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We analyze the problem of distributed power allocation for orthogonal multiple access channels by considering a continuous non-cooperative game whose strategy space represents the users' distribution of transmission power over the network's…

Computer Science and Game Theory · Computer Science 2015-03-19 Panayotis Mertikopoulos , Elena V. Belmega , Aris L. Moustakas , Samson Lasaulce

A growing body of literature in networked systems research relies on game theory and mechanism design to model and address the potential lack of cooperation between self-interested users. Most game-theoretic models applied to system…

Computer Science and Game Theory · Computer Science 2007-05-23 Nicolas Christin , Jens Grossklags , John Chuang

Animal behavior and evolution can often be described by game-theoretic models. Although in many situations, the number of players is very large, their strategic interactions are usually decomposed into a sum of two-player games. Only…

Populations and Evolution · Quantitative Biology 2007-05-23 Dominik Kaminski , Jacek Miekisz , Marcin Zaborowski

We provide a novel approach to achieving a desired outcome in a coordination game: the original 2x2 game is embedded in a 2x3 game where one of the players may use a third action. For a large set of payoff values only one of the Nash…

Computer Science and Game Theory · Computer Science 2024-01-22 Sofia B. S. D. Castro

Cooperation plays a key role in the evolution of complex systems. However, the level of cooperation extensively varies with the topology of agent networks in the widely used models of repeated games. Here we show that cooperation remains…

Molecular Networks · Quantitative Biology 2012-03-01 Shijun Wang , Mate S. Szalay , Changshui Zhang , Peter Csermely

We consider multi-agent decision making where each agent's cost function depends on all agents' strategies. We propose a distributed algorithm to learn a Nash equilibrium, whereby each agent uses only obtained values of her cost function at…

Multiagent Systems · Computer Science 2019-04-04 Tatiana Tatarenko , Maryam Kamgarpour

The replicator equation is a simple model of evolution that leads to stable form of Nash Equilibrium, Evolutionary Stable Strategy (ESS). It has been studied in connection with Evolutionary Game Theory and was originally developed for…

Computer Vision and Pattern Recognition · Computer Science 2017-05-23 Tinsae G. Dulecha

This paper considers the problem of Nash equilibrium (NE) seeking in aggregative games, where the payoff function of each player depends on an aggregate of all players' actions. We present a distributed continuous time algorithm such that…

Optimization and Control · Mathematics 2019-11-04 Mehran Shakarami , Claudio De Persis , Nima Monshizadeh

We consider a subclass of $n$-player stochastic games, in which players have their own internal state/action spaces while they are coupled through their payoff functions. It is assumed that players' internal chains are driven by independent…

Machine Learning · Computer Science 2023-03-23 S. Rasoul Etesami

In this paper, we address the challenge of Nash equilibrium (NE) seeking in non-cooperative convex games with partial-decision information. We propose a distributed algorithm, where each agent refines its strategy through projected-gradient…

Computer Science and Game Theory · Computer Science 2023-09-15 Duong Thuy Anh Nguyen , Mattia Bianchi , Florian Dörfler , Duong Tung Nguyen , Angelia Nedić

Evolutionary game theory predicts that cooperation in social dilemma games is promoted when agents are connected as a network. However, when networks are fixed over time, humans do not necessarily show enhanced mutual cooperation. Here we…

Physics and Society · Physics 2018-02-07 Takahiro Ezaki , Naoki Masuda

Microscopic strategy update rules play an important role in the evolutionary dynamics of cooperation among interacting agents on complex networks. Many previous related works only consider one \emph{fixed} rule, while in the real world,…

Optimization and Control · Mathematics 2023-11-27 Shengxian Wang , Weijia Yao , Ming Cao , Xiaojie Chen

We discuss similarities and differences between systems of interacting players maximizing their individual payoffs and particles minimizing their interaction energy. Long-run behavior of stochastic dynamics of spatial games with multiple…

Statistical Mechanics · Physics 2009-11-10 Jacek Miekisz

The designs of many large-scale systems today, from traffic routing environments to smart grids, rely on game-theoretic equilibrium concepts. However, as the size of an $N$-player game typically grows exponentially with $N$, standard game…

Computer Science and Game Theory · Computer Science 2022-08-23 Paul Muller , Romuald Elie , Mark Rowland , Mathieu Lauriere , Julien Perolat , Sarah Perrin , Matthieu Geist , Georgios Piliouras , Olivier Pietquin , Karl Tuyls

Understanding the evolutionary dynamics of reinforcement learning under multi-agent settings has long remained an open problem. While previous works primarily focus on 2-player games, we consider population games, which model the strategic…

Multiagent Systems · Computer Science 2020-06-30 Shuyue Hu , Chin-Wing Leung , Ho-fung Leung , Harold Soh

Efficient dynamic spectrum access mechanism is crucial for improving the spectrum utilization. In this paper, we consider the dynamic spectrum access mechanism design with both complete and incomplete network information. When the network…

Networking and Internet Architecture · Computer Science 2012-04-13 Xu Chen , Jianwei Huang

Nash equilibrium is used as a model to explain the observed behavior of players in strategic settings. For example, in many empirical applications we observe player behavior, and the problem is to determine if there exist payoffs for the…

Computer Science and Game Theory · Computer Science 2014-09-30 Siddharth Barman , Umang Bhaskar , Federico Echenique , Adam Wierman

We consider evolutionary dynamics for population games in which players have a continuum of strategies at their disposal. Models in this setting amount to infinite-dimensional differential equations evolving on the manifold of probability…

Dynamical Systems · Mathematics 2025-04-23 Brendon G. Anderson , Jingqi Li , Somayeh Sojoudi , Murat Arcak

In this paper, we examine the robustness of Nash equilibria in continuous games, under both strategic and dynamic uncertainty. Starting with the former, we introduce the notion of a robust equilibrium as those equilibria that remain…

Computer Science and Game Theory · Computer Science 2025-12-10 Kyriakos Lotidis , Panayotis Mertikopoulos , Nicholas Bambos , Jose Blanchet

Game theory provides a well-established framework for the analysis of concurrent and multi-agent systems. The basic idea is that concurrent processes (agents) can be understood as corresponding to players in a game; plays represent the…

Logic in Computer Science · Computer Science 2023-06-22 Julian Gutierrez , Paul Harrenstein , Giuseppe Perelli , Michael Wooldridge
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