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We introduce the Funding Game, in which $m$ identical resources are to be allocated among $n$ selfish agents. Each agent requests a number of resources $x_i$ and reports a valuation $\tilde{v}_i(x_i)$, which verifiably {\em lower}-bounds…

计算机科学与博弈论 · 计算机科学 2012-11-16 Amotz Bar-Noy , Yi Gai , Matthew P. Johnson , Bhaskar Krishnamachari , George Rabanca

Nash equilibrium serves as a fundamental mathematical tool in economics and game theory. However, it classically assumes knowledge of player utilities, whereas economics generally regards preferences as more fundamental. To leverage…

计算机科学与博弈论 · 计算机科学 2026-05-11 Ian Gemp , Crystal Qian , Marc Lanctot , Kate Larson

We introduce a novel class of Nash equilibrium seeking dynamics for non-cooperative games with a finite number of players, where the convergence to the Nash equilibrium is bounded by a KL function with a settling time that can be upper…

最优化与控制 · 数学 2020-12-25 Jorge I. Poveda , Miroslav Krstic , Tamer Basar

A central goal in algorithmic game theory is to analyze the performance of decentralized multiagent systems, like communication and information networks. In the absence of a central planner who can enforce how these systems are utilized,…

计算机科学与博弈论 · 计算机科学 2022-05-10 Vasilis Gkatzelis , Kostas Kollias , Alkmini Sgouritsa , Xizhi Tan

We study stable matching problems in networks where players are embedded in a social context, and may incorporate friendship relations or altruism into their decisions. Each player is a node in a social network and strives to form a good…

计算机科学与博弈论 · 计算机科学 2012-04-27 Elliot Anshelevich , Onkar Bhardwaj , Martin Hoefer

We study the problem of achieving decentralized coordination by a group of strategic decision makers choosing to engage or not in a task in a stochastic setting. First, we define a class of symmetric utility games that encompass a broad…

系统与控制 · 电气工程与系统科学 2023-04-05 Marcos M. Vasconcelos , Behrouz Touri

Algorithmic decision-making in societal contexts, such as retail pricing, loan administration, recommendations on online platforms, etc., can be framed as stochastic optimization under bandit feedback, which typically requires…

机器学习 · 计算机科学 2024-10-22 Jad Salem , Swati Gupta , Vijay Kamble

We consider a model of priced resource sharing that combines both queueing behavior and strategic behavior. We study a priority service model where a single server allocates its capacity to agents in proportion to their payment to the…

计算机科学与博弈论 · 计算机科学 2012-06-05 Yu Wu , Loc Bui , Ramesh Johari

We study bottleneck routing games where the social cost is determined by the worst congestion on any edge in the network. Bottleneck games have been studied in the literature by having the player's utility costs to be determined by the…

计算机科学与博弈论 · 计算机科学 2009-11-24 Rajgopal Kannan , Costas Busch

We consider a multilevel network game, where nodes can improve their communication costs by connecting to a high-speed network. The $n$ nodes are connected by a static network and each node can decide individually to become a gateway to the…

计算机科学与博弈论 · 计算机科学 2014-09-19 Sebastian Abshoff , Andreas Cord-Landwehr , Daniel Jung , Alexander Skopalik

We broaden the basis of non-cooperative game theory by considering miscoordination on a solution concept. For any solution concept, we extend the solution set of a strategic-form game to a transition set. This set contains profiles where…

计算机科学与博弈论 · 计算机科学 2023-12-05 Gleb Polevoy

This paper investigates the efficiency loss in social cost caused by strategic bidding behavior of individual participants in a supply-demand balancing market, and proposes a mechanism to fully recover equilibrium social optimum via…

最优化与控制 · 数学 2021-06-22 Kaiying Lin , Beibei Wang , Pengcheng You

Congestion games constitute an important class of games to model resource allocation by different users. As computing an exact or even an approximate pure Nash equilibrium is in general PLS-complete, Caragiannis et al. (2011) present a…

计算机科学与博弈论 · 计算机科学 2020-08-03 Alexander Skopalik , Vipin Ravindran Vijayalakshmi

We study the efficiency of the proportional allocation mechanism, that is widely used to allocate divisible resources. Each agent submits a bid for each divisible resource and receives a fraction proportional to her bids. We quantify the…

计算机科学与博弈论 · 计算机科学 2015-07-28 George Christodoulou , Alkmini Sgouritsa , Bo Tang

We study the inefficiency of mixed equilibria, expressed as the price of anarchy, of all-pay auctions in three different environments: combinatorial, multi-unit and single-item auctions. First, we consider item-bidding combinatorial…

计算机科学与博弈论 · 计算机科学 2015-08-06 George Christodoulou , Alkmini Sgouritsa , Bo Tang

We model a system of n asymmetric firms selling a homogeneous good in a common market through a pay-as-bid auction. Every producer chooses as its strategy a supply function returning the quantity S(p) that it is willing to sell at a minimum…

系统与控制 · 电气工程与系统科学 2023-06-14 Martina Vanelli , Giacomo Como , Fabio Fagnani

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…

最优化与控制 · 数学 2023-10-31 Afrooz Jalilzadeh , Farzad Yousefian , Mohammadjavad Ebrahimi

We investigate the price of anarchy (PoA) in non-atomic congestion games when the total demand $T$ gets very large. First results in this direction have recently been obtained by \cite{Colini2016On, Colini2017WINE, Colini2017arxiv} for…

计算机科学与博弈论 · 计算机科学 2021-07-20 Wu Zijun , Moehring Rolf H. , Chen Yanyan , Xu Dachuan

We study selfish routing games where users can choose between regular and priority service for each network edge on their chosen path. Priority users pay an additional fee, but in turn they may travel the edge prior to non-priority users,…

计算机科学与博弈论 · 计算机科学 2026-02-09 Yang Li , Alexander Skopalik , Marc Uetz

The price of anarchy and price of stability are three well-studied performance metrics that seek to characterize the inefficiency of equilibria in distributed systems. The distinction between these two performance metrics centers on the…

计算机科学与博弈论 · 计算机科学 2020-03-17 Vinod Ramaswamy , Dario Paccagnan , Jason R. Marden