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Competitive systems can exhibit both hierarchical (transitive) and cyclic (intransitive) structures. Despite theoretical interest in cyclic competition, which offers richer dynamics, and occupies a larger subset of the space of possible…

Populations and Evolution · Quantitative Biology 2022-05-18 Christopher Cebra , Alexander Strang

We study the role of imitation within a model of economics with adaptive agents. The basic ingredients are those of the Minority Game. We add the possibility of local information exchange and imitation of the neighbour's strategy. Imitators…

Statistical Mechanics · Physics 2009-11-07 Frantisek Slanina

We propose a novel definition of model exploitation in reinforcement learning. Informally, a world model is exploitable if it implies that one policy should be strictly preferred over another while the environment's true transition model…

Artificial Intelligence · Computer Science 2026-05-19 Logan Mondal Bhamidipaty , Esmeralda S. Whitammer , David Abel , Mykel J. Kochenderfer , Subramanian Ramamoorthy

A general theory of innovation and progress in human society is outlined, based on the combat between two opposite forces (conservatism/inertia and speculative herding "bubble" behavior). We contend that human affairs are characterized by…

Physics and Society · Physics 2008-12-02 Didier Sornette

Participants in socio-economic systems are often ranked based on their performance. Rankings conveniently reduce the complexity of such systems to ordered lists. Yet, it has been shown in many contexts that those who reach the top are not…

Physics and Society · Physics 2024-01-30 Federica De Domenico , Fabio Caccioli , Giacomo Livan , Guido Montagna , Oreste Nicrosini

Filtering has had a profound impact as a device of perceiving information and deriving agent expectations in dynamic economic models. For an abstract economic system, this paper shows that the foundation of applying the filtering method…

Probability · Mathematics 2016-05-13 Zhengyuan Gao , Christian M. Hafner

We describe a simple model for speculative trading based on adaptive behavior of economic agents.The adaptive behavior is expressed through a feedback mechanism for changing agents' stock-to-bond ratios, depending on the past performance of…

Trading and Market Microstructure · Quantitative Finance 2018-09-26 Misha Perepelitsa

Recommender systems often rely on models which are trained to maximize accuracy in predicting user preferences. When the systems are deployed, these models determine the availability of content and information to different users. The gap…

Machine Learning · Computer Science 2021-02-02 Sarah Dean , Sarah Rich , Benjamin Recht

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

Breaking a norm elicits both material and emotional consequences, yet how this coupling arose evolutionarily remains unclear. We investigate this question in light of emerging work suggesting that normativity's building blocks emerged…

Multiagent Systems · Computer Science 2026-02-13 Stavros Anagnou , Daniel Polani , Christoph Salge

We study non-monetary mechanisms for the fair and efficient allocation of reusable public resources, i.e., resources used for varying durations. We consider settings where a limited resource is repeatedly shared among a set of agents, each…

Computer Science and Game Theory · Computer Science 2023-10-17 Siddhartha Banerjee , Giannis Fikioris , Éva Tardos

We investigate the containment of epidemic spreading in networks from a normative point of view. We consider a susceptible/infected model in which agents can invest in order to reduce the contagiousness of network links. In this setting, we…

Theoretical Economics · Economics 2020-07-16 Geraldine Bouveret , Antoine Mandel

In today's dynamic and interconnected world, resource constraints pose significant challenges across various domains, ranging from networks, logistics and manufacturing to project management and optimization, etc. Resource-constrained…

Computer Science and Game Theory · Computer Science 2023-11-09 Shiksha Singhal

When funding public goods, resources are often allocated via mechanisms that resemble contests, especially in the case of research grants. A common critique of these contests is that they induce ``too much'' effort from participants. This…

General Economics · Economics 2024-03-13 Kyle R. Myers

We propose a pseudo-market solution to resource allocation problems subject to constraints. Our treatment of constraints is general: including bihierarchical constraints due to considerations of diversity in school choice, or scheduling in…

Theoretical Economics · Economics 2020-11-09 Federico Echenique , Antonio Miralles , Jun Zhang

Network effects are the added value derived solely from the popularity of a product in an economic market. Using agent-based models inspired by statistical physics, we propose a minimal theory of a competitive market for (nearly)…

Statistical Mechanics · Physics 2023-05-31 Andrew Lucas

We investigate the dynamics of two agent based models of language competition. In the first model, each individual can be in one of two possible states, either using language $X$ or language $Y$, while the second model incorporates a third…

Physics and Society · Physics 2015-05-18 F. Vazquez , X. Castello , M. San Miguel

Empirical science needs to be based on facts and claims that can be reproduced. This calls for replicating the studies that proclaim the claims, but practice in most fields still fails to implement this idea. When such studies emerged in…

Other Statistics · Statistics 2025-08-27 Werner A. Stahel

This paper considers the problem of shaping agent utility functions in a transactive energy system to ensure the optimal energy price at a competitive equilibrium is always socially acceptable, that is, below a prescribed threshold. Agents…

Systems and Control · Electrical Eng. & Systems 2021-09-28 Zeinab Salehi , Yijun Chen , Ian R. Petersen , Elizabeth L. Ratnam , Guodong Shi

It is known that the competitive exclusion principle holds for a large kind of models involving several species competing for a single resource in an homogeneous environment. Various works indicate that the coexistence is possible in an…

Analysis of PDEs · Mathematics 2014-07-22 François Castella , Sten Madec , Yvan Lagadeuc
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