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Individuals breed true according to their individual material payoffs, but the expected number of surviving offspring may depend on the material payoff vector to the whole group. We show that the mean-field equation for the induced population dynamic is equivalent to the replicator dynamic for a game with payoffs derived from those in the original game. We apply this selection dynamic to a number of examples, including prisoners' dilemma games, coordination games, hawk-dove games, a prisoners' dilemma with a punishment option, and common-pool games. For each of these, we provide conditions under which our selection dynamic leads to other outcomes than those obtained under the usual replicator dynamic. By way of a revealedpreference argument, we show how our selection dynamic can explain certain stable behaviors that are consistent with individuals having social preferences.","publication_date":"2005,,","grobid_abstract_attachment_id":"48617725"},"document_type":"paper","pre_hit_view_count_baseline":null,"quality":"high","language":"en","title":"Natural selection and social preferences","broadcastable":true,"draft":null,"has_indexable_attachment":true,"indexable":true}}["work"]; window.loswp.workCoauthors = [12059252]; window.loswp.locale = "en"; window.loswp.countryCode = "SG"; window.loswp.cwvAbTestBucket = ""; window.loswp.designVariant = "ds_vanilla"; window.loswp.fullPageMobileSutdModalVariant = "full_page_mobile_sutd_modal"; window.loswp.useOptimizedScribd4genScript = false; window.loswp.appleClientId = 'edu.academia.applesignon';</script><script defer="" src="https://accounts.google.com/gsi/client"></script><div class="ds-loswp-container"><div 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class="ds-work-cover--ribbon-container">Download Free PDF</div><div class="ds-work-cover--ribbon-triangle"></div></button></div></div></div><div class="ds-work-card--work-information"><h1 class="ds-work-card--work-title">Natural selection and social preferences</h1><div class="ds-work-card--work-authors ds-work-card--detail"><a class="ds-work-card--author js-wsj-grid-card-author ds2-5-body-md ds2-5-body-link" data-author-id="12059252" href="https://hhs.academia.edu/MarcusSalomonsson"><img alt="Profile image of Marcus Salomonsson" class="ds-work-card--author-avatar" src="https://0.academia-photos.com/12059252/8125540/9094991/s65_marcus.salomonsson.jpg_oh_b70a80007c69debd97dec8620fdfa492_oe_55b1fc79___gda___1436920703_08c4fb27b02e4469d5a836f357fc2476" />Marcus Salomonsson</a></div><div class="ds-work-card--detail"><p class="ds-work-card--detail ds2-5-body-sm">2005</p></div><div class="ds-work-card--button-container"><button class="ds2-5-button js-swp-download-button" 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class="ds-top-related-works--grid-container"><div class="ds-related-content--container ds-top-related-works--container"><h2 class="ds-related-content--heading">Related papers</h2><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="0" data-entity-id="7053972" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/7053972/Group_selection_and_social_preferences">Group selection and social preferences</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="12059252" href="https://hhs.academia.edu/MarcusSalomonsson">Marcus Salomonsson</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2005</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Group selection 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href="https://www.academia.edu/91971634/The_replicator_dynamics_for_multilevel_selection_in_evolutionary_games">The replicator dynamics for multilevel selection in evolutionary games</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="2154420" href="https://harvard.academia.edu/DanielCooney">Daniel Cooney</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Journal of Mathematical Biology, 2019</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"The replicator dynamics for multilevel selection in evolutionary games","attachmentId":95107487,"attachmentType":"pdf","work_url":"https://www.academia.edu/91971634/The_replicator_dynamics_for_multilevel_selection_in_evolutionary_games","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/91971634/The_replicator_dynamics_for_multilevel_selection_in_evolutionary_games"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="2" data-entity-id="511259" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/511259/Social_preferences_in_the_prisoners_dilemma_game_An_evolutionary_analysis">Social preferences in the prisoner's dilemma game: An evolutionary analysis</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="389387" href="https://eastanglia.academia.edu/APoulsen">Anders Poulsen</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Aarhus School of Business, 2002</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Social preferences in the prisoner's dilemma game: An evolutionary analysis","attachmentId":3457681,"attachmentType":"pdf","work_url":"https://www.academia.edu/511259/Social_preferences_in_the_prisoners_dilemma_game_An_evolutionary_analysis","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/511259/Social_preferences_in_the_prisoners_dilemma_game_An_evolutionary_analysis"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="3" data-entity-id="77085136" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/77085136/Equilibrium_selection_in_evolutionary_games_with_random_matching_of_players">Equilibrium selection in evolutionary games with random matching of players</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="35356622" href="https://independent.academia.edu/JacekMiekisz">Jacek Miekisz</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2004</p><p class="ds-related-work--abstract ds2-5-body-sm">We discuss stochastic dynamics of populations of individuals playing games. Our models possess two evolutionarily stable strategies: an efficient one, where a population is in a state with the maximal payoff (fitness) and a risk-dominant one, where players are averse to risks. We assume that individuals play with randomly chosen opponents (they do not play against average strategies as in the standard replicator dynamics). We show that the long-run behavior of a population depends on its size and the mutation level.