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Related papers: Logit Dynamics with Concurrent Updates for Local-I…

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We study "logit dynamics" [Blume, Games and Economic Behavior, 1993] for strategic games. This dynamics works as follows: at every stage of the game a player is selected uniformly at random and she plays according to a "noisy" best-response…

Computer Science and Game Theory · Computer Science 2015-05-18 Vincenzo Auletta , Diodato Ferraioli , Francesco Pasquale , Giuseppe Persiano

Logit dynamics is a form of randomized game dynamics where players have a bias towards strategic deviations that give a higher improvement in cost. It is used extensively in practice. In congestion (or potential) games, the dynamics…

Computer Science and Game Theory · Computer Science 2021-05-28 Pieter Kleer

Logit Dynamics [Blume, Games and Economic Behavior, 1993] are randomized best response dynamics for strategic games: at every time step a player is selected uniformly at random and she chooses a new strategy according to a probability…

Computer Science and Game Theory · Computer Science 2017-05-31 Vincenzo Auletta , Diodato Ferraioli , Francesco Pasquale , Giuseppe Persiano

One of the main criticisms to game theory concerns the assumption of full rationality. Logit dynamics is a decentralized algorithm in which a level of irrationality (a.k.a. "noise") is introduced in players' behavior. In this context, the…

Computer Science and Game Theory · Computer Science 2014-11-05 Diodato Ferraioli , Carmine Ventre

Except for special classes of games, there is no systematic framework for analyzing the dynamical properties of multi-agent strategic interactions. Potential games are one such special but restrictive class of games that allow for tractable…

Computer Science and Game Theory · Computer Science 2023-10-03 Ozan Candogan , Asuman Ozdaglar , Pablo A. Parrilo

We present a new family of logit-Q dynamics for efficient learning in stochastic games by combining the log-linear learning (also known as logit dynamics) for the repeated play of normal-form games with Q-learning for unknown Markov…

Computer Science and Game Theory · Computer Science 2025-03-17 Ahmed Said Donmez , Onur Unlu , Muhammed O. Sayin

We present the first general bounds on the mixing time of the Markov chain associated to the logit dynamics for wide classes of strategic games. The logit dynamics with inverse noise beta describes the behavior of a complex system whose…

Computer Science and Game Theory · Computer Science 2012-12-12 Vincenzo Auletta , Diodato Ferraioli , Francesco Pasquale , Paolo Penna , Giuseppe Persiano

Logit dynamics are dynamical systems describing transitions and equilibria of actions of interacting players under uncertainty. An uncertainty is embodied in logit dynamic as a softmax type function often called a logit function originating…

Optimization and Control · Mathematics 2024-09-26 Hidekazu Yoshioka

We study an independent best-response dynamics on network games in which the nodes (players) decide to revise their strategies independently with some probability. We provide several bounds on the convergence time to an equilibrium as a…

Computer Science and Game Theory · Computer Science 2019-02-07 Paolo Penna , Laurent Viennot

A common assumption employed in most previous works on evolutionary game dynamics is that every individual player has full knowledge about and full access to the complete set of available strategies. In realistic social, economical, and…

Adaptation and Self-Organizing Systems · Physics 2018-11-14 Jun-Jie Jiang , Yu-Zhong Chen , Zi-Gang Huang , Ying-Cheng Lai

We study the role of local effects and finite size effects in reaching coordination and in equilibrium selection in different types of two-player coordination games. We investigate three update rules -- the replicator dynamics (RD), the…

Physics and Society · Physics 2022-12-20 Tomasz Raducha , Maxi San Miguel

The paper presents a model of two-speed evolution in which the payoffs in the population game (or, alternatively, the individual preferences) slowly adjust to changes in the aggregate behavior of the population. The model investigates how,…

Theoretical Economics · Economics 2021-06-16 George Loginov

Network coordination games are widely used to model collaboration among interconnected agents, with applications across diverse domains including economics, robotics, and cyber-security. We consider networks of bounded-rational agents who…

Systems and Control · Electrical Eng. & Systems 2026-04-10 Zhewei Wang , Emrah Akyol , Marcos M. Vasconcelos

We present new learning dynamics combining (independent) log-linear learning and value iteration for stochastic games within the auxiliary stage game framework. The dynamics presented provably attain the efficient equilibrium (also known as…

Computer Science and Game Theory · Computer Science 2023-09-08 Onur Unlu , Muhammed O. Sayin

We present new learning dynamics combining (independent) log-linear learning and value iteration for stochastic games within the auxiliary stage game framework. The dynamics presented provably attain the efficient equilibrium (also known as…

Computer Science and Game Theory · Computer Science 2023-09-11 Onur Unlu , Muhammed O. Sayin

In multiplayer games with sequential decision-making, self-interested players form dynamic coalitions to achieve most-preferred temporal goals beyond their individual capabilities. We introduce a novel procedure to synthesize strategies…

Computer Science and Game Theory · Computer Science 2025-01-31 A. Kaan Ata Yilmaz , Abhishek Kulkarni , Ufuk Topcu

The best-response dynamics is an example of an evolutionary game where players update their strategy in order to maximize their payoff. The main objective of this paper is to study a stochastic spatial version of this game based on the…

Probability · Mathematics 2014-07-28 Stephen Evilsizor , Nicolas Lanchier

Logit dynamics are evolution equations that describe transitions to equilibria of actions among many players. We formulate a pair-wise logit dynamic in a continuous action space with a generalized exponential function, which we call a…

Optimization and Control · Mathematics 2024-12-10 Hidekazu Yoshioka , Motoh Tsujimura

Imitating successful behavior is a natural and frequently applied approach to trust in when facing scenarios for which we have little or no experience upon which we can base our decision. In this paper, we consider such behavior in atomic…

Computer Science and Game Theory · Computer Science 2008-10-04 Heiner Ackermann , Petra Berenbrink , Simon Fischer , Martin Hoefer

We propose an adaptive incentive mechanism that learns the optimal incentives in environments where players continuously update their strategies. Our mechanism updates incentives based on each player's externality, defined as the difference…

Computer Science and Game Theory · Computer Science 2025-03-04 Chinmay Maheshwari , Kshitij Kulkarni , Manxi Wu , Shankar Sastry
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