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In multiplayer games, self-interested behavior among the players can harm the social welfare. Tax mechanisms are a common method to alleviate this issue and induce socially optimal behavior. In this work, we take the initial step of…

计算机科学与博弈论 · 计算机科学 2025-01-16 Qiwen Cui , Maryam Fazel , Simon S. Du

Rosenthal (1973) introduced the class of congestion games and proved that they always possess a Nash equilibrium in pure strategies. Fotakis et al. (2005) introduce the notion of a greedy strategy tuple, where players sequentially and…

计算机科学与博弈论 · 计算机科学 2012-08-10 Sergey Kuniavsky , Rann Smorodinsky

Consider a two-person zero-sum search game between a hider and a searcher. The hider hides among $n$ discrete locations, and the searcher successively visits individual locations until finding the hider. Known to both players, a search at…

机器学习 · 统计学 2021-03-18 Jake Clarkson , Kyle Y. Lin , Kevin D. Glazebrook

In cooperative game theory, the primary focus is the equitable allocation of payoffs or costs among agents. However, in the practical applications of cooperative games, accurately representing games is challenging. In such cases, using an…

计算机科学与博弈论 · 计算机科学 2024-05-21 Soh Kumabe , Yuichi Yoshida

In this paper we consider an extension to the classical definition of congestion games (CG) in which multiple users share the same set of resources and their payoff for using any resource is a function of the total number of users sharing…

计算机科学与博弈论 · 计算机科学 2009-10-23 Sahand Haji Ali Ahmad , Mingyan Liu , Yunnan Wu

We study the equilibrium computation problem for two classical resource allocation games: atomic splittable congestion games and multimarket Cournot oligopolies. For atomic splittable congestion games with singleton strategies and…

计算机科学与博弈论 · 计算机科学 2022-05-10 Veerle Tan-Timmermans , Tobias Harks

We analyze, both analytically and numerically, the self-organization of a system of "selfish" adaptive agents playing an arbitrary iterated pairwise game (defined by a 2X2 payoff matrix). Examples of possible games to play are: the…

物理与社会 · 物理学 2009-11-10 H. Fort , S. Viola

Multiplayer games with selfish agents naturally occur in the design of distributed and embedded systems. As the goals of selfish agents are usually neither equivalent nor antagonistic to each other, such games are non zero-sum games. We…

计算机科学与博弈论 · 计算机科学 2012-12-19 Thomas Brihaye , Julie De Pril , Sven Schewe

We conduct a comprehensive analysis of the discrete-time exponential-weights dynamic with a constant step size on all general-sum and symmetric $2 \times 2$ normal-form games, i.e. games with $2$ pure strategies per player, and where the…

计算机科学与博弈论 · 计算机科学 2026-01-22 Guanghui Wang , Krishna Acharya , Lokranjan Lakshmikanthan , Juba Ziani , Vidya Muthukumar

A celebrated result in the interface of online learning and game theory guarantees that the repeated interaction of no-regret players leads to a coarse correlated equilibrium (CCE) -- a natural game-theoretic solution concept. Despite the…

计算机科学与博弈论 · 计算机科学 2024-11-05 Ioannis Anagnostides , Alkis Kalavasis , Tuomas Sandholm

We consider game-theoretically secure distributed protocols for coalition games that approximate the Shapley value with small multiplicative error. Since all known existing approximation algorithms for the Shapley value are randomized, it…

计算机科学与博弈论 · 计算机科学 2024-12-30 T-H. Hubert Chan , Qipeng Kuang , Quan Xue

We introduce one-way games, a framework motivated by applications in large-scale power restoration, humanitarian logistics, and integrated supply-chains. The distinguishable feature of the games is that the payoff of some player is…

计算机科学与博弈论 · 计算机科学 2015-07-28 Andres Abeliuk , Gerardo Berbeglia , Pascal Van Hentenryck

We present a fully polynomial-time approximation scheme (FPTAS) for computing equilibria in congestion games, under smoothed running-time analysis. More precisely, we prove that if the resource costs of a congestion game are randomly…

计算机科学与博弈论 · 计算机科学 2024-05-21 Yiannis Giannakopoulos

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

We study the classic divide-and-choose method for equitably allocating divisible goods between two players who are rational, self-interested Bayesian agents. The players have additive values for the goods. The prior distributions on those…

计算机科学与博弈论 · 计算机科学 2024-10-22 Jamie Tucker-Foltz , Richard Zeckhauser

We study incentive designs for a class of stochastic Stackelberg games with one leader and a large number of (finite as well as infinite population of) followers. We investigate whether the leader can craft a strategy under a dynamic…

计算机科学与博弈论 · 计算机科学 2024-02-13 Sina Sanjari , Subhonmesh Bose , Tamer Başar

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

We consider an autonomous navigation problem, whereby a traveler aims at traversing an environment in which an adversary tries to set an ambush. A two players zero sum game is introduced. Players' strategies are computed as random path…

机器人学 · 计算机科学 2016-12-08 Emmanuel Boidot , Aude Marzuoli , Eric Feron

Due to the lack of coordination, it is unlikely that the selfish players of a strategic game reach a socially good state. A possible way to cope with selfishness is to compute a desired outcome (if it is tractable) and impose it. However…

计算机科学与博弈论 · 计算机科学 2010-12-20 Bruno Escoffier , Laurent Gourvès , Jérôme Monnot

We consider the dynamic behavior of several variants of the Network Creation Game, introduced by Fabrikant et al. [PODC'03]. Equilibrium networks in these models have desirable properties like low social cost and small diameter, which makes…

计算机科学与博弈论 · 计算机科学 2013-05-29 Bernd Kawald , Pascal Lenzner