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We study incentive design when multiple principals simultaneously design mechanisms for their respective teams in environments with strategic spillovers. In this environment, each principal's set of incentive-compatible mechanisms--those…

Theoretical Economics · Economics 2026-05-11 Brian Roberson

This study proposes a novel approach based on the Ising model for analyzing socio-economic emerging patterns between municipalities by investigating the observed configuration of a network of selected territorial units which are classified…

Methodology · Statistics 2025-10-07 Pierpaolo Massoli

Thomas Schelling proposed an influential simple spatial model to illustrate how, even with relatively mild assumptions on each individual's nearest neighbor preferences, an integrated city would likely unravel to a segregated city, even if…

Adaptation and Self-Organizing Systems · Physics 2007-11-15 Abhinav Singh , Dmitri Vainchtein , Howard Weiss

An economy, large or small, has traditionally been defined in terms of an explicit set of agents and an assignment of characteristics to each agent. But when individual agents are negligible, most economically relevant properties of an…

Theoretical Economics · Economics 2026-04-29 Michael Greinecker , Konrad Podczeck

We concentrate our study on a recent process algebra - PALOMA - intended to capture interactions between spatially distributed agents, for example in collective adaptive systems. New agent-based semantic rules for deriving the underlying…

Logic in Computer Science · Computer Science 2016-07-11 Paul Piho , Jane Hillston

An array system of coupled maps is proposed as a model for economy evolution. The local dynamics of each map or agent is controlled by two parameters. One of them represents the growth capacity of the agent and the other one is a control…

Adaptation and Self-Organizing Systems · Physics 2008-12-02 J. R. Sanchez , R. Lopez-Ruiz

This report surveys results on distributed systems comprising mobile agents that are identical and anonymous, oblivious and interact solely by adjusting their motion according to the relative location of their neighbours. The agents are…

Multiagent Systems · Computer Science 2019-02-06 Ariel Barel , Rotem Manor , Alfred M. Bruckstein

The long-term dynamics of the geostationary Earth orbits (GEO) is revisited through the application of canonical perturbation theory. We consider a Hamiltonian model accounting for all major perturbations: geopotential at order and degree…

Earth and Planetary Astrophysics · Physics 2017-01-02 Fabien Gachet , Alessandra Celletti , Giuseppe Pucacco , Christos Efthymiopoulos

We consider a monopolistic seller in a market that may be segmented. The surplus of each consumer in a segment depends on the price that the seller optimally charges, which depends on the set of consumers in the segment. We study which…

Theoretical Economics · Economics 2022-10-25 Nima Haghpanah , Ron Siegel

It is shown that the structure of general equilibrium incomplete market models is intrinsically self-consistent and time-interlaced, with mean field interactions that are only implicit and also endogenous. Novel mathematical tools that can…

General Economics · Economics 2025-05-02 Andrew Lyasoff

This paper considers the ideal gas-like model of trading markets, where each individual is identified as a gas molecule that interacts with others trading in elastic or money-conservative collisions. Traditionally this model introduces…

General Finance · Quantitative Finance 2009-06-13 Carmen Pellicer-Lostao , Ricardo Lopez-Ruiz

We introduce a model in which city populations grow at rates proportional to the area of their "sphere of influence", where the influence of a city depends on its population (to power \alpha) and distance from city (to power -\beta) and…

Physics and Society · Physics 2012-09-25 David Aldous , Bowen Huang

This paper addresses the problem of collaboratively satisfying long-term spatial constraints in multi-agent systems. Each agent is subject to spatial constraints, expressed as inequalities, which may depend on the positions of other agents…

Systems and Control · Electrical Eng. & Systems 2026-03-23 Farhad Mehdifar , Mani H. Dhullipalla , Charalampos P. Bechlioulis , Dimos V. Dimarogonas

Generative model ecosystems increasingly operate as competitive multi-platform markets, where platforms strategically select models from a shared pool and users with heterogeneous preferences choose among them. Understanding how platforms…

Computer Science and Game Theory · Computer Science 2026-02-23 Xiukun Wei , Min Shi , Xueru Zhang

This essay discusses the advantages of a probabilistic agent-based approach to questions in theoretical economics, from the nature of economic agents, to the nature of the equilibria supported by their interactions. One idea we propose is…

General Finance · Quantitative Finance 2013-11-05 Ted Theodosopoulos

In the simplest game-theoretic formulation of Schelling's model of segregation on graphs, agents of two different types each select their own vertex in a given graph so as to maximize the fraction of agents of their type in their occupied…

Computer Science and Game Theory · Computer Science 2022-03-31 Luca Kreisel , Niclas Boehmer , Vincent Froese , Rolf Niedermeier

In Schelling's segregation model, the successive moves of agents optimizing their own locations lead to a suboptimal segregated distribution of the population, even though all agents have the same preference for mixed neighborhoods. One of…

Physics and Society · Physics 2019-11-20 Nicolas Houy

Understanding and potentially predicting or even controlling urban labour markets represents a great challenge for workers and policy makers alike. Cities are effective engines of economic growth and prosperity and incubate complex dynamics…

Physics and Society · Physics 2022-02-28 Xiangnan Feng , Alex Rutherford

We explore how to build a vector field from the various functions involved in a given mathematical program, and show that locally-stable equilibria of the underlying dynamical system are precisely the local solutions of the optimization…

Optimization and Control · Mathematics 2017-06-09 Pablo Pedregal

An agent-based model of the economy is generalized to incorporate investment and guaranteed income mechanisms in addition to the exchange and distribution mechanisms considered in earlier models. We find realistic wealth distributions and…

Statistical Mechanics · Physics 2026-01-23 Jan Tobochnik , Harvey Gould , William Klein
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