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How can a social planner adaptively incentivize selfish agents who are learning in a strategic environment to induce a socially optimal outcome in the long run? We propose a two-timescale learning dynamics to answer this question in both…

Computer Science and Game Theory · Computer Science 2022-04-13 Chinmay Maheshwari , Kshitij Kulkarni , Manxi Wu , Shankar Sastry

The Axelrod model for the dissemination of culture exhibits a rich spatial distribution of cultural domains, which depends on the values of the two model parameters: $F$, the number of cultural features and $q$, the common number of states…

Physics and Society · Physics 2015-04-22 Elias J. P. Biral , Paulo F. C. Tilles , José F. Fontanari

We consider the problem of controlling the group behavior of a large number of dynamic systems that are constantly interacting with each other. These systems are assumed to have identical dynamics (e.g., birds flock, robot swarm) and their…

Optimization and Control · Mathematics 2021-08-18 Yongxin Chen

Nash`s classical bargaining solution suggests that n players in a non-cooperative bargaining situation should find a solution that maximizes the product of each player's utility functions. We consider a special case: Suppose that the…

Analysis of PDEs · Mathematics 2017-12-21 Micah Warren

The Bayesian persuasion paradigm of strategic communication models interaction between a privately-informed agent, called the sender, and an ignorant but rational agent, called the receiver. The goal is typically to design a (near-)optimal…

Computer Science and Game Theory · Computer Science 2021-06-21 Ronen Gradwohl , Niklas Hahn , Martin Hoefer , Rann Smorodinsky

This paper considers distributed optimization problems, where each agent cooperatively minimizes the sum of local objective functions through the communication with its neighbors. The widely adopted distributed gradient method in solving…

Optimization and Control · Mathematics 2025-08-19 Yeming Xu , Ziyuan Guo , Kaihong Lu , Huanshui Zhang

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

This paper proposes a novel game-theoretical autonomous decision-making framework to address a task allocation problem for a swarm of multiple agents. We consider cooperation of self-interested agents, and show that our proposed…

Multiagent Systems · Computer Science 2018-11-30 Inmo Jang , Hyo-Sang Shin , Antonios Tsourdos

We study the problem of distributed cooperative learning, where a group of agents seeks to agree on a set of hypotheses that best describes a sequence of private observations. In the scenario where the set of hypotheses is large, we propose…

Machine Learning · Computer Science 2021-09-22 Mohammad Taha Toghani , César A. Uribe

We consider the framework of average aggregative games, where the cost function of each agent depends on his own strategy and on the average population strategy. We focus on the case in which the agents are coupled not only via their cost…

Systems and Control · Computer Science 2017-10-18 Francesca Parise , Basilio Gentile , John Lygeros

We investigate the problem of cross-cultural interactions through mass media in a model where two populations of social agents, each with its own internal dynamics, get information about each other through reciprocal global interactions. As…

Physics and Society · Physics 2012-12-18 J. C. González-Avella , M. G. Cosenza , M. San Miguel

We study the one-dimensional version of Axelrod's model of cultural transmission from the point of view of optimization dynamics. We show the existence of a Lyapunov potential for the dynamics. The global minimum of the potential, or…

Condensed Matter · Physics 2011-06-17 Konstantin Klemm , Victor M. Eguiluz , Raul Toral , Maxi San Miguel

Models of economic decision makers often include idealized assumptions, such as rationality, perfect foresight, and access to all relevant pieces of information. These assumptions often assure the models' internal validity, but, at the same…

General Economics · Economics 2021-07-09 Patrick Reinwald , Stephan Leitner , Friederike Wall

In this work we introduce an evolutionary strategy to solve combinatorial optimization tasks, i.e. problems characterized by a discrete search space. In particular, we focus on the Traveling Salesman Problem (TSP), i.e. a famous problem…

Disordered Systems and Neural Networks · Physics 2016-08-05 Marco Alberto Javarone

We consider the setting of agents cooperatively minimizing the sum of local objectives plus a regularizer on a graph. This paper proposes a primal-dual method in consideration of three distinctive attributes of real-life multi-agent…

Optimization and Control · Mathematics 2023-12-11 Ziyi Yu , Nikolaos M. Freris

Rogers' diffusion of innovations theory asserts that cultural similarity among individuals plays a crucial role in the acceptance of an innovation in a community. However, most studies on the diffusion of innovations have relied on…

In this work, we study stochastic one-shot games where agents' utilities depend on the collective strategy profiles of other agents as well as on some well-behaved randomness. While each decision-maker is agnostic to the random variable's…

Optimization and Control · Mathematics 2026-05-18 Nirabhra Mandal , Sonia Martínez

We study a class of distributionally robust games where agents are allowed to heterogeneously choose their risk aversion with respect to distributional shifts of the uncertainty. In our formulation, heterogeneous Wasserstein ball…

Optimization and Control · Mathematics 2025-12-08 Zifan Wang , Georgios Pantazis , Sergio Grammatico , Michael M. Zavlanos , Karl H. Johansson

Natural languages have been argued to evolve under pressure to efficiently compress meanings into words by optimizing the Information Bottleneck (IB) complexity-accuracy tradeoff. However, the underlying social dynamics that could drive the…

Computation and Language · Computer Science 2026-03-18 Nathaniel Imel , Richard Futrell , Michael Franke , Noga Zaslavsky

Multi-agent interactions, such as communication, teaching, and bluffing, often rely on higher-order social inference, i.e., understanding how others infer oneself. Such intricate reasoning can be effectively modeled through nested…

Artificial Intelligence · Computer Science 2023-08-23 Kunal Jha , Tuan Anh Le , Chuanyang Jin , Yen-Ling Kuo , Joshua B. Tenenbaum , Tianmin Shu