The Impact of Tribalism on Social Welfare

التفاصيل البيبلوغرافية
العنوان: The Impact of Tribalism on Social Welfare
المؤلفون: Han, Seunghee, Soloviev, Matvey, Wang, Yuwen
سنة النشر: 2019
المجموعة: Computer Science
مصطلحات موضوعية: Computer Science - Computer Science and Game Theory, Computer Science - Multiagent Systems, 91A43, 91A80
الوصف: We explore the impact of mutual altruism among the players belonging to the same set -- their tribe -- in a partition of all players in arbitrary strategic games upon the quality of equilibria attained. To this end, we introduce the notion of a {\tau}-tribal extension of an arbitrary strategic game, in which players' subjective cost functions are updated to reflect this, and the associated Price of Tribalism, which is the ratio of the social welfare of the worst Nash equilibrium of the tribal extension to that of the optimum of social welfare. We show that in a well-known game of friendship cliques, network contribution games as well as atomic linear congestion games, the Price of Tribalism is higher than the Price of Anarchy of either the purely selfish players or fully altruistic players (i.e. ones who seek to maximise the social welfare). This phenomenon is observed under a variety of equilibrium concepts. In each instance, we present upper bounds on the Price of Tribalism that match the lower bounds established by our example.
Comment: 21 pages, including references, figures and appendix. Short form of paper accepted for publication at SAGT 2019
نوع الوثيقة: Working Paper
الوصول الحر: http://arxiv.org/abs/1907.06862Test
رقم الانضمام: edsarx.1907.06862
قاعدة البيانات: arXiv