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We formulate and study a general time-varying multi-agent system where players repeatedly compete under incomplete information. Our work is motivated by scenarios commonly observed in online advertising and retail marketplaces, where agents…

Computer Science and Game Theory · Computer Science 2025-05-27 Ludovico Crippa , Yonatan Gur , Bar Light

Feed-forward neural networks (FFNNs) are vulnerable to input noise, reducing prediction performance. Existing regularization methods like dropout often alter network architecture or overlook neuron interactions. This study aims to enhance…

Neural and Evolutionary Computing · Computer Science 2025-07-28 Maria Zaitseva , Ivan Tomilov , Natalia Gusarova

This paper presents a reinforced genetic approach to a defined d-resource system optimization problem. The classical evolution schema was ineffective due to a very strict feasibility function in the studied problem. Hence, the presented…

Neural and Evolutionary Computing · Computer Science 2025-11-07 Leszek Sliwko

We address Stackelberg models of combinatorial congestion games (CCGs); we aim to optimize the parameters of CCGs so that the selfish behavior of non-atomic players attains desirable equilibria. This model is essential for designing such…

Computer Science and Game Theory · Computer Science 2021-10-19 Shinsaku Sakaue , Kengo Nakamura

We consider a dual model of decision making, in which an individual forms its opinion based on contrasting mechanisms of imitation and rational calculation. The decision making model (DMM) implements imitating behavior by means of a network…

Adaptation and Self-Organizing Systems · Physics 2015-06-22 Malgorzata Turalska , Bruce J. West

Convergence of discrete-time Markov chains with two timescales is a powerful tool to study stochastic evolutionary games in subdivided populations. Focusing on linear games within demes, convergence to a diffusion process for the strategy…

Populations and Evolution · Quantitative Biology 2024-11-05 Sabin Lessard

Quality Diversity (QD) has emerged as a powerful alternative optimization paradigm that aims at generating large and diverse collections of solutions, notably with its flagship algorithm MAP-ELITES (ME) which evolves solutions through…

Neural and Evolutionary Computing · Computer Science 2023-06-16 Thomas Pierrot , Arthur Flajolet

Constrained Markov games offer a formal mathematical framework for modeling multi-agent reinforcement learning problems where the behavior of the agents is subject to constraints. In this work, we focus on the recently introduced class of…

Machine Learning · Computer Science 2024-02-29 Philip Jordan , Anas Barakat , Niao He

Cooperative guidance of multiple missiles is a challenging task with rigorous constraints of time and space consensus, especially when attacking dynamic targets. In this paper, the cooperative guidance task is described as a distributed…

Neural and Evolutionary Computing · Computer Science 2023-04-18 Xuejing Lan , Junda Chen , Zhijia Zhao , Tao Zou

In canonical models of Micro-Electro Mechanical Systems (MEMS), an event called touch- down whereby the electrical components of the device come into contact, is characterized by a blow up in the governing equations and a non-physical…

Analysis of PDEs · Mathematics 2013-10-02 A. E. Lindsay , J. Lega , K. B. Glasner

The Inspection Game is the canonical model for the strategic conflict between law enforcement (inspectors) and citizens (potential criminals). Its classical Mixed-Strategy Nash Equilibrium (MSNE) is afflicted by a paradox: the equilibrium…

Physics and Society · Physics 2025-12-09 Bianca Y. S. Ishikawa , José F. Fontanari

This paper considers a class of reinforcement-learning that belongs to the family of Learning Automata and provides a stochastic-stability analysis in strategic-form games. For this class of dynamics, convergence to pure Nash equilibria has…

Computer Science and Game Theory · Computer Science 2017-02-28 Georgios C. Chasparis

Deep generative models can learn to generate realistic-looking images, but many of the most effective methods are adversarial and involve a saddlepoint optimization, which requires a careful balancing of training between a generator network…

Machine Learning · Statistics 2020-02-18 Akash Srivastava , Kai Xu , Michael U. Gutmann , Charles Sutton

Dynamic Population Games (DPGs) provide a tractable framework for modeling strategic interactions in large populations of self-interested agents, and have been successfully applied to the design of Karma economies, a class of fair…

Computer Science and Game Theory · Computer Science 2026-05-13 Matteo Cederle , Saverio Bolognani , Gian Antonio Susto

This paper investigates the problem of computing the equilibrium of competitive games, which is often modeled as a constrained saddle-point optimization problem with probability simplex constraints. Despite recent efforts in understanding…

Optimization and Control · Mathematics 2023-01-23 Shicong Cen , Yuting Wei , Yuejie Chi

The game interactions among individuals in nature are often uncertain and dynamically evolving, significantly influencing the persistence of cooperation. However, it remains a formidable challenge to effectively characterize these dynamic…

Computer Science and Game Theory · Computer Science 2026-03-24 Bin Pi , Minyu Feng , Liang-Jian Deng , Xiaojie Chen , Attila Szolnoki

Streaming Data-Driven Optimization (SDDO) problems arise in many applications where data arrive continuously and the optimization environment evolves over time. Concept drift produces non-stationary landscapes, making optimization methods…

Neural and Evolutionary Computing · Computer Science 2026-04-15 Yue Wu , Yuan-Ting Zhong , Ze-Yuan Ma , Yue-Jiao Gong

In this paper, we formulate an evolutionarymultiple access control game with continuousvariable actions and coupled constraints. We characterize equilibria of the game and show that the pure equilibria are Pareto optimal and also resilient…

Computer Science and Game Theory · Computer Science 2015-03-19 Quanyan Zhu , Hamidou Tembine , Tamer Basar

Markov games (MGs) provide a mathematical foundation for multi-agent reinforcement learning (MARL), enabling self-interested agents to learn their optimal policies while interacting with others in a shared environment. However, due to the…

Systems and Control · Electrical Eng. & Systems 2025-11-25 Huiwen Yan , Mushuang Liu

An abundance of recent impossibility results establish that regret minimization in Markov games with adversarial opponents is both statistically and computationally intractable. Nevertheless, none of these results preclude the possibility…

Machine Learning · Computer Science 2025-06-17 Liad Erez , Tal Lancewicki , Uri Sherman , Tomer Koren , Yishay Mansour