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We study the complexity of computing equilibria in binary public goods games on undirected graphs. In such a game, players correspond to vertices in a graph and face a binary choice of performing an action, or not. Each player's decision…

Computer Science and Game Theory · Computer Science 2023-05-22 Max Klimm , Maximilian J. Stahlberg

We study one-shot Nash competition between an arbitrary number of identical dealers that compete for the order flow of a client. The client trades either because of proprietary information, exposure to idiosyncratic risk, or a mix of both…

Trading and Market Microstructure · Quantitative Finance 2021-07-27 Martin Herdegen , Johannes Muhle-Karbe , Florian Stebegg

In this paper, the problem of finding a Nash equilibrium of a multi-player game is considered. The players are only aware of their own cost functions as well as the action space of all players. We develop a relatively fast algorithm within…

Systems and Control · Computer Science 2017-05-09 Farzad Salehisadaghiani , Lacra Pavel

We study a toy two-player game for periodic double auction markets to generate liquidity. The game has imperfect information, which allows us to link market spreads with signal strength. We characterize Nash equilibria in cases with or…

Trading and Market Microstructure · Quantitative Finance 2023-08-01 Joffrey Derchu , Dimitrios Kavvathas , Thibaut Mastrolia , Mathieu Rosenbaum

We study the query complexity of approximate notions of Nash equilibrium in games with a large number of players $n$. Our main result states that for $n$-player binary-action games and for constant $\varepsilon$, the query complexity of an…

Computer Science and Game Theory · Computer Science 2014-07-21 Yakov Babichenko

In nature and society problems arise when different interests are difficult to reconcile, which are modeled in game theory. While most applications assume uncorrelated games, a more detailed modeling is necessary to consider the…

Physics and Society · Physics 2019-08-21 A. D. Correia , H. T. C. Stoof

Nash equilibrium is the most commonly-used notion of equilibrium in game theory. However, it suffers from numerous problems. Some are well known in the game theory community; for example, the Nash equilibrium of repeated prisoner's dilemma…

Computer Science and Game Theory · Computer Science 2008-12-18 Joseph Y. Halpern

As autonomous AI agents increasingly mediate online platform markets, a fundamental question emerges: do these markets generate stable strategic outcomes? In repeated strategic environments, the Nash equilibrium provides a natural benchmark…

Artificial Intelligence · Computer Science 2026-04-28 Enoch Hyunwook Kang

This paper introduces risk-revising players to a class of games with incomplete information. These players enter the game with ex ante risk preferences represented by coherent risk measures and develop time-consistent interim revisions of…

Optimization and Control · Mathematics 2026-03-23 Shutian Liu

This paper studies a spatial competition game between two firms that sell a homogeneous good at some pre-determined fixed price. A population of consumers is spread out over the real line, and the two firms simultaneously choose location in…

Optimization and Control · Mathematics 2020-01-31 Gaëtan Fournier , Karine Van Der Straeten , Jörgen Weibull

We propose an analytically tractable variation of the minority game in which rational agents use probabilistic strategies. In our model, $N$ agents choose between two alternatives repeatedly, and those who are in the minority get a pay-off…

Trading and Market Microstructure · Quantitative Finance 2014-02-11 V. Sasidevan , Deepak Dhar

We study markets of indivisible items in which price-based (Walrasian) equilibria often do not exist due to the discrete non-convex setting. Instead we consider Nash equilibria of the market viewed as a game, where players bid for items,…

Computer Science and Game Theory · Computer Science 2011-03-22 Avinatan Hassidim , Haim Kaplan , Yishay Mansour , Noam Nisan

Modelling agent preferences has applications in a range of fields including economics and increasingly, artificial intelligence. These preferences are not always known and thus may need to be estimated from observed behavior, in which case…

Computer Science and Game Theory · Computer Science 2023-03-02 Daniel Chui , Jason Hartline , James R. Wright

The amount of personal information contributed by individuals to digital repositories such as social network sites has grown substantially. The existence of this data offers unprecedented opportunities for data analytics research in various…

Computer Science and Game Theory · Computer Science 2015-05-12 Michela Chessa , Jens Grossklags , Patrick Loiseau

Quantum games with incomplete information can be studied within a Bayesian framework. We analyze games quantized within the EWL framework [Eisert, Wilkens, and Lewenstein, Phys Rev. Lett. 83, 3077 (1999)]. We solve for the Nash equilibria…

Quantum Physics · Physics 2017-03-10 Neal Solmeyer , Radhakrishnan Balu

We study multiplayer reachability games played on a finite directed graph equipped with target sets, one for each player. In those reachability games, it is known that there always exists a Nash equilibrium (NE) and a subgame perfect…

Computer Science and Game Theory · Computer Science 2019-07-15 Thomas Brihaye , Véronique Bruyère , Aline Goeminne , Nathan Thomasset

A recently introduced concept of "cooperative equilibrium", based on the assumption that players have a natural attitude to cooperation, has been proven a powerful tool in predicting human behaviour in social dilemmas. In this paper, we…

Computer Science and Game Theory · Computer Science 2015-09-28 Valerio Capraro , Maria Polukarov , Matteo Venanzi , Nicholas R. Jennings

We consider a 3-player game in the normal form, in which each player has two actions. We assume that the game is symmetric and repeated infinitely many times. At each stage players make their choices knowing only the average payoffs from…

Optimization and Control · Mathematics 2018-05-16 Tadeusz Kufel , Sławomir Plaskacz , Joanna Zwierzchowska

Nash equilibrium is a solution concept in non-strictly competitive, non-cooperative game theory that finds applications in various scientific and engineering disciplines. A non-strictly competitive, non-cooperative game model is presented…

Quantum Physics · Physics 2015-02-05 Faisal Shah Khan

Many smart grid frameworks, such as demand response programs, require accurate information about consumers' parameters (e.g., flexibility) at the aggregator side to optimize grid operations. Existing works typically rely on perfect…

Computer Science and Game Theory · Computer Science 2026-03-05 Hassan Mohamad , Chao Zhang , Samson Lasaulce , Olivier Beaude , Vineeth Satheeskumar Varma , Mounir Ghogho , Vincent Poor