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In this work, we study the system of interacting non-cooperative two Q-learning agents, where one agent has the privilege of observing the other's actions. We show that this information asymmetry can lead to a stable outcome of population…

Machine Learning · Computer Science 2021-01-26 Ezra Tampubolon , Haris Ceribasic , Holger Boche

Power system operators and electric utility companies often impose a coincident peak demand charge on customers when the aggregate system demand reaches its maximum. This charge incentivizes customers to strategically shift their peak usage…

Systems and Control · Electrical Eng. & Systems 2025-05-16 Liudong Chen , Jay Sethuraman , Bolun Xu

This paper discusses a special type of multi-user communication scenario, in which users' utilities are linearly impacted by their competitors' actions. First, we explicitly characterize the Nash equilibrium and Pareto boundary of the…

Computer Science and Game Theory · Computer Science 2009-08-13 Yi Su , Mihaela van der Schaar

In this paper, we investigate the multiplayer General Lotto game across multiple battlefields, a significant variant of the Colonel Blotto game. In this version, each player employs a probability distribution for resource allocation,…

Computer Science and Game Theory · Computer Science 2025-10-07 Yan Liu , Bonan Ni , Weiran Shen , Zihe Wang , Jie Zhang

In this paper, we present and analyze the properties of a new class of games - the spatial congestion game (SCG), which is a generalization of the classical congestion game (CG). In a classical congestion game, multiple users share the same…

Computer Science and Game Theory · Computer Science 2010-12-13 Sahand Ahmad , Cem Tekin , Mingyan Liu , Richard Southwell , Jianwei Huang

We study a class of games in which a finite number of agents each controls a quantity of flow to be routed through a network, and are able to split their own flow between multiple paths through the network. Recent work on this model has…

Computer Science and Game Theory · Computer Science 2007-11-09 P. W. Goldberg , P. Polpinit

When opposing parties compete for a prize, the sunk effort players exert during the conflict can affect the value of the winner's reward. These spillovers can have substantial influence on the equilibrium behavior of participants in…

Theoretical Economics · Economics 2023-02-07 Maria Betto , Matthew W. Thomas

A smartphone user's personal hotspot (pH) allows him to share cellular connection to another (e.g., a traveler) in the vicinity, but such sharing consumes the limited data quota in his two-part tariff plan and may lead to overage charge.…

Computer Science and Game Theory · Computer Science 2018-06-28 Feng Wang , Lingjie Duan , Jianwei Niu

We studied the behavior and variation of utility between the two conflicting players in a closed Nash-equilibrium loop. Our modeling approach also captured the nexus between optimal premium strategizing and firm performance using the…

Theoretical Economics · Economics 2023-11-21 Leonard Mushunje , David Edmund Allen

The paper studies an oligopolistic equilibrium model of financial agents who aim to share their random endowments. The risk-sharing securities and their prices are endogenously determined as the outcome of a strategic game played among all…

General Finance · Quantitative Finance 2016-05-18 Michail Anthropelos

We study the problem of repeated play in a zero-sum game in which the payoff matrix may change, in a possibly adversarial fashion, on each round; we call these Online Matrix Games. Finding the Nash Equilibrium (NE) of a two player zero-sum…

Machine Learning · Computer Science 2020-04-06 Adrian Rivera Cardoso , Jacob Abernethy , He Wang , Huan Xu

We empirically study the interplay between exploration and competition. Systems that learn from interactions with users often engage in exploration: making potentially suboptimal decisions in order to acquire new information for future…

Computer Science and Game Theory · Computer Science 2019-05-03 Guy Aridor , Kevin Liu , Aleksandrs Slivkins , Zhiwei Steven Wu

In congestion games, selfish users behave myopically to crowd to the shortest paths, and the social planner designs mechanisms to regulate such selfish routing through information or payment incentives. However, such mechanism design…

Computer Science and Game Theory · Computer Science 2025-01-15 Hongbo Li , Lingjie Duan

A selfish learner seeks to maximize their own success, disregarding others. When success is measured as payoff in a game played against another learner, mutual selfishness typically fails to produce the optimal outcome for a pair of…

Populations and Evolution · Quantitative Biology 2022-07-07 Alex McAvoy , Yoichiro Mori , Joshua B. Plotkin

We consider multi-agent decision making where each agent optimizes its convex cost function subject to individual and coupling constraints. The constraint sets are compact convex subsets of a Euclidean space. To learn Nash equilibria, we…

Optimization and Control · Mathematics 2018-10-16 Tatiana Tatarenko , Maryam Kamgarpour

The mechanism behind the emergence of cooperation in both biological and social systems is currently not understood. In particular, human behavior in the Ultimatum game is almost always irrational, preferring mutualistic sharing strategies,…

Physics and Society · Physics 2021-09-15 Yunong Chen , Andrew Belmonte , Christopher Griffin

We explore the impact of mutual altruism among the players belonging to the same set -- their tribe -- in a partition of all players in arbitrary strategic games upon the quality of equilibria attained. To this end, we introduce the notion…

Computer Science and Game Theory · Computer Science 2019-07-17 Seunghee Han , Matvey Soloviev , Yuwen Wang

We investigate a spectrum oligopoly where primary users allow secondary access in lieu of financial remuneration. Transmission qualities of the licensed bands fluctuate randomly. Each primary needs to select the price of its channel with…

Computer Science and Game Theory · Computer Science 2014-04-23 Arnob Ghosh , Saswati Sarkar

We consider a stochastic tournament game in which each player is rewarded based on her rank in terms of the completion time of her own task and is subject to cost of effort. When players are homogeneous and the rewards are purely rank…

Optimization and Control · Mathematics 2018-11-02 Erhan Bayraktar , Jakša Cvitanić , Yuchong Zhang

An important task in the analysis of multiagent systems is to understand how groups of selfish players can form coalitions, i.e., work together in teams. In this paper, we study the dynamics of coalition formation under bounded rationality.…

Computer Science and Game Theory · Computer Science 2011-03-03 John Augustine , Ning Chen , Edith Elkind , Angelo Fanelli , Nick Gravin , Dmitry Shiryaev
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