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In a discrete-time setting, we study arbitrage concepts in the presence of convex trading constraints. We show that solvability of portfolio optimization problems is equivalent to absence of arbitrage of the first kind, a condition weaker…

Mathematical Finance · Quantitative Finance 2022-02-21 Claudio Fontana , Wolfgang J. Runggaldier

We consider a simple information-theoretic model of communication, in which two species of bacteria have the option of exchanging information about their environment, thereby improving their chances of survival. For this purpose, we model a…

Multiagent Systems · Computer Science 2016-04-05 Andres C. Burgos , Daniel Polani

This work considers coordination and bargaining between two selfish users over a Gaussian interference channel. The usual information theoretic approach assumes full cooperation among users for codebook and rate selection. In the scenario…

Information Theory · Computer Science 2015-03-17 Xi Liu , Elza Erkip

In the realm of evolutionary game theory, standard frameworks typically presuppose that every player possesses comprehensive knowledge and unrestricted access to the entire strategy space. However, real-world human society inherently…

Computer Science and Game Theory · Computer Science 2025-09-30 Feipeng Zhang , Te Wu , Guofeng Zhang , Long Wang

The Fisher market is one of the most fundamental models for resource allocation problems in economic theory, wherein agents spend a budget of currency to buy goods that maximize their utilities, while producers sell capacity constrained…

Computer Science and Game Theory · Computer Science 2021-06-22 Devansh Jalota , Marco Pavone , Qi Qi , Yinyu Ye

Planning safe robot motions in the presence of humans requires reliable forecasts of future human motion. However, simply predicting the most likely motion from prior interactions does not guarantee safety. Such forecasts fail to model the…

Artificial Intelligence · Computer Science 2023-10-23 Kushal Kedia , Prithwish Dan , Sanjiban Choudhury

Human decision behaviour is quite diverse. In many games humans on average do not achieve maximal payoff and the behaviour of individual players remains inhomogeneous even after playing many rounds. For instance, in repeated prisoner…

Physics and Society · Physics 2015-11-11 Martin Spanknebel , Klaus Pawelzik

In this work we study of competitive situations among users of a set of global resources. More precisely we study the effect of cost policies used by these resources in the convergence time to a pure Nash equilibrium. The work is divided in…

Computer Science and Game Theory · Computer Science 2011-03-28 Vissarion Fisikopoulos

We discuss the general framework of a stochastic two-player, hybrid differential game, and we apply it to the modelling of a "match race" between two sailing boats, namely a competition in which the goal of both players is to proceed in the…

Numerical Analysis · Mathematics 2019-06-27 Simone Cacace , Roberto Ferretti , Adriano Festa

As most natural resources, fisheries are affected by random disturbances. The evolution of such resources may be modelled by a succession of deterministic process and random perturbations on biomass and/or growth rate at random times. We…

Optimization and Control · Mathematics 2019-09-15 Patrice Loisel

Resources are often limited, therefore it is essential how convincingly competitors present their claims for them. Beside a player's natural capacity, here overconfidence and bluffing may also play a decisive role and influence how to share…

Physics and Society · Physics 2016-12-06 Kun Li , Attila Szolnoki , Rui Cong , Long Wang

We study a networked economic system composed of $n$ producers supplying a single homogeneous good to a number of geographically separated markets and of a centralized authority, called the market maker. Producers compete \`a la Cournot, by…

Computer Science and Game Theory · Computer Science 2026-03-31 Giacomo Como , Fabio Fagnani , Leonardo Massai , Martina Vanelli

In science as elsewhere, attention is a limited resource and scientists compete with one another to produce the most exciting, novel and impactful results. We develop a game-theoretic model to explore how such competition influences the…

Physics and Society · Physics 2025-09-09 Kevin Gross , Carl T. Bergstrom

Firms' algorithm development practices are often homogeneous. Whether firms train algorithms on similar data, aim at similar benchmarks, or rely on similar pre-trained models, the result is correlated predictions. We model the impact of…

Computer Science and Game Theory · Computer Science 2025-03-21 Nathanael Jo , Kathleen Creel , Ashia Wilson , Manish Raghavan

We study financial systems from a game-theoretic standpoint. A financial system is represented by a network, where nodes correspond to firms, and directed labeled edges correspond to debt contracts between them. The existence of cycles in…

Computer Science and Game Theory · Computer Science 2021-07-23 Panagiotis Kanellopoulos , Maria Kyropoulou , Hao Zhou

Decomposition methods have been proposed to approximate solutions to large sequential decision making problems. In contexts where an agent interacts with multiple entities, utility decomposition can be used to separate the global objective…

Machine Learning · Computer Science 2019-04-24 Maxime Bouton , Kyle Julian , Alireza Nakhaei , Kikuo Fujimura , Mykel J. Kochenderfer

This paper contributes to the treatment of extensive constraints in evolutionary many-constraint optimization through consideration of the relationships between pair-wise constraints. In a conflicting relationship, the functional value of…

Artificial Intelligence · Computer Science 2020-10-12 Mengjun Ming , Rui Wang , Tao Zhang

Individuals, or organizations, cooperate with or compete against one another in a wide range of practical situations. Such strategic interactions are often modeled as games played on networks, where an individual's payoff depends not only…

Computer Science and Game Theory · Computer Science 2020-09-22 Yan Leng , Xiaowen Dong , Junfeng Wu , Alex Pentland

Taxation constitutes a fundamental component of modern national economic systems, exerting profound impacts on both societal functioning and governmental operations. In this paper, we employ an interdependent network approach to model the…

Physics and Society · Physics 2026-04-13 Qin Li , Ting Ling , Minyu Feng , Attila Szolnoki

This paper presents a Mean Field Game (MFG) model for maritime traffic flow, treating the navigation of ships between seaports as a large-scale stochastic control problem. The MFG framework enables the modeling of agents at a microscopic…

Optimization and Control · Mathematics 2025-12-02 Charles-Albert Lehalle , Giulia Livieri