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The Nash equilibrium paradigm, and Rational Choice Theory in general, rely on agents acting independently from each other. This note shows how this assumption is crucial in the definition of Rational Choice Theory. It explains how a…

计算机科学与博弈论 · 计算机科学 2017-03-09 Ghislain Fourny

This article explores the interaction of two agents during a geopolitical operation. Collaborative work is considered, rather than being done alone. However, each agent has the goal of maximizing personal net profit. We will have 3…

最优化与控制 · 数学 2024-05-20 O. A. Malafeyev , V. Vekovtsev

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…

计算机科学中的逻辑 · 计算机科学 2023-06-22 Julian Gutierrez , Paul Harrenstein , Giuseppe Perelli , Michael Wooldridge

Nash equilibrium is a key concept in game theory fundamental for elucidating the equilibrium state of strategic interactions, finding applications in diverse fields such as economics, political science, and biology. However, the Nash…

计算机科学与博弈论 · 计算机科学 2024-04-02 Elie Eshoa , Ali R. Zomorrodi

Nash equilibria provide a principled framework for modeling interactions in multi-agent decision-making and control. However, many equilibrium-seeking methods implicitly assume that each agent has access to the other agents' objectives and…

计算机科学与博弈论 · 计算机科学 2026-03-19 Mahdis Rabbani , Navid Mojahed , Shima Nazari

In interactive multi-agent settings, decision-making and planning are challenging mainly due to the agents' interconnected objectives. Dynamic game theory offers a formal framework for analyzing such intricacies. Yet, solving constrained…

机器人学 · 计算机科学 2025-03-24 Maulik Bhatt , Yixuan Jia , Negar Mehr

In this paper, we study a model of network formation in large populations. Each agent can choose the strength of interaction (i.e. connection) with other agents to find a Nash equilibrium. Different from the recently-developed theory of…

最优化与控制 · 数学 2025-08-07 Gokce Dayanikli , Mathieu Lauriere

An axiomatic characterization of Nash equilibrium is provided for games in normal form. The Nash equilibrium correspondence is shown to be fully characterized by four simple and intuitive axioms, two of which are inspired by contraction and…

理论经济学 · 经济学 2025-12-04 Michele Crescenzi

Nash equilibrium is the most commonly-used notion of equilibrium in game theory. However, it suffers from numerous problems. Some are well known in the game theory community; for example, the Nash equilibrium of repeated prisoner's dilemma…

计算机科学与博弈论 · 计算机科学 2008-12-18 Joseph Y. Halpern

In this tutorial, we provide an introduction to machine learning methods for finding Nash equilibria in games with large number of agents. These types of problems are important for the operations research community because of their…

最优化与控制 · 数学 2024-06-18 Gokce Dayanikli , Mathieu Lauriere

We introduce a new class of games called the networked common goods game (NCGG), which generalizes the well-known common goods game. We focus on a fairly general subclass of the game where each agent's utility functions are the same across…

计算机科学与博弈论 · 计算机科学 2015-05-18 Jinsong Tan

To verify the robustness of a program or protocol, it is common in the computer science community to rely on the theoretical framework of game theory. In particular, if one seeks to enforce a desired property, or specification, despite an…

计算机科学与博弈论 · 计算机科学 2026-05-20 Léonard Brice

Nash equilibria are crucial for understanding game behavior and systems in economics, physics, biology, and computer science. A significant application arises from the connection between Nash equilibria and optimization problems . However,…

量子物理 · 物理学 2025-11-14 Giovanni Ferrannini , Dario di Gregorio , Federico Fissore

We propose a simple yet rich model to extend the notions of Nash equilibria and correlated equilibria of strategic games to the quantum setting, in which we then study the relations between classical and quantum equilibria. Unlike the…

量子物理 · 物理学 2015-03-17 Shengyu Zhang

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…

物理与社会 · 物理学 2015-04-01 Giulio Cimini , Claudio Castellano , Angel Sánchez

The ability to make decisions and to assess potential courses of action is a corner-stone of many AI applications, and usually this requires explicit information about the decision-maker s preferences. IN many applications, preference…

人工智能 · 计算机科学 2013-01-07 Ronen I. Brafman , Carmel Domshlak

Consider an important meeting to be held in a team-based organization. Taking availability constraints into account, an online scheduling poll is being used in order to decide upon the exact time of the meeting. Decisions are to be taken…

计算机科学与博弈论 · 计算机科学 2016-11-29 Robert Bredereck , Jiehua Chen , Rolf Niedermeier , Svetlana Obraztsova , Nimrod Talmon

Network games provide a natural machinery to compactly represent strategic interactions among agents whose payoffs exhibit sparsity in their dependence on the actions of others. Besides encoding interaction sparsity, however, real networks…

计算工程、金融与科学 · 计算机科学 2021-01-22 Kun Jin , Yevgeniy Vorobeychik , Mingyan Liu

We characterize Nash equilibrium by postulating coherent behavior across varying games. Nash equilibrium is the only solution concept that satisfies the following axioms: (i) strictly dominant actions are played with positive probability,…

理论经济学 · 经济学 2024-07-02 Florian Brandl , Felix Brandt

The common sense suggests that networks are not random mazes of purposeless connections, but that these connections are organised so that networks can perform their functions well. One function common to many networks is targeted transport…

物理与社会 · 物理学 2015-07-24 András Gulyás , József Bíró , Attila Kőrösi , Gábor Rétvári , Dmitri Krioukov