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We study the statistical properties of trainable agents moving in discrete space. After introducing the mathematical framework, we first analyze the dynamics of two completely random walkers, mutually competing in a chaser-target…

An agent-based model with interacting low frequency liquidity takers inter-mediated by high-frequency liquidity providers acting collectively as market makers can be used to provide realistic simulated price impact curves. This is possible…

Trading and Market Microstructure · Quantitative Finance 2021-08-23 Ivan Jericevich , Patrick Chang , Tim Gebbie

In complex systems, many different parts interact in non-obvious ways. Traditional research focuses on a few or a single aspect of the problem so as to analyze it with the tools available. To get a better insight of phenomena that emerge…

Multiagent Systems · Computer Science 2015-04-03 Klaus Jaffe

Inspired by Adam Smith and Friedrich Hayek, many economists have postulated the existence of invisible forces that drive economic markets. These market forces interact in complex ways making it difficult to visualize or understand the…

Economics · Quantitative Finance 2015-11-26 Klaus Jaffe

We look at how asset exchange models can be mapped to random iterated function systems (IFS) giving new insights into the dynamics of wealth accumulation in such models. In particular, we focus on the "yard-sale" (winner gets a random…

Statistical Mechanics · Physics 2009-11-10 Sitabhra Sinha

In a combinatorial auction with item bidding, agents participate in multiple single-item second-price auctions at once. As some items might be substitutes, agents need to strategize in order to maximize their utilities. A number of results…

Computer Science and Game Theory · Computer Science 2017-04-17 Paul Dütting , Thomas Kesselheim

We extend our model of wealth segregation to incorporate migration and study the tendencies towards dual segregation - segregation due to identity (migrants vs. residents) and segregation due to wealth. We find a sharp, non-linear…

Physics and Society · Physics 2019-09-11 Anand Sahasranaman , Henrik Jeldtoft Jensen

Economic inequality is one of the pivotal issues for most of economic and social policy makers across the world to insure the sustainable economic growth and justice. In the mainstream school of economics, namely neoclassical theories,…

Econometrics · Economics 2018-04-26 Hossein Sabzian , Alireza Aliahmadi , Adel Azar , Madjid Mirzaee

We discuss a possibility of deriving an H-theorem for nonlinear discrete time evolution equation that describes random wealth exchanges. In such kinetic models economical agents exchange wealth in pairwise collisions just as particles in a…

Statistical Mechanics · Physics 2014-08-04 S. M. Apenko

We study a model for cascade effects over finite networks based on a deterministic binary linear threshold model. Our starting point is a networked coordination game where each agent's payoff is the sum of the payoffs coming from pairwise…

Discrete Mathematics · Computer Science 2013-01-04 Elie M. Adam , Munther A. Dahleh , Asuman Ozdaglar

We study systems of interacting reinforced stochastic processes, where agents' decisions evolve under reinforcement, network-mediated interactions, and environmental influences. In competitive environments with irreducible networks, we…

Probability · Mathematics 2025-09-18 Michele Aleandri , Paolo Dai Pra , Ida Germana Minelli

The lack of cooperation can easily result in inequality among members of a society, which provides an increasing gap between individual incomes. To tackle this issue, we introduce an incentive mechanism based on individual strategies and…

Physics and Society · Physics 2025-01-24 Luo-Luo Jiang , Yi-Ming Li , Wen-Jing Li , Attila Szolnoki

Autonomous agents that act with each other on behalf of humans are becoming more common in many social domains, such as customer service, transportation, and health care. In such social situations greedy strategies can reduce the positive…

Multiagent Systems · Computer Science 2022-12-02 Jory Schossau , Bamshad Shirmohammadi , Arend Hintze

Inspired by recent ideas on how the analysis of complex financial risks can benefit from analogies with independent research areas, we propose an unorthodox framework for mapping microfinance credit risk---a major obstacle to the…

Risk Management · Quantitative Finance 2018-11-21 Joung-Hun Lee , Marko Jusup , Boris Podobnik , Yoh Iwasa

Recent works have increasingly applied Large Language Models (LLMs) as agents in financial stock market simulations to test if micro-level behaviors aggregate into macro-level phenomena. However, a crucial question arises: Do LLM agents'…

Trading and Market Microstructure · Quantitative Finance 2026-03-25 Zeping Li , Guancheng Wan , Keyang Chen , Yu Chen , Yiwen Zhao , Philip Torr , Guangnan Ye , Zhenfei Yin , Hongfeng Chai

The paper examines the learning mechanism of adaptive agents over weakly-connected graphs and reveals an interesting behavior on how information flows through such topologies. The results clarify how asymmetries in the exchange of data can…

Multiagent Systems · Computer Science 2015-12-08 Bicheng Ying , Ali H. Sayed

We introduce \textsc{Cattle Trade, a multi-agent benchmark for evaluating large language models (LLMs) as agents in strategic reasoning under imperfect information, adversarial interaction, and resource constraints. The benchmark combines…

Artificial Intelligence · Computer Science 2026-05-15 Robert Müller , Clemens Müller

Learning to walk over a graph towards a target node for a given query and a source node is an important problem in applications such as knowledge base completion (KBC). It can be formulated as a reinforcement learning (RL) problem with a…

Artificial Intelligence · Computer Science 2018-12-19 Yelong Shen , Jianshu Chen , Po-Sen Huang , Yuqing Guo , Jianfeng Gao

Residential segregation is analyzed via the Schelling model, in which two types of agents attempt to optimize their situation according to certain preferences and tolerance levels. Several variants of this work are focused on urban or…

Physics and Society · Physics 2021-04-20 Diego Ortega , Javier Rodríguez-Laguna , Elka Korutcheva

A network of agents interacting both with competitive and/or cooperative mechanisms is modeled by using fermionic ladder operators. The time evolution of the network is assumed to be governed by a Hermitian time-independent Hamiltonian…

Physics and Society · Physics 2025-05-30 G. Giunta , M. Gorgone , F. Oliveri