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We describe a new model to simulate the dynamic interactions between market price and the decisions of two different kind of traders. They possess spatial mobility allowing to group together to form coalitions. Each coalition follows a…

Statistical Mechanics · Physics 2009-10-31 Filippo Castiglione

We study multidimensional opinion dynamics under confirmation bias in social networks. Each agent holds a vector of correlated opinions across multiple topic layers. Peer interaction is modeled through a static, informationally symmetric…

Systems and Control · Electrical Eng. & Systems 2026-03-24 M. Hossein Abedinzadeh , Emrah Akyol

In recent studies of political decision-making, apparently anomalous behavior has been observed on the part of voters, in which negative information about a candidate strengthens, rather than weakens, a prior positive opinion about the…

Artificial Intelligence · Computer Science 2013-06-12 William W. Cohen , David P. Redlawsk , Douglas Pierce

Constant and symmetric price impact functions, most commonly used in agent-based market modelling, are shown to give rise to paradoxical and inconsistent outcomes in the simplest case of arbitrage exploitation when open-hold-close actions…

Physics and Society · Physics 2009-11-13 Damien Challet

This study investigates the prevention of market manipulation using a price-impact model of financial market trading as a linear system. First, I define a trading game between speculators such that they implement a manipulation trading…

Theoretical Economics · Economics 2022-05-04 Yoshihiro Ohashi

The goal of this paper is to disentangle the roles of volume and of participation rate in the price response of the market to a sequence of transactions. To do so, we are inspired the methodology introduced in arXiv:1402.1288,…

Mathematical Finance · Quantitative Finance 2023-12-01 Bruno Durin , Mathieu Rosenbaum , Grégoire Szymanski

With model uncertainty characterized by a convex, possibly non-dominated set of probability measures, the agent minimizes the cost of hedging a path dependent contingent claim with given expected success ratio, in a discrete-time,…

Mathematical Finance · Quantitative Finance 2017-09-29 Erhan Bayraktar , Gu Wang

Prediction markets are widely treated as forecasting devices that reveal collective expectations about uncertain futures. This article argues that under specifiable conditions they also function as coordination mechanisms: public…

General Economics · Economics 2026-04-29 Maksym Nechepurenko

This paper performs the numerical analysis and the computation of a Spread option in a market with imperfect liquidity. The number of shares traded in the stock market has a direct impact on the stock's price. Thus, we consider a…

Pricing of Securities · Quantitative Finance 2016-11-25 Ahmad Reza Yazdanian , T A Pirvu

Agent-based models provide a constructive approach to studying emergent dynamics in life-like systems composed of interacting, adaptive agents. Financial markets serve as a canonical example of such systems, where collective price dynamics…

Computational Finance · Quantitative Finance 2026-04-28 Ryuji Hashimoto , Ryosuke Takata , Masahiro Suzuki , Yuki Tanaka , Kiyoshi Izumi

Organizations typically train large models individually. This is costly and time-consuming, particularly for large-scale foundation models. Such vertical production is known to be suboptimal. Inspired by this economic insight, we ask…

Machine Learning · Computer Science 2023-12-11 Tzu-Heng Huang , Harit Vishwakarma , Frederic Sala

Post Modigliani and Miller (1958), the concept of usage of arbitrage created a permanent mark on the discourses of financial framework. The arbitrage process is largely based on information dissemination amongst the stakeholders operating…

Statistical Finance · Quantitative Finance 2025-06-10 Kiran Sharma , Abhijit Dutta , Rupak Mukherjee

I study the limit of a large random economy, where a set of consumers invests in financial instruments engineered by banks, in order to optimize their future consumption. This exercise shows that, even in the ideal case of perfect…

Statistical Finance · Quantitative Finance 2009-06-09 Matteo Marsili

In illiquid markets, option traders may have an incentive to increase their portfolio value by using their impact on the dynamics of the underlying. We provide a mathematical framework within which to value derivatives under market impact…

Trading and Market Microstructure · Quantitative Finance 2009-01-05 Ulrich Horst , Felix Naujokat

In this paper, inspired by the work of Megiddo on the formation of preferences and strategic analysis, we consider an early market model studied in the field of economic theory, in which each trader's utility may be influenced by the…

Computer Science and Game Theory · Computer Science 2010-09-03 Xi Chen , Shang-Hua Teng

This paper studies the switching of trading strategies and its effect on the market volatility in a continuous double auction market. We describe the behavior when some uninformed agents, who we call switchers, decide whether or not to pay…

Trading and Market Microstructure · Quantitative Finance 2015-06-17 Yi-Fang Liu , Wei Zhang , Chao Xu , Jørgen Vitting Andersen , Hai-Chuan Xu

We study a competitive electricity market equilibrium with two trading stages, day-ahead and real-time. The welfare of each market agent is exposed to uncertainty (here from renewable energy production), while agent information on the…

Optimization and Control · Mathematics 2021-02-03 Vladimir Dvorkin , Jalal Kazempour , Pierre Pinson

We introduce and study a non-equilibrium continuous-time dynamical model of the price of a single asset traded by a population of heterogeneous interacting agents in the presence of uncertainty and regulatory constraints. The model takes…

Adaptation and Self-Organizing Systems · Physics 2009-04-23 V. I. Yukalov , D. Sornette , E. P. Yukalova

In market modeling, one often treats buyers as a homogeneous group. In this paper we consider buyers with heterogeneous preferences and products available in many variants. Such a framework allows us to successfully model various market…

Trading and Market Microstructure · Quantitative Finance 2009-01-06 Matus Medo , Yi-Cheng Zhang

We study the formation of derivative prices in equilibrium between risk-neutral agents with heterogeneous beliefs about the dynamics of the underlying. Under the condition that the derivative cannot be shorted, we prove the existence of a…

Mathematical Finance · Quantitative Finance 2018-01-04 Johannes Muhle-Karbe , Marcel Nutz