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In this paper, we consider a dynamic equilibrium transportation problem. There is a fixed number of cars moving from origin to destination areas. Preferences for arrival times are expressed as a cost of arriving before or after the…

最优化与控制 · 数学 2024-09-02 Victoria Guseva , Ilya Sklonin , Irina Podlipnova , Demyan Yarmoshik , Alexander Gasnikov

In game theory, mechanism design is concerned with the design of incentives so that a desired outcome of the game can be achieved. In this paper, we study the design of incentives so that a desirable equilibrium is obtained, for instance,…

计算机科学与博弈论 · 计算机科学 2021-06-21 Julian Gutierrez , Muhammad Najib , Giuseppe Perelli , Michael Wooldridge

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

In this paper we present a new competitive packet routing model with edge priorities. We consider players that route selfishly through a network over time and try to reach their destinations as fast as possible. If the number of players who…

计算机科学与博弈论 · 计算机科学 2018-08-22 Robert Scheffler , Martin Strehler , Laura Vargas Koch

The optimal value computation for turned-based stochastic games with reachability objectives, also known as simple stochastic games, is one of the few problems in $NP \cap coNP$ which are not known to be in $P$. However, there are some…

计算复杂性 · 计算机科学 2014-08-10 David Auger , Pierre COUCHENEY , Yann Strozecki

This work analyzes the minimum tollbooth problem in atomic network congestion games with unsplittable flows. The goal is to place tolls on edges, such that there exists a pure Nash equilibrium in the tolled game that is a social optimum in…

计算机科学与博弈论 · 计算机科学 2021-04-01 Julian Nickerl

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…

理论经济学 · 经济学 2021-05-06 Enxian Chen , Lei Qiao , Xiang Sun , Yeneng Sun

We study equilibrium computation with extensive-form correlation in two-player turn-taking stochastic games. Our main results are two-fold: (1) We give an algorithm for computing a Stackelberg extensive-form correlated equilibrium (SEFCE),…

计算机科学与博弈论 · 计算机科学 2024-12-24 Hanrui Zhang , Yu Cheng , Vincent Conitzer

We study the complexity of equilibrium computation in discrete preference games. These games were introduced by Chierichetti, Kleinberg, and Oren (EC '13, JCSS '18) to model decision-making by agents in a social network that choose a…

计算机科学与博弈论 · 计算机科学 2019-05-29 Phani Raj Lolakapuri , Umang Bhaskar , Ramasuri Narayanam , Gyana R Parija , Pankaj S Dayama

Nash equilibrium is one of the most influential solution concepts in game theory. With the development of computer science and artificial intelligence, there is an increasing demand on Nash equilibrium computation, especially for Internet…

计算机科学与博弈论 · 计算机科学 2023-12-19 Hanyu Li , Wenhan Huang , Zhijian Duan , David Henry Mguni , Kun Shao , Jun Wang , Xiaotie Deng

In this paper we introduce the novel framework of distributionally robust games. These are multi-player games where each player models the state of nature using a worst-case distribution, also called adversarial distribution. Thus each…

最优化与控制 · 数学 2017-07-25 Dario Bauso , Jian Gao , Hamidou Tembine

This work proposes a novel distributed approach for computing a Nash equilibrium in convex games with restricted strongly monotone pseudo-gradients. By leveraging the idea of the centralized operator extrapolation method presented in [4] to…

最优化与控制 · 数学 2023-10-25 Tatiana Tatarenko , Angelia Nedich

Reward allocation, also known as the credit assignment problem, has been an important topic in economics, engineering, and machine learning. An important concept in reward allocation is the core, which is the set of stable allocations where…

计算机科学与博弈论 · 计算机科学 2024-11-01 Nam Phuong Tran , The Anh Ta , Shuqing Shi , Debmalya Mandal , Yali Du , Long Tran-Thanh

How can we design mechanisms to promote efficient use of shared resources? Here, we answer this question in relation to the well-studied class of atomic congestion games, used to model a variety of problems, including traffic routing.…

计算机科学与博弈论 · 计算机科学 2021-03-12 Dario Paccagnan , Rahul Chandan , Bryce L Ferguson , Jason R Marden

Colonel Blotto games with discrete strategy spaces effectively illustrate the intricate nature of multidimensional strategic reasoning. This paper studies the equilibrium set of such games where, in line with prior experimental work, the…

计算机科学与博弈论 · 计算机科学 2024-03-28 Christian Ewerhart , Stanisław Kaźmierowski

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…

计算机科学与博弈论 · 计算机科学 2025-12-24 Fatemeh Fardno , S. Rasoul Etesami

We introduce Shortest Connection Game, a two-player game played on a directed graph with edge costs. Given two designated vertices in which they start, the players take turns in choosing edges emanating from the vertex they are currently…

计算机科学与博弈论 · 计算机科学 2015-11-26 Andreas Darmann , Ulrich Pferschy , Joachim Schauer

We consider the complexity of finding a correlated equilibrium of an $n$-player game in a model that allows the algorithm to make queries on players' payoffs at pure strategy profiles. Randomized regret-based dynamics are known to yield an…

计算机科学与博弈论 · 计算机科学 2022-09-22 Sergiu Hart , Noam Nisan

Equilibrium computation in markets usually considers settings where player valuation functions are known. We consider the setting where player valuations are unknown; using a PAC learning-theoretic framework, we analyze some classes of…

计算机科学与博弈论 · 计算机科学 2021-09-10 Vignesh Viswanathan , Omer Lev , Neel Patel , Yair Zick

Correlated equilibria are a fundamental solution concept in game theory. However, despite decades of research, the complexity beyond games of polynomial type -- such as extensive-form games, congestion or routing games, and more broadly…

计算机科学与博弈论 · 计算机科学 2026-05-19 Ioannis Anagnostides , Constantinos Daskalakis , Gabriele Farina , Noah Golowich , Tuomas Sandholm , Brian Hu Zhang