{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/status-hierarchy-and-group-cooperation-a","title":"Status hierarchy and group cooperation: A generalized model","arxiv_id":"2004.00944","date":"2020-08-17","proceeding":null,"authors":[],"abstract":"In a refreshing mathematical investigation, Mark (2018) shows that status\nhierarchy may facilitate the emergence of cooperation in groups. Despite the\ncontribution, the present paper notes that there are limitations in Mark's\nmodel that makes it less realistic than it could in explaining real-world\nexperiences. Consequently, we present a more generalized modified framework in\nwhich his model is a special case, by developing and introducing a new\nhierarchy measure into the model to estimate the cooperation level in a set of\nhierarchical structures omitted in Mark's work yet common in everyday\nlife--those with multiple leaders. We derived the conditions under which\ncooperation can emerge in these groups, and verified our analytical predictions\nin agent-based computer simulations. In so doing, not only does our model\nelaborate on its predecessor and support Mark's general prediction. For theory,\nour work further reveals two novel phenomena of group cooperation: Both the\nrelative number of cooperators to defectors in groups and the assortativity\namong these different roles can backfire; they are not always the higher, the\nbetter for cooperation to thrive. For methodology, the hierarchy measure\ndeveloped and our model using the measure may also be applied in future\nresearch on a wide range of related topics.","url_abs":"http://arxiv.org/abs/2004.00944v3","url_pdf":"http://arxiv.org/pdf/2004.00944v3.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"abstracts"},"code_links":[{"paper_slug":"status-hierarchy-and-group-cooperation-a","repo_url":"https://github.com/waynelee1217/status_cooperation","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}