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We review recent results on the dynamics of social networks which suggest that the interplay between the network formation process and volatility may lead to the occurrence of discontinuous phase transitions and phase coexistence in a large…

Physics and Society · Physics 2009-11-11 George C. M. A. Ehrhardt , Matteo Marsili , Fernando Vega-Redondo

In this paper, we study which data can be induced by a correlated equilibrium given a known finite simultaneous move game. We assume that an analyst has access to the frequency of each agent's actions but does not have access to the…

Theoretical Economics · Economics 2026-03-03 Christopher P. Chambers , Maxime Cugnon de Sévricourt , Christopher Turansick

Innovation diffusion in the networked population is an essential process that drives the progress of human society. Despite the recent advances in network science, a fundamental understanding of network properties that regulate such…

Physics and Society · Physics 2023-01-03 Leyang Xue , Kai-Cheng Yang , Peng-Bi Cui , Zengru Di

Our goal in this paper is to study the market impact in a market in which the order flow is autocorrelated. We build a model which explains qualitatively and quantitatively the empirical facts observed so far concerning market impact. We…

Trading and Market Microstructure · Quantitative Finance 2012-12-20 Jonathan Donier

We investigate the dynamics of a trust game on a mixed population where individuals with the role of buyers are forced to play against a predetermined number of sellers, whom they choose dynamically. Agents with the role of sellers are also…

General Finance · Quantitative Finance 2013-01-11 Tiago P. Peixoto , Stefan Bornholdt

We study equilibria of markets with $m$ heterogeneous indivisible goods and $n$ consumers with combinatorial preferences. It is well known that a competitive equilibrium is not guaranteed to exist when valuations are not gross substitutes.…

Computer Science and Game Theory · Computer Science 2014-06-04 Shahar Dobzinski , Michal Feldman , Inbal Talgam-Cohen , Omri Weinstein

Choice modeling is at the core of understanding how changes to the competitive landscape affect consumer choices and reshape market equilibria. In this paper, we propose a fundamental characterization of choice functions that encompasses a…

Econometrics · Economics 2024-02-21 Amandeep Singh , Ye Liu , Hema Yoganarasimhan

We study the competitive equilibrium of large random economies with linear activities using methods of statistical mechanics. We focus on economies with $C$ commodities, $N$ firms, each running a randomly drawn linear technology, and one…

Statistical Mechanics · Physics 2008-12-10 A. De Martino , M. Marsili , I. Pérez Castillo

We present a minimal agent-based model of interacting agents characterized by their wealth to study taxation and inequality in a non-conservative economy. Wealth evolves through an extremal stochastic replacement process in which the…

Physics and Society · Physics 2026-05-05 Lautaro Giordano , Sebastian Gonçalves , José Roberto Iglesias , María Fabiana Laguna

We study deterministic continuous-time lossy dynamical flow networks with constant exogenous demands, fixed routing, and finite flow and buffer capacities. In the considered model, when the total net flow in a cell ---consisting of the…

Dynamical Systems · Mathematics 2019-12-05 Leonardo Massai , Giacomo Como , Fabio Fagnani

Cross-group externalities and network effects in two-sided platform markets shape market structure and competition policy, and are the subject of extensive study. Less understood are the within-group externalities that arise when the…

Theoretical Economics · Economics 2020-11-10 Quitzé Valenzuela-Stookey

We analyze a simple model of adaptive competition which captures essential features of a variety of adaptive competitive systems in the social and biological sciences. Each of N agents, at each time step of a game, joins one of two groups.…

adap-org · Physics 2007-05-23 Robert Savit , Radu Manuca , Rick Riolo

We define and study a rather complex market model, inspired from the Santa Fe artificial market and the Minority Game. Agents have different strategies among which they can choose, according to their relative profitability, with the…

Condensed Matter · Physics 2009-11-07 Irene Giardina , Jean-Philippe Bouchaud

The right performance of a supply chain depends on the pattern of relationships among firms. Although there is not a general consensus among researchers yet, many studies point that scale-free topologies, where few highly related firms are…

Social and Information Networks · Computer Science 2016-12-01 Juan M. Hernández , Carmen Pedroza

Human diseases spread over networks of contacts between individuals and a substantial body of recent research has focused on the dynamics of the spreading process. Here we examine a model of two competing diseases spreading over the same…

Physics and Society · Physics 2015-03-19 Brian Karrer , M. E. J. Newman

The data sponsored scheme allows the content provider to cover parts of the cellular data costs for mobile users. Thus the content service becomes appealing to more users and potentially generates more profit gain to the content provider.…

Computer Science and Game Theory · Computer Science 2017-11-06 Zehui Xiong , Shaohan Feng , Dusit Niyato , Ping Wang , Yang Zhang

This paper studies Markov perfect equilibria in a repeated duopoly model where sellers choose algorithms. An algorithm is a mapping from the competitor's price to own price. Once set, algorithms respond quickly. Customers arrive randomly…

Theoretical Economics · Economics 2022-07-04 Rohit Lamba , Sergey Zhuk

We develop a general model of discrete choice that incorporates peer effects in preferences and consideration sets. We characterize the equilibrium behavior and establish conditions under which all parts of the model can be recovered from a…

General Economics · Economics 2026-02-05 Nail Kashaev , Natalia Lazzati , Ruli Xiao

This paper develops a dynamic equilibrium model where agents exhibit a strong form of belief heterogeneity: they disagree about zero probability events. It is shown that, somewhat surprisingly, equilibrium exists in this setting, and that…

General Finance · Quantitative Finance 2013-06-24 Martin Larsson

We study the price competition in a duopoly with an arbitrary number of buyers. Each seller can offer multiple units of a commodity depending on the availability of the commodity which is random and may be different for different sellers.…

Computer Science and Game Theory · Computer Science 2016-11-15 Mohammad Hassan Lotfi , Saswati Sarkar
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