We propose an analytical resolution of Schelling segregation model for a general class of utility functions. Using evolutionary game theory, we provide conditions under which a potential function, which characterizes the global configuration of the city and is maximized in the stationary state,...

In his 1971’s Dynamic Models of Segregation paper, the economist Thomas C. Schelling showed that a small preference for one’s neighbors to be of the same color could lead to total segregation, even if total segregation does not correspond to individual preferences and to a residential...

Local interactions refer to social and economic phenomena where individuals' choices are influenced by the choices of others who are close to them socially or geographically. This represents a fairly accurate picture of human experience. Furthermore, since local interactions imply particular...

Local interactions refer to social and economic phenomena where individuals' choices are influenced by the choices of others who are 'close' to them socially or geographically. This represents a fairly accurate picture of human experience. Furthermore, since local interactions imply particular...

This paper presents a Schelling-type checkerboard model of residential segregation formulated as a spatial game. It shows that although every agent prefers to live in a mixed-race neighborhood, complete segregation is observed almost all of the time. A concept of tipping is rigorously defined,...

This paper presents a Schelling-type checkerboard model of residential segregation formulated as a spatial game. It shows that although every agent prefers to live in a mixed-race neighborhood, complete segregation is observed almost all of the time. A concept of tipping is rigorously defined,...

Schelling (1969, 1971a,b, 1978) considered a simple model with individual agents who only care about the types of people living in their own local neighborhood. The spatial structure was represented by a one- or two-dimensional lattice. Schelling showed that an integrated society will generally...

Schelling (1969, 1971a,b, 1978) considered a simple proximity model of segregation where individual agents only care about the types of people living in their own local geographical neighborhood, the spatial structure being represented by one- or two-dimensional lattices. In this paper, we argue...

We provide a model in which small and relatively isolated communities can successfully manage local commons informally in circumstances where larger or less isolated communities could not do so. The reason for this is the non-anonymous nature of many interactions between the members of a small...

Global warming is an example of a global tragedy of the commons. The atmosphere is a global common property resource. The global nature of this resource makes global warming a particularly difficult problem to solve. The reason for this is that there is no world government that can introduce and...