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Equilibrium selection in evolutionary games with random matching of players","attachmentId":84550113,"attachmentType":"pdf","work_url":"https://www.academia.edu/77085136/Equilibrium_selection_in_evolutionary_games_with_random_matching_of_players","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/77085136/Equilibrium_selection_in_evolutionary_games_with_random_matching_of_players"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="4" data-entity-id="33479223" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/33479223/Distinguishing_the_opponents_in_the_prisoner_dilemma_in_well_mixed_populations">Distinguishing the opponents in the prisoner dilemma in well-mixed populations</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="43272958" href="https://ufmg.academia.edu/JaffersonDaSilva">Jafferson Da Silva</a></div><p class="ds-related-work--abstract ds2-5-body-sm">Here we study the effects of adopting different strategies against different opponent instead of adopting the same strategy against all of them in the prisoner dilemma structured in well-mixed populations. We consider an evolutionary process in which strategies that provide reproductive success are imitated and players replace one of their worst interactions by the new one. We set individuals in a well-mixed population so that network reciprocity effect is excluded and we analyze both synchronous and asynchronous updates. As a consequence of the replacement rule, we show that mutual cooperation is never destroyed and the initial fraction of mutual cooperation is a lower bound for the level of cooperation. We show by simulation and mean-field analysis that for synchronous update cooperation dominates while for asynchronous update only cooperations associated to the initial mutual cooperations are maintained. As a side effect of the replacement rule, an &quot;implicit punishment&quot;...</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Distinguishing the opponents in the prisoner dilemma in well-mixed populations","attachmentId":53521919,"attachmentType":"pdf","work_url":"https://www.academia.edu/33479223/Distinguishing_the_opponents_in_the_prisoner_dilemma_in_well_mixed_populations","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/33479223/Distinguishing_the_opponents_in_the_prisoner_dilemma_in_well_mixed_populations"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="5" data-entity-id="61163883" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/61163883/Comment_on_stochastic_dynamics_of_the_prisoners_dilemma_with_cooperation_facilitators">Comment on "stochastic dynamics of the prisoner's dilemma with cooperation facilitators</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="35356622" href="https://independent.academia.edu/JacekMiekisz">Jacek Miekisz</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2013</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Comment on \"stochastic dynamics of the prisoner's dilemma with cooperation facilitators","attachmentId":74296175,"attachmentType":"pdf","work_url":"https://www.academia.edu/61163883/Comment_on_stochastic_dynamics_of_the_prisoners_dilemma_with_cooperation_facilitators","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/61163883/Comment_on_stochastic_dynamics_of_the_prisoners_dilemma_with_cooperation_facilitators"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="6" data-entity-id="5655337" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/5655337/How_selection_pressure_changes_the_nature_of_social_dilemmas_in_structured_populations">How selection pressure changes the nature of social dilemmas in structured populations</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="8141012" href="https://independent.academia.edu/FranciscoPinheiroSantos">Francisco Pinheiro Santos</a></div><p class="ds-related-work--metadata ds2-5-body-xs">New Journal of Physics, 2012</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"How selection pressure changes the nature of social dilemmas in structured populations","attachmentId":49195284,"attachmentType":"pdf","work_url":"https://www.academia.edu/5655337/How_selection_pressure_changes_the_nature_of_social_dilemmas_in_structured_populations","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/5655337/How_selection_pressure_changes_the_nature_of_social_dilemmas_in_structured_populations"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="7" data-entity-id="50994586" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/50994586/Statistics_of_the_number_of_equilibria_in_random_social_dilemma_evolutionary_games_with_mutation">Statistics of the number of equilibria in random social dilemma evolutionary games with mutation</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="883505" href="https://tees.academia.edu/TheAnhHan">The Anh Han</a></div><p class="ds-related-work--metadata ds2-5-body-xs">European Physical journal , 2021</p><p class="ds-related-work--abstract ds2-5-body-sm">In this paper, we study analytically the statistics of the number of equilibria in pairwise social dilemma evolutionary games with mutation where a game's payoff entries are random variables. Using the replicator-mutator equations, we provide explicit formulas for the probability distributions of the number of equilibria as well as other statistical quantities. This analysis is highly relevant assuming that one might know the nature of a social dilemma game at hand (e.g., cooperation vs coordination vs anticoordination), but measuring the exact values of its payoff entries is difficult. Our delicate analysis shows clearly the influence of the mutation probability on these probability distributions, providing insights into how varying this important factor impacts the overall behavioural or biological diversity of the underlying evolutionary systems.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Statistics of the number of equilibria in random social dilemma evolutionary games with mutation","attachmentId":68865739,"attachmentType":"pdf","work_url":"https://www.academia.edu/50994586/Statistics_of_the_number_of_equilibria_in_random_social_dilemma_evolutionary_games_with_mutation","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/50994586/Statistics_of_the_number_of_equilibria_in_random_social_dilemma_evolutionary_games_with_mutation"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="8" data-entity-id="511266" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/511266/Prisoners_Dilemma_payoffs_and_the_evolution_of_co_operative_preferences">Prisoner's Dilemma payoffs and the evolution of co-operative preferences</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="389387" href="https://eastanglia.academia.edu/APoulsen">Anders Poulsen</a></div><p class="ds-related-work--metadata 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