High Cost of Survival Promotes the Evolution of Cooperation

Living organisms expend energy to sustain survival, a process which is reliant on consuming resources—termed here as the “cost of survival”. In the Prisoner’s Dilemma (PD), a classic model of social interaction, individual payoffs depend on choices to either provide benefits to others at a personal...

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Main Author: Oleg Smirnov
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Games
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Online Access:https://www.mdpi.com/2073-4336/16/1/4
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author Oleg Smirnov
author_facet Oleg Smirnov
author_sort Oleg Smirnov
collection DOAJ
description Living organisms expend energy to sustain survival, a process which is reliant on consuming resources—termed here as the “cost of survival”. In the Prisoner’s Dilemma (PD), a classic model of social interaction, individual payoffs depend on choices to either provide benefits to others at a personal cost (cooperate) or exploit others to maximize personal gain (defect). We demonstrate that in an iterated Prisoner’s Dilemma (IPD), a simple “Always Cooperate” (ALLC) strategy evolves and remains evolutionarily stable when the cost of survival is sufficiently high, meaning exploited cooperators have a low probability of survival. We derive a rule for the evolutionary stability of cooperation, <b><i>x/z ></i></b><i>T/R</i>, where <i>x</i> represents the duration of mutual cooperation, <i>z</i> the duration of exploitation, <i>T</i> the defector’s free-riding payoff, and <i>R</i> the payoff for mutual cooperation. This finding suggests that higher survival costs can enhance social welfare by selecting for cooperative strategies.
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spelling doaj-art-b5e18e69605744e79014841b624aaa172025-08-20T03:12:05ZengMDPI AGGames2073-43362025-01-01161410.3390/g16010004High Cost of Survival Promotes the Evolution of CooperationOleg Smirnov0Department of Political Science, Stony Brook University, Stony Brook, NY 11794, USALiving organisms expend energy to sustain survival, a process which is reliant on consuming resources—termed here as the “cost of survival”. In the Prisoner’s Dilemma (PD), a classic model of social interaction, individual payoffs depend on choices to either provide benefits to others at a personal cost (cooperate) or exploit others to maximize personal gain (defect). We demonstrate that in an iterated Prisoner’s Dilemma (IPD), a simple “Always Cooperate” (ALLC) strategy evolves and remains evolutionarily stable when the cost of survival is sufficiently high, meaning exploited cooperators have a low probability of survival. We derive a rule for the evolutionary stability of cooperation, <b><i>x/z ></i></b><i>T/R</i>, where <i>x</i> represents the duration of mutual cooperation, <i>z</i> the duration of exploitation, <i>T</i> the defector’s free-riding payoff, and <i>R</i> the payoff for mutual cooperation. This finding suggests that higher survival costs can enhance social welfare by selecting for cooperative strategies.https://www.mdpi.com/2073-4336/16/1/4evolution of cooperationprisoner’s dilemmaaltruismsurvivalreciprocity
spellingShingle Oleg Smirnov
High Cost of Survival Promotes the Evolution of Cooperation
Games
evolution of cooperation
prisoner’s dilemma
altruism
survival
reciprocity
title High Cost of Survival Promotes the Evolution of Cooperation
title_full High Cost of Survival Promotes the Evolution of Cooperation
title_fullStr High Cost of Survival Promotes the Evolution of Cooperation
title_full_unstemmed High Cost of Survival Promotes the Evolution of Cooperation
title_short High Cost of Survival Promotes the Evolution of Cooperation
title_sort high cost of survival promotes the evolution of cooperation
topic evolution of cooperation
prisoner’s dilemma
altruism
survival
reciprocity
url https://www.mdpi.com/2073-4336/16/1/4
work_keys_str_mv AT olegsmirnov highcostofsurvivalpromotestheevolutionofcooperation