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We study the extent to which decentralized cost-sharing protocols can achieve good price of anarchy (PoA) bounds in network cost-sharing games with $n$ agents. We focus on the model of resource-aware protocols, where the designer has prior…

Computer Science and Game Theory · Computer Science 2020-07-09 George Christodoulou , Vasilis Gkatzelis , Mohamad Latifian , Alkmini Sgouritsa

We study two-player general sum repeated finite games where the rewards of each player are generated from an unknown distribution. Our aim is to find the egalitarian bargaining solution (EBS) for the repeated game, which can lead to much…

Machine Learning · Computer Science 2019-06-05 Aristide Tossou , Christos Dimitrakakis , Jaroslaw Rzepecki , Katja Hofmann

We bound separations between the entangled and classical values for several classes of nonlocal $t$-player games. Our motivating question is whether there is a family of $t$-player XOR games for which the entangled bias is $1$ but for which…

Quantum Physics · Physics 2018-11-28 Tom Bannink , Jop Briët , Harry Buhrman , Farrokh Labib , Troy Lee

In view of the complexity of the dynamics of learning in games, we seek to decompose a game into simpler components where the dynamics' long-run behavior is well understood. A natural starting point for this is Helmholtz's theorem, which…

Computer Science and Game Theory · Computer Science 2024-05-21 Davide Legacci , Panayotis Mertikopoulos , Bary Pradelski

We characterize all the pairs of complementary non-homogenous Beatty sequences $(A_n)_{n\ge 0}$ and $(B_n)_{n\ge 0}$ for which there exists an invariant game having exactly $\{(A_n,B_n)\mid n\ge 0\}\cup \{(B_n,A_n)\mid n\ge 0\}$ as set of…

Combinatorics · Mathematics 2013-12-10 Julien Cassaigne , Eric Duchêne , Michel Rigo

We consider concurrent mean-payoff games, a very well-studied class of two-player (player 1 vs player 2) zero-sum games on finite-state graphs where every transition is assigned a reward between 0 and 1, and the payoff function is the…

Computer Science and Game Theory · Computer Science 2014-10-02 Krishnendu Chatterjee , Rasmus Ibsen-Jensen

Motivated by the sequence form formulation of Koller et al. (GEB'96), this paper defines {\em bilinear games}, and proposes efficient algorithms for its rank based subclasses. Bilinear games are two-player non-cooperative single-shot games…

Computer Science and Game Theory · Computer Science 2011-09-29 Jugal Garg , Albert Xin Jiang , Ruta Mehta

A simple game $(N,v)$ is given by a set $N$ of $n$ players and a partition of~$2^N$ into a set~$\mathcal{L}$ of losing coalitions~$L$ with value $v(L)=0$ that is closed under taking subsets and a set $\mathcal{W}$ of winning coalitions $W$…

Computer Science and Game Theory · Computer Science 2020-04-08 Frits Hof , Walter Kern , Sascha Kurz , Kanstantsin Pashkovich , Daniël Paulusma

This paper considers repeated games in which one player has more information about the game than the other players. In particular, we investigate repeated two-player zero-sum games where only the column player knows the payoff matrix A of…

Computer Science and Game Theory · Computer Science 2023-02-16 Le Cong Dinh , Long Tran-Thanh , Tri-Dung Nguyen , Alain B. Zemkoho

We show that for any eps>0 the problem of finding a factor (2-eps) approximation to the entangled value of a three-player XOR game is NP-hard. Equivalently, the problem of approximating the largest possible quantum violation of a tripartite…

Quantum Physics · Physics 2020-11-16 Thomas Vidick

We show that given an explicit description of a multiplayer game, with a classical verifier and a constant number of players, it is QMA-hard, under randomized reductions, to distinguish between the cases when the players have a strategy…

Quantum Physics · Physics 2019-02-12 Anand Natarajan , Thomas Vidick

In an inverse game problem, one needs to infer the cost function of the players in a game such that a desired joint strategy is a Nash equilibrium. We study the inverse game problem for a class of multiplayer matrix games, where the cost…

Computer Science and Game Theory · Computer Science 2022-10-17 Yue Yu , Jonathan Salfity , David Fridovich-Keil , Ufuk Topcu

An $\alpha$-potential game is a multi-player non-cooperative interaction in which a global potential function approximates individual player rewards up to a structural bias $\alpha$. While identifying a Nash Equilibrium (NE) in generic…

Computer Science and Game Theory · Computer Science 2026-05-19 Claire Chen , Yuheng Zhang

Game-theoretical approach to the analysis of parallel algorithms is proposed. The approach is based on presentation of the parallel computing as a congestion game. In the game processes compete for resources such as core of a central…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-25 O. A. Malafeyev , S. A. Nemnyugin

In this paper we study the N-player nonzero-sum Dynkin game ($N\geq 3$) in continuous time, which is a non-cooperative game where the strategies are stopping times. We show that the game has a Nash equilibrium point for general payoff…

Computer Science and Game Theory · Computer Science 2011-10-27 Hamadene Said , Hassani Mohammed

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…

Computer Science and Game Theory · Computer Science 2026-01-22 Guanghui Wang , Krishna Acharya , Lokranjan Lakshmikanthan , Juba Ziani , Vidya Muthukumar

Parity games are a much researched class of games in NP intersect CoNP that are not known to be in P. Consequently, researchers have considered specialised algorithms for the case where certain graph parameters are small. In this paper, we…

Computer Science and Game Theory · Computer Science 2015-07-01 John Fearnley , Sven Schewe

This paper initiates the study of a class of entangled games, mono-state games, denoted by $(G,\psi)$, where $G$ is a two-player one-round game and $\psi$ is a bipartite state independent of the game $G$. In the mono-state game $(G,\psi)$,…

Quantum Physics · Physics 2019-09-17 Penghui Yao

We study the iteration complexity of decentralized learning of approximate correlated equilibria in incomplete information games. On the negative side, we prove that in $\mathit{extensive}$-$\mathit{form}$ $\mathit{games}$, assuming…

Computer Science and Game Theory · Computer Science 2024-06-05 Binghui Peng , Aviad Rubinstein

A game starts with the empty graph on $n$ vertices, and two player alternate adding edges to the graph. Only moves which do not create a triangle are valid. The game ends when a maximal triangle-free graph is reached. The goal of one player…

Combinatorics · Mathematics 2014-09-30 Csaba Biró , Paul Horn , D. Jacob Wildstrom