Segregation versus assimilation in friendship networks with farsighted and myopic agents

We reconsider de Marti and Zenou (2017) model of friendship network formation where individuals belong to two dfferent communities. Benfits from direct and indirect connections decay with distance while costs of forming links depend on community memberships. Individuals are now either farsighted or myopic when deciding about the friendship links they want to form. When all individuals are myopic many inefficient friendship networks (e.g. complete segregation) can arise. When the larger (smaller) community is farsighted while the smaller (larger) community is myopic, the friendship network where the myopic community is assimilated into the farsighted community is the unique stable network when inter-community costs are large. In fact, farsightedness helps the society to avoid ending up segregated. Once inter-community costs are small enough, the complete integration network become stable. Finally, when all individuals are farsighted, the friendship network where the smaller community ends up being assimilated into the dominant community is likely to arise