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Related papers: Continuous utility factor in segregation models

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We introduce a utility-driven bounded-confidence model of opinion dynamics in which opinions associated with higher utility exert stronger social influence. In the regime where all agents belong to a single opinion cluster, we derive a…

Adaptation and Self-Organizing Systems · Physics 2026-05-22 Alex Siebenmorgen , Juan G. Restrepo

We study clustering in a stochastic system of particles sliding down a fluctuating surface in one and two dimensions. In steady state, the density-density correlation function is a scaling function of separation and system size.This scaling…

Statistical Mechanics · Physics 2009-11-13 Mustansir Barma

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…

Physics and Society · Physics 2015-03-19 Tim Rogers , Alan J. McKane

In the general framework of a semimartingale financial model and a utility function $U$ defined on the positive real line, we compute the first-order expansion of marginal utility-based prices with respect to a ``small'' number of random…

Probability · Mathematics 2008-12-10 Dmitry Kramkov , Mihai S\^{ı}rbu

A model of the urban agglomeration and segregation is formulated, in which two types of agents move around on the square-lattice aligned cells. The model is shown to exhibit, when the density of agents are varied as the control parameter,…

Physics and Society · Physics 2023-07-24 Taksu Cheon , Michikazu Kobayashi

This paper presents a model of capital accumulation for a large number of heterogenous producer-consumers in an exchange space in which interactions depend on agents' positions. Each agent is described by his production, consumption, stock…

General Finance · Quantitative Finance 2019-09-26 Pierre Gosselin , Aïleen Lotz , Marc Wambst

Orseau and Ring, as well as Dewey, have recently described problems, including self-delusion, with the behavior of agents using various definitions of utility functions. An agent's utility function is defined in terms of the agent's history…

Artificial Intelligence · Computer Science 2012-05-15 Bill Hibbard

This paper studies a one-sector optimal growth model with i.i.d. productivity shocks that are allowed to be unbounded. The utility function is assumed to be non-negative and unbounded from above. The novel feature in our framework is that…

Economics · Quantitative Finance 2021-07-21 Nicole Bäuerle , Anna Jaśkiewicz

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…

Physics and Society · Physics 2009-07-13 S. Grauwin , F. Goffette-Nagot , P. Jensen

We investigate in detail a recent model of colliding mobile agents [Phys. Rev. Lett.~96, 088702], used as an alternative approach to construct evolving networks of interactions formed by the collisions governed by suitable dynamical rules.…

Physics and Society · Physics 2013-01-01 Marta C. González , Pedro G. Lind , Hans J. Herrmann

We present extensive results from 2-dimensional simulations of phase separation kinetics in a model with order-parameter dependent mobility. We find that the time-dependent structure factor exhibits dynamical scaling and the scaling…

Condensed Matter · Physics 2009-10-30 Sanjay Puri , Alan Bray , Joel Lebowitz

We study the effect of introducing altruistic agents in a Schelling-like model of residential segregation. We find that even an infinitesimal proportion of altruists has dramatic catalytic effects on the collective utility of the system.…

Physics and Society · Physics 2018-05-23 P. Jensen , T. Matreux , J. Cambe , H. Larralde , E. Bertin

A version of the Schelling model on $\mathbb{Z}$ is defined, where two types of agents are allocated on the sites. An agent prefers to be surrounded by other agents of its own type, and may choose to move if this is not the case. It then…

Probability · Mathematics 2019-06-21 Maria Deijfen , Timo Hirscher

We propose a model of mobile agents to construct social networks, based on a system of moving particles by keeping track of the collisions during their permanence in the system. We reproduce not only the degree distribution, clustering…

Physics and Society · Physics 2009-11-11 M. C. Gonzalez , P. G. Lind , H. J. Herrmann

We consider the discretized Bachelier model where hedging is done on an equidistant set of times. Exponential utility indifference prices are studied for path-dependent European options and we compute their non-trivial scaling limit for a…

Probability · Mathematics 2022-03-03 Asaf Cohen , Yan Dolinsky

The distribution of facilities is closely related to our social economic activities. Recent studies have reported a scaling relation between population and facility density with the exponent depending on the type of facility. In this paper,…

Physics and Society · Physics 2012-12-05 J. H. Qian , C. H. Yang , D. D. Han , Y. G. Ma

One of the longstanding goals in the framework of inflation is the construction of tools that can be used to classify models in theory space. An idea that has been put forward in this context is to consider the energy dependent scaling…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-21 Monika Lynker , Rolf Schimmrigk

We take the classic facility location problem and consider a variation, in which each agent's individual cost function is equal to their distance from the facility multiplied by a scaling factor which is determined by the facility…

Computer Science and Game Theory · Computer Science 2024-12-06 Yu He , Alexander Lam , Minming Li

We explore the intriguing effects of underlying star topological structure in the framework of Schelling's segregation model with blocks. The significant consequences exerted by the star topology are both theoretically analysed and…

Physics and Society · Physics 2020-08-05 Guifeng Su , Qi Xiong , Yi Zhang

A commonly used characteristic of statistical dependence of adjacency relations in real networks, the clustering coefficient, evaluates chances that two neighbours of a given vertex are adjacent. An extension is obtained by considering…

Applications · Statistics 2013-04-29 Mindaugas Bloznelis , Valentas Kurauskas