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We study the problem of computing an approximate Nash equilibrium of a game whose strategy space is continuous without access to gradients of the utility function. Such games arise, for example, when players' strategies are represented by…

Computer Science and Game Theory · Computer Science 2025-10-28 Carlos Martin , Tuomas Sandholm

In this paper a new multiple access algorithm for cognitive radio networks based on game theory is presented. We address the problem of a multiple access system where the number of users and their types are unknown. In order to do this, the…

Computer Science and Game Theory · Computer Science 2013-05-24 Oscar Filio Rodriguez , Serguei Primak , Valeri Kontorovich , Abdallah Shami

In this paper, a Nash-type fictitious game framework is introduced to handle a time-inconsistent linear-quadratic optimal control. The Nash-type game in this framework is called fictitious as it is between the decision maker (called real…

Optimization and Control · Mathematics 2021-10-04 Yuan-Hua Ni , Binbin Si , Xinzhen Zhang

The notion of interchangeability has been introduced by John Nash in one of his original papers on equilibria. This paper studies properties of Nash equilibria interchangeability in cellular games that model behavior of infinite chain of…

Computer Science and Game Theory · Computer Science 2014-02-10 Pavel Naumov , Margaret Protzman

In this paper, we introduce and study a class of games called price-coupling games that arise in many scenarios, especially in the electricity industry. In a price-coupling game, there is a part of the objective function of a player which…

Optimization and Control · Mathematics 2019-01-08 Mathew P. Abraham , Ankur A. Kulkarni

Many decentralized and networked control problems involve decision makers which have either misaligned criteria or subjective priors. In the context of such a setup, in this paper we consider binary signaling problems in which the decision…

Optimization and Control · Mathematics 2019-09-06 Serkan Sarıtaş , Sinan Gezici , Serdar Yüksel

The behavior of rational and selfish players (receivers) over a multiple-input multiple-output Gaussian broadcast channel is investigated using the framework of noncooperative game theory. In contrast to the game-theoretic model of the…

Information Theory · Computer Science 2012-03-16 Srinivas Yerramalli , Rahul Jain , Urbashi Mitra

We study equilibrium concepts in non-cooperative games under uncertainty where both beliefs and mixed strategies are represented by non-additive measures (capacities). In contrast to the classical Nash framework based on additive…

Computer Science and Game Theory · Computer Science 2026-03-06 Taras Radul

Multi-leader multi-follower games are a class of hierarchical games in which a collection of leaders compete in a Nash game constrained by the equilibrium conditions of another Nash game amongst the followers. The resulting equilibrium…

Optimization and Control · Mathematics 2014-08-27 Ankur A. Kulkarni , Uday V. Shanbhag

Coordination games have been of interest to game theorists, economists, and ecologists for many years to study such problems as the emergence of local conventions and the evolution of cooperative behavior. Approaches for understanding the…

Computer Science and Game Theory · Computer Science 2025-07-09 John S. McAlister , Nina H. Fefferman

In this paper, we propose a novel class of Nash problems for Cognitive Radio (CR) networks composed of multiple primary users (PUs) and secondary users (SUs) wherein each SU (player) competes against the others to maximize his own…

Information Theory · Computer Science 2015-06-12 Jong-Shi Pang , Gesualdo Scutari

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

We introduce Contested Logistics Games, a variant of logistics problems that account for the presence of an adversary that can disrupt the movement of goods in selected areas. We model this as a large two-player zero-sum one-shot game…

Computer Science and Game Theory · Computer Science 2024-08-26 Jakub Cerny , Chun Kai Ling , Darshan Chakrabarti , Jingwen Zhang , Gabriele Farina , Christian Kroer , Garud Iyengar

In this note, we study a class of deterministic finite-horizon linear-quadratic difference games with coupled affine inequality constraints involving both state and control variables. We show that the necessary conditions for the existence…

Optimization and Control · Mathematics 2025-10-06 Partha Sarathi Mohapatra , Puduru Viswanadha Reddy

We study the existence and computation of Nash equilibria in concave games where the players' admissible strategies are subject to shared coupling constraints. Under playerwise concavity of constraints, we prove existence of Nash…

Computer Science and Game Theory · Computer Science 2026-02-09 Philip Jordan , Maryam Kamgarpour

We consider a class of two-player dynamic stochastic nonzero-sum games where the state transition and observation equations are linear, and the primitive random variables are Gaussian. Each controller acquires possibly different dynamic…

Systems and Control · Computer Science 2014-01-21 Abhishek Gupta , Ashutosh Nayyar , Cedric Langbort , Tamer Basar

In various economic environments, people observe other people with whom they strategically interact. We can model such information-sharing relations as an information network, and the strategic interactions as a game on the network. When…

Methodology · Statistics 2019-11-27 Nathan Canen , Jacob Schwartz , Kyungchul Song

We propose a generic strategic network resource sharing game between a set of players representing operators. The players negotiate which sets of players share given resources, serving users with varying sensitivity to interference. We…

Computer Science and Game Theory · Computer Science 2016-05-31 Sofonias Hailu , Ragnar Freij-Hollanti , Alexis A. Dowhuszko , Olav Tirkkonen

Considering infinite-horizon, discrete-time, linear quadratic, N-player dynamic games with scalar dynamics, a graphical representation of feedback Nash equilibrium solutions is provided. This representation is utilised to derive conditions…

Optimization and Control · Mathematics 2025-01-27 Benita Nortmann , Mario Sassano , Thulasi Mylvaganam

In recent work, semantic games of independence-friendly logic were studied in strategic form in terms of (mixed strategy) Nash equilibria. The class of strategic games of independence-friendly logic is contained in the class of win-loss,…

Logic · Mathematics 2014-01-21 Merlijn Sevenster
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