real world observations suggest that social norms of cooperation can be effective in overcoming social dilemmas such as the joint management of a common pool resource -but also that they can be subject to slow erosion and sudden collapse. We show that these patterns of erosion and collapse emerge endogenously in a model of a closed community harvesting a renewable natural resource in which individual agents face the temptation to overexploit the resource, while a 15 cooperative harvesting norm spreads through the community via interpersonal relations. We analyze under what circumstances small changes in key parameters (including the size of the community, and the rate of technological progress) trigger catastrophic transitions from relatively high levels of cooperation to widespread norm violation -causing the social-ecological system to collapse. 20
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