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Nash equilibrium is a common solution concept that captures strategic interaction in electricity market analysis. However, it requires a fundamental but impractical assumption that all market participants are fully rational, implying…

Computer Science and Game Theory · Computer Science 2024-07-15 Lihui Yi , Ermin Wei

The objective of this paper is to identify and analyze the response actions of a set of players embedded in sub-networks in the context of interaction and learning. We characterize strategic network formation as a static game of…

Theoretical Economics · Economics 2022-10-28 Alex Centeno

We consider a 3-player game in the normal form, in which each player has two actions. We assume that the game is symmetric and repeated infinitely many times. At each stage players make their choices knowing only the average payoffs from…

Optimization and Control · Mathematics 2018-05-16 Tadeusz Kufel , Sławomir Plaskacz , Joanna Zwierzchowska

An analysis of several important aspects of competition or conflict in games, social choice and decision theory is presented. Inherent difficulties and complexities in cooperation are highlighted. These have over the years led to a certain…

Optimization and Control · Mathematics 2007-05-23 Elemér E Rosinger

We consider a multi-agent noncooperative game with agents' objective functions being affected by uncertainty. Following a data driven paradigm, we represent uncertainty by means of scenarios and seek a robust Nash equilibrium solution. We…

Optimization and Control · Mathematics 2020-10-15 Filiberto Fele , Kostas Margellos

We consider a nonzero-sum N-player Markov game on an abstract measurable state space with compact metric action spaces. The payoff functions are bounded Carath\'eodory functions and the transitions of the system are assumed to have a…

Optimization and Control · Mathematics 2023-05-09 François Dufour , Tomás Prieto-Rumeau

Computational tractability and social welfare (aka. efficiency) of equilibria are two fundamental but in general orthogonal considerations in algorithmic game theory. Nevertheless, we show that when (approximate) full efficiency can be…

Computer Science and Game Theory · Computer Science 2025-01-10 Ioannis Anagnostides , Tuomas Sandholm

Multi-agent policy-gradient methods have been shown to converge locally near stable Nash equilibria. Local convergence, however, does not determine which equilibrium is reached. We study this question through basin-entry probability with…

Machine Learning · Computer Science 2026-05-19 Yevhen Shcherbinin , Arina Redina , Maxim Kalpin , Vlad Kochetov

The standard risk minimization paradigm of machine learning is brittle when operating in environments whose test distributions are different from the training distribution due to spurious correlations. Training on data from many…

Machine Learning · Computer Science 2020-03-20 Kartik Ahuja , Karthikeyan Shanmugam , Kush R. Varshney , Amit Dhurandhar

Using Sperner's lemma for modified partition of a simplex we will constructively prove the existence of a Nash equilibrium in a finite strategic game with sequentially locally non-constant payoff functions. We follow the Bishop style…

Logic · Mathematics 2018-09-13 Yasuhito Tanaka

We consider the Nash equilibrium problem in a partial-decision information scenario. Specifically, each agent can only receive information from some neighbors via a communication network, while its cost function depends on the strategies of…

Optimization and Control · Mathematics 2021-05-07 Mattia Bianchi , Sergio Grammatico

We investigate the behavior of equilibria in an $M/M/1$ feedback queue where price and time sensitive customers are homogeneous with respect to service valuation and cost per unit time of waiting. Upon arrival, customers can observe the…

Optimization and Control · Mathematics 2022-02-02 Mark Fackrell , Peter Taylor , Jiesen Wang

In this work, we investigate an application of a Nash equilibrium seeking algorithm in a social network. In a networked game each player (user) takes action in response to other players' actions in order to decrease (increase) his cost…

Computer Science and Game Theory · Computer Science 2017-03-28 Farzad Salehisadaghiani

This paper considers incentives to provide goods that are partially shareable along social links. We introduce a model in which each individual in a social network not only decides how much of a shareable good to provide, but also decides…

Theoretical Economics · Economics 2023-06-05 Stefanie Gerke , Gregory Gutin , Sung-Ha Hwang , Philip Neary

This paper studies the distributed generalized Nash equilibrium seeking problem for aggregative games with coupling constraints, where each player optimizes its strategy depending on its local cost function and the estimated strategy…

Optimization and Control · Mathematics 2025-03-12 Wenqing Zhao , Antai Xie , Yuchi Wu , Xinlei Yi , Xiaoqiang Ren

Self-optimizing behaviors can lead to outcomes where collective benefits are ultimately destroyed, a well-known phenomenon known as the ``tragedy of the commons". These scenarios are widely studied using game-theoretic approaches to analyze…

Computer Science and Game Theory · Computer Science 2026-02-25 Yamin Vahmian , Keith Paarporn

We design a distributed algorithm to seek generalized Nash equilibria of a robust game with uncertain coupled constraints. Due to the uncertainty of parameters in set constraints, we aim to find a generalized Nash equilibrium in the worst…

Optimization and Control · Mathematics 2022-04-05 Gehui Xu , Guanpu Chen , Hongsheng Qi

This paper investigates the relationship between the team-optimal solution and the Nash equilibrium (NE) to assess the impact of self-interested decisions on team performance. In classical team decision problems, team members typically act…

Optimization and Control · Mathematics 2025-08-20 Gehui Xu , Thomas Parisini , Andreas A. Malikopoulos

Nash equilibrium is a solution concept in non-strictly competitive, non-cooperative game theory that finds applications in various scientific and engineering disciplines. A non-strictly competitive, non-cooperative game model is presented…

Quantum Physics · Physics 2015-02-05 Faisal Shah Khan

This paper considers the problem of inverse reinforcement learning in zero-sum stochastic games when expert demonstrations are known to be not optimal. Compared to previous works that decouple agents in the game by assuming optimality in…

Machine Learning · Statistics 2018-06-07 Xingyu Wang , Diego Klabjan