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Evolutionary game dynamics in finite populations provides a new framework to understand the selection of traits with frequency-dependent fitness. Recently, a simple but fundamental law of evolutionary dynamics, which we call {\sigma} law,…

Populations and Evolution · Quantitative Biology 2012-04-19 Changbing Tang , Xiang Li , Lang Cao , Jingyuan Zhan

We present a unified approach, based on dominating families in binary relations, for the study of topological properties defined in terms of selection principles and the games associated to them.

General Topology · Mathematics 2014-05-21 Rodrigo R. Dias , Marion Scheepers

Evolutionary game dynamics are often studied in the context of different population structures. Here we propose a new population structure that is inspired by simple multicellular life forms. In our model, cells reproduce but can stay…

Populations and Evolution · Quantitative Biology 2016-05-26 Kamran Kaveh , Carl Veller , Martin A. Nowak

The effect of population heterogeneity in multi-agent learning is practically relevant but remains far from being well-understood. Motivated by this, we introduce a model of multi-population learning that allows for heterogeneous beliefs…

Multiagent Systems · Computer Science 2023-01-13 Shuyue Hu , Harold Soh , Georgios Piliouras

This thesis presents some geometric insights into three different types of two player prediction games -- namely general learning task, prediction with expert advice, and online convex optimization. These games differ in the nature of the…

Machine Learning · Computer Science 2018-05-23 Parameswaran Kamalaruban

This paper introduces a geometric framework for analyzing power relations in games, independent of their strategic form. We define a canonical preference space where each player's relational stance is a normalized vector. This model…

Theoretical Economics · Economics 2025-11-11 Daniele De luca

Population protocols have been introduced by Angluin et al. as a model of networks consisting of very limited mobile agents that interact in pairs but with no control over their own movement. A collection of anonymous agents, modeled by…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-09-22 Olivier Bournez , Jérémie Chalopin , Johanne Cohen , Xavier Koegler , Mikael Rabie

In this work we introduce a new model of decision-making by agents in a social network. Agents have innate preferences over the strategies but, because of the social interactions, the decision of the agents are not only affected by their…

Computer Science and Game Theory · Computer Science 2020-02-05 Angelo Fanelli , Dimitris Fotakis

This paper introduces an equilibrium framework based on sequential sampling in which players face strategic uncertainty over their opponents' behavior and acquire informative signals to resolve it. Sequential sampling equilibrium delivers a…

Theoretical Economics · Economics 2023-11-03 Duarte Gonçalves

In many situations, both in human and artificial societies, cooperating agents have different status with respect to the activity and it is not uncommon that certain actions are only allowed to coalitions that satisfy certain criteria,…

Combinatorics · Mathematics 2011-03-15 Tatiana Gvozdeva , Ali Hameed , Arkadii Slinko

Motivated by the fact that the same social dilemma can be perceived differently by different players, we here study evolutionary multigames in structured populations. While the core game is the weak prisoner's dilemma, a fraction of the…

Physics and Society · Physics 2014-10-10 Zhen Wang , Attila Szolnoki , Matjaz Perc

In many real-world large-scale decision problems, self-interested agents have individual dynamics and optimize their own long-term payoffs. Important examples include the competitive access to shared resources (e.g., roads, energy, or…

Optimization and Control · Mathematics 2024-06-05 Ezzat Elokda , Saverio Bolognani , Andrea Censi , Florian Dörfler , Emilio Frazzoli

Hierarchies of concepts are useful in many applications from navigation to organization of objects. Usually, a hierarchy is created in a centralized manner by employing a group of domain experts, a time-consuming and expensive process. The…

Artificial Intelligence · Computer Science 2015-08-04 Yuyin Sun , Adish Singla , Dieter Fox , Andreas Krause

We study the problem of implementing equilibria of complete information games in settings of incomplete information, and address this problem using "recommender mechanisms." A recommender mechanism is one that does not have the power to…

Computer Science and Game Theory · Computer Science 2015-12-11 Michael Kearns , Mallesh M. Pai , Aaron Roth , Jonathan Ullman

Continuously changing environments have a paramount role in the evolution of cooperative behavior. Previous works have shown that the transitions among different games, as the feedback between behaviors and environments, can promote…

Physics and Society · Physics 2026-03-25 Yuji Zhang , Minyu Feng , Qin Li , Matjaz Perc , Attila Szolnoki

Individual choices are either based on personal experience or on information provided by peers. The latter case, causes individuals to conform to the majority in their neighborhood. Such herding behavior may be very efficient in aggregating…

Physics and Society · Physics 2009-11-11 Philippe Curty , Matteo Marsili

We investigate a multi-agent decision-making problem where a large population of agents is responsible for carrying out a set of assigned tasks. The amount of jobs in each task varies over time governed by a dynamical system model. Each…

Systems and Control · Electrical Eng. & Systems 2023-09-19 Shinkyu Park , Julian Barreiro-Gomez

Various social contexts ranging from public goods provision to information collection can be depicted as games of strategic interactions, where a player's well-being depends on her own action as well as on the actions taken by her…

Physics and Society · Physics 2015-04-01 Giulio Cimini , Claudio Castellano , Angel Sánchez

The environment has a strong influence on a population's evolutionary dynamics. Driven by both intrinsic and external factors, the environment is subject to continual change in nature. To capture an ever-changing environment, we consider a…

Populations and Evolution · Quantitative Biology 2022-02-18 Qi Su , Alex McAvoy , Long Wang , Martin A. Nowak

This work considers stochastic differential games with a large number of players, whose costs and dynamics interact through the empirical distribution of both their states and their controls. We develop a new framework to prove convergence…

Probability · Mathematics 2022-03-24 Mathieu Laurière , Ludovic Tangpi