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We consider a financial market model which consists of a financial asset and a large number of interacting agents classified into many types. Different types of agents are heterogeneous in their price expectations. Each agent can change its…

Probability · Mathematics 2008-12-02 Biao Wu

We investigate opinion formation in a kinetic exchange opinion model, where opinions are represented by numbers in the real interval $[-1,1]$ and agents are typified by the individual degree of conviction about the opinion that they…

Physics and Society · Physics 2016-02-25 Allan R. Vieira , Celia Anteneodo , Nuno Crokidakis

This paper considers dynamic moral hazard settings, in which the consequences of the agent's actions are not precisely understood. In a new continuous-time moral hazard model with drift ambiguity, the agent's unobservable action translates…

General Economics · Economics 2021-10-29 Martin Dumav

The notion that economies should normally be in equilibrium is by now well-established; equally well-established is that economies are almost never precisely in equilibrium. Using a very general formulation, we show that under dynamics that…

General Finance · Quantitative Finance 2012-02-28 Eric Kemp-Benedict

We introduce a stochastic heterogeneous interacting-agent model for the short-time non-equilibrium evolution of excess demand and price in a stylized asset market. We consider a combination of social interaction within peer groups and…

General Finance · Quantitative Finance 2009-07-20 Gunter M. Schütz , Fernando Pigeard de Almeida Prado , Rosemary J. Harris , Vladimir Belitsky

A broad set of empirical phenomenon in the study of social, economic and machine behaviour can be modelled as complex systems with averaging dynamics. However many of these models naturally result in consensus or consensus-like outcomes. In…

Multiagent Systems · Computer Science 2020-07-03 Orowa Sikder

Classic no-trade theorems attribute trade to heterogeneous beliefs. We re-examine this conclusion for AI agents, asking if trade can arise from computational limitations, under common beliefs. We model agents' bounded computational…

Computer Science and Game Theory · Computer Science 2025-12-23 Hanyu Li , Xiaotie Deng

An agent-based model for firms' dynamics is developed. The model consists of firm agents with identical characteristic parameters and a bank agent. Dynamics of those agents is described by their balance sheets. Each firm tries to maximize…

General Finance · Quantitative Finance 2009-01-14 Hiroshi Iyetomi , Hideaki Aoyama , Yoshi Fujiwara , Yuichi Ikeda , Wataru Souma

The bounded confidence model represents a widely adopted framework for modeling opinion dynamics wherein actors have a continuous-valued opinion and interact and approach their positions in the opinion space only if their opinions are…

Physics and Society · Physics 2024-11-22 Irene Ferri , Emanuele Cozzo , Aleix Nicolas-Olive , Albert Diaz-Guilera , Luce Prignano

We present an equilibrium model of politics in which political platforms compete over public opinion. A platform consists of a policy, a coalition of social groups with diverse intrinsic attitudes to policies, and a narrative. We…

Theoretical Economics · Economics 2022-06-28 Kfir Eliaz , Simone Galperti , Ran Spiegler

A minimal model of a market of myopic non-cooperative agents who trade bilaterally with random bids reproduces qualitative features of short-term electric power markets, such as those in California and New England. Each agent knows its own…

Trading and Market Microstructure · Quantitative Finance 2009-05-15 Randall A. LaViolette , Lory A. Ellebracht , Kevin L. Stamber , Charles J. Gieseler , Benjamin K. Cook

Consensus formation is investigated for multi-agent systems in which agents' beliefs are both vague and uncertain. Vagueness is represented by a third truth state meaning \emph{borderline}. This is combined with a probabilistic model of…

Multiagent Systems · Computer Science 2018-01-15 Michael Crosscombe , Jonathan Lawry

We consider two risk-averse financial agents who negotiate the price of an illiquid indivisible contingent claim in an incomplete semimartingale market environment. Under the assumption that the agents are exponential utility maximizers…

Pricing of Securities · Quantitative Finance 2008-12-02 Michail Anthropelos , Gordan Zitkovic

Models of continuous opinion dynamics under bounded confidence have been presented independently by Krause and Hegselmann and by Deffuant et al in 2000. They have raised a fair amount of attention in the communities of social simulation,…

Physics and Society · Physics 2008-03-06 Jan Lorenz

We develop a dynamic model of discrete choice that incorporates peer effects into random consideration sets. We characterize the equilibrium behavior and study the empirical content of the model. In our setup, changes in the choices of…

Econometrics · Economics 2021-05-19 Nail Kashaev , Natalia Lazzati

Exploring the collective behavior of interacting entities is of great interest and importance. Rather than focusing on static and uniform connections, we examine the co-evolution of diverse mobile agents experiencing varying interactions…

Physics and Society · Physics 2023-10-16 Guram Mikaberidze , Sayantan Nag Chowdhury , Alan Hastings , Raissa M. DSouza

We introduce a set-valued solution concept, M equilibrium, to capture empirical regularities from over half a century of game-theory experiments. We show M equilibrium serves as a meta theory for various models that hitherto were considered…

Theoretical Economics · Economics 2021-04-20 Jacob K. Goeree , Philippos Louis

A framework for consensus modelling is introduced using Kleene's three valued logic as a means to express vagueness in agents' beliefs. Explicitly borderline cases are inherent to propositions involving vague concepts where sentences of a…

Multiagent Systems · Computer Science 2018-01-15 Michael Crosscombe , Jonathan Lawry

The thesis of this essay is that, in heterogeneous agent macroeconomics, the assumption of rational expectations about equilibrium prices is unrealistic and should be replaced. Rational expectations imply that decision makers forecast…

General Economics · Economics 2025-08-29 Benjamin Moll

We propose a projected gradient dynamical system as a model for a bargaining scheme for an asset for which the two interested agents have personal valuations which do not initially coincide. The personal valuations are formed using…

Trading and Market Microstructure · Quantitative Finance 2011-09-15 D. Pinheiro , A. A. Pinto , S. Z. Xanthopoulos , A. N. Yannacopoulos