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The goal in this paper is to approximate the Price of Stability (PoS) in stochastic Nash games using stochastic approximation (SA) schemes. PoS is amongst the most popular metrics in game theory and provides an avenue for estimating the…

Optimization and Control · Mathematics 2023-10-31 Afrooz Jalilzadeh , Farzad Yousefian , Mohammadjavad Ebrahimi

We consider non-cooperative facility location games where both facilities and clients act strategically and heavily influence each other. This contrasts established game-theoretic facility location models with non-strategic clients that…

Computer Science and Game Theory · Computer Science 2024-06-17 Simon Krogmann , Pascal Lenzner , Louise Molitor , Alexander Skopalik

Standard bin packing is the problem of partitioning a set of items with positive sizes no larger than 1 into a minimum number of subsets (called bins) each having a total size of at most 1. In bin packing games, an item has a positive…

Computer Science and Game Theory · Computer Science 2015-03-20 Gyorgy Dosa , Leah Epstein

Distributed Nash equilibrium (NE) seeking problem for multi-coalition games has attracted increasing attention in recent years, but the research mainly focuses on the case without agreement demand within coalitions. This paper considers a…

Optimization and Control · Mathematics 2021-12-10 Jialing Zhou , Yuezu Lv , Guanghui Wen , Jinhu Lv , Dezhi Zheng

Motivated by applications in job scheduling, queuing networks, and load balancing in cyber-physical systems, we develop and analyze a game-theoretic framework to balance the load among servers in static and dynamic settings. In these…

Computer Science and Game Theory · Computer Science 2025-12-24 Fatemeh Fardno , S. Rasoul Etesami

We consider colorful bin packing games in which selfish players control a set of items which are to be packed into a minimum number of unit capacity bins. Each item has one of $m\geq 2$ colors and cannot be packed next to an item of the…

Computer Science and Game Theory · Computer Science 2017-11-13 Vittorio Bilò , Francesco Cellinese , Giovanna Melideo , Gianpiero Monaco

We study a game with \emph{strategic} vendors who own multiple items and a single buyer with a submodular valuation function. The goal of the vendors is to maximize their revenue via pricing of the items, given that the buyer will buy the…

Computer Science and Game Theory · Computer Science 2014-08-04 Omer Lev , Joel Oren , Craig Boutilier , Jeffery S. Rosenschein

Drawing intuition from a (physical) hydraulic system, we present a novel framework, constructively showing the existence of a strong Nash equilibrium in resource selection games (i.e., asymmetric singleton congestion games) with nonatomic…

Computer Science and Game Theory · Computer Science 2016-06-07 Yannai A. Gonczarowski , Moshe Tennenholtz

This paper examines the impact of agents' myopic optimization on the efficiency of systems comprised by many selfish agents. In contrast to standard congestion games where agents interact in a one-shot fashion, in our model each agent…

Computer Science and Game Theory · Computer Science 2025-04-30 Yunpeng Li , Antonis Dimakis , Costas A. Courcoubetis

In this paper, we investigate the noncooperative games of multi-agent systems. Different from existing noncooperative games, our formulation involves the high-order nonlinear dynamics of players, and the communication topologies among…

Systems and Control · Electrical Eng. & Systems 2021-12-17 Zhenhua Deng , Jin Luo

The design of distributed algorithms is central to the study of multiagent systems control. In this paper, we consider a class of combinatorial cost-minimization problems and propose a framework for designing distributed algorithms with a…

Systems and Control · Computer Science 2019-03-18 Rahul Chandan , Dario Paccagnan , Jason R. Marden

Traditionally, most consumers of electricity pay for their consumptions according to a fixed rate. With the advancement of Smart Grid technologies, large-scale implementation of variable-rate metering becomes more practical. As a result,…

Computer Science and Game Theory · Computer Science 2011-06-14 Tarun Agarwal , Shuguang Cui

In this study, we formulate positive and negative externalities caused by changes in the supply of shared vehicles as ride sharing games. The study aims to understand the price of anarchy (PoA) and its improvement via a coordination…

Computer Science and Game Theory · Computer Science 2016-04-05 Tatsuya Iwase , Takahiro Shiga

This paper proposes a new equilibrium concept "robust perfect equilibrium" for non-cooperative games with a continuum of players, incorporating three types of perturbations. Such an equilibrium is shown to exist (in symmetric mixed…

Theoretical Economics · Economics 2021-05-06 Enxian Chen , Lei Qiao , Xiang Sun , Yeneng Sun

Motivated by empirical evidence that individuals within group decision making simultaneously aspire to maximize utility and avoid inequality we propose a criterion based on the entropy-norm pair for geometric selection of strict Nash…

Physics and Society · Physics 2020-03-23 A. B. Leoneti , G. A. Prataviera

An extensive literature in economics and social science addresses contests, in which players compete to outperform each other on some measurable criterion, often referred to as a player's score, or output. Players incur costs that are an…

Computer Science and Game Theory · Computer Science 2013-08-01 Leslie Ann Goldberg , Paul W. Goldberg , Piotr Krysta , Carmine Ventre

We present a deterministic polynomial-time algorithm for computing $d^{d+o(d)}$-approximate (pure) Nash equilibria in (proportional sharing) weighted congestion games with polynomial cost functions of degree at most $d$. This is an…

Computer Science and Game Theory · Computer Science 2020-11-26 Yiannis Giannakopoulos , Georgy Noarov , Andreas S. Schulz

We consider the problem in which n items arrive to a market sequentially over time, where two agents compete to choose the best possible item. When an agent selects an item, he leaves the market and obtains a payoff given by the value of…

Computer Science and Game Theory · Computer Science 2022-04-12 Fabien Gensbittel , Dana Pizarro , Jérôme Renault

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

In this paper, we study nonzero-sum separable games, which are continuous games whose payoffs take a sum-of-products form. Included in this subclass are all finite games and polynomial games. We investigate the structure of equilibria in…

Computer Science and Game Theory · Computer Science 2010-04-26 Noah D. Stein , Asuman Ozdaglar , Pablo A. Parrilo