2,345 research outputs found
Statistical physics of the Schelling model of segregation
We investigate the static and dynamic properties of a celebrated model of
social segregation, providing a complete explanation of the mechanisms leading
to segregation both in one- and two-dimensional systems. Standard statistical
physics methods shed light on the rich phenomenology of this simple model,
exhibiting static phase transitions typical of kinetic constrained models,
nontrivial coarsening like in driven-particle systems and percolation-related
phenomena.Comment: 4 pages, 3 figure
A unified framework for Schelling's model of segregation
Schelling's model of segregation is one of the first and most influential
models in the field of social simulation. There are many variations of the
model which have been proposed and simulated over the last forty years, though
the present state of the literature on the subject is somewhat fragmented and
lacking comprehensive analytical treatments. In this article a unified
mathematical framework for Schelling's model and its many variants is
developed. This methodology is useful in two regards: firstly, it provides a
tool with which to understand the differences observed between models;
secondly, phenomena which appear in several model variations may be understood
in more depth through analytic studies of simpler versions.Comment: 21 pages, 3 figure
MODELLING SEGREGATION THROUGH CELLULAR AUTOMATA: A THEORETICAL ANSWER
This paper is a note in which we prove that Cellular Automata are suitable tools to model multi-agent interactive procedures. In particular, we apply the argument to validate results from simulation tools obtained for the classical model of segregation of Thomas Schelling (1971a).Cellular Automata, segregation, local information
A Spatially Extended Model for Residential Segregation
In this paper we analyze urban spatial segregation phenomenon in terms of the
income distribution over a population, and inflationary parameter weighting the
evolution of housing prices. For this, we develop a discrete, spatially
extended model based in a multi--agent approach. In our model, the mobility of
socioeconomic agents is driven only by the housing prices. Agents exchange
location in order to fit their status to the cost of their housing. On the
other hand, the price of a particular house changes depends on the status of
its tenant, and on the neighborhood mean lodging cost, weighted by a control
parameter. The agent's dynamics converges to a spatially organized
configuration, whose regularity we measured by using an entropy--like
indicator. With this simple model we found a nontrivial dependence of
segregation on both, the initial inequality of the socioeconomic agents and the
inflationary parameter. In this way we supply an explanatory model for the
segregation--inequality thesis putted forward by Douglas Massey.Comment: 17 pages, 11 figures. email: [email protected],
[email protected]
Schelling's Spatial Proximity Model of Segregation Revisited
Schelling [1969, 1971a, 1971b, 1978] presented a microeconomic model showing how an integrated city could unravel to a rather segregated city, notwithstanding relatively mild assumptions concerning the individual agents' preferences, i.e., no agent preferring the resulting segregation. We examine the robustness of Schelling's model, focusing in particular on its driving force: the individual preferences. We show that even if all individual agents have a strict preference for perfect integration, best-response dynamics will lead to segregation. What is more, we argue that the one-dimensional and two-dimensional versions of Schelling's spatial proximity model are in fact two qualitatively very different models of segregation.Neighborhood segregation, Myopic Nash Equilibria, Best-response dynamics, Markov chain, Limit-behavior.
Self-organized Segregation on the Grid
We consider an agent-based model in which two types of agents interact
locally over a graph and have a common intolerance threshold for
changing their types with exponentially distributed waiting times. The model is
equivalent to an unperturbed Schelling model of self-organized segregation, an
Asynchronous Cellular Automata (ACA) with extended Moore neighborhoods, or a
zero-temperature Ising model with Glauber dynamics, and has applications in the
analysis of social and biological networks, and spin glasses systems. Some
rigorous results were recently obtained in the theoretical computer science
literature, and this work provides several extensions. We enlarge the
intolerance interval leading to the formation of large segregated regions of
agents of a single type from the known size to size . Namely, we show that for (and by symmetry
), the expected size of the largest segregated region
containing an arbitrary agent is exponential in the size of the neighborhood.
We further extend the interval leading to large segregated regions to size
considering "almost segregated" regions, namely regions where
the ratio of the number of agents of one type and the number of agents of the
other type vanishes quickly as the size of the neighborhood grows. In this
case, we show that for (and by symmetry for ) the expected size of the largest almost segregated region
containing an arbitrary agent is exponential in the size of the neighborhood.
The exponential bounds that we provide also imply that complete segregation,
where agents of a single type cover the whole grid, does not occur with high
probability for and the range of tolerance considered
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