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We develop a general game-theoretic framework for reasoning about strategic agents performing possibly costly computation. In this framework, many traditional game-theoretic results (such as the existence of a Nash equilibrium) no longer…

Computer Science and Game Theory · Computer Science 2014-12-10 Joseph Y. Halpern , Rafael Pass

Standard Markovian optimal stopping problems are consistent in the sense that the first entrance time into the stopping set is optimal for each initial state of the process. Clearly, the usual concept of optimality cannot in a…

Optimization and Control · Mathematics 2018-12-05 Sören Christensen , Kristoffer Lindensjö

We provide an in-depth study of Nash equilibria in multi-objective normal form games (MONFGs), i.e., normal form games with vectorial payoffs. Taking a utility-based approach, we assume that each player's utility can be modelled with a…

Computer Science and Game Theory · Computer Science 2022-07-19 Willem Röpke , Diederik M. Roijers , Ann Nowé , Roxana Rădulescu

For common notions of correlated equilibrium in extensive-form games, computing an optimal (e.g., welfare-maximizing) equilibrium is NP-hard. Other equilibrium notions -- communication (Forges 1986) and certification (Forges & Koessler…

Computer Science and Game Theory · Computer Science 2022-12-02 Brian Hu Zhang , Tuomas Sandholm

Public goods games study the incentives of individuals to contribute to a public good and their behaviors in equilibria. In this paper, we examine a specific type of public goods game where players are networked and each has binary actions,…

Computer Science and Game Theory · Computer Science 2022-04-04 Sixie Yu , Kai Zhou , P. Jeffrey Brantingham , Yevgeniy Vorobeychik

Strategic interactions can be represented more concisely, and analyzed and solved more efficiently, if we are aware of the symmetries within the multiagent system. Symmetries also have conceptual implications, for example for equilibrium…

Computer Science and Game Theory · Computer Science 2025-03-03 Emanuel Tewolde , Brian Hu Zhang , Caspar Oesterheld , Tuomas Sandholm , Vincent Conitzer

Large Language Models (LLMs) have achieved remarkable progress in reasoning, yet sometimes produce responses that are suboptimal for users in tasks such as writing, information seeking, or providing practical guidance. Conventional…

Artificial Intelligence · Computer Science 2025-11-04 Siqi Zhu , David Zhang , Pedro Cisneros-Velarde , Jiaxuan You

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 present a new concept called Game Mechanic Alignment theory as a way to organize game mechanics through the lens of systemic rewards and agential motivations. By disentangling player and systemic influences, mechanics may be better…

Artificial Intelligence · Computer Science 2021-08-12 Michael Cerny Green , Ahmed Khalifa , Philip Bontrager , Rodrigo Canaan , Julian Togelius

Subgame solving is a technique for scaling algorithms to large games by locally refining a precomputed blueprint strategy during gameplay. While straightforward in perfect-information games where search starts from the current state,…

Computer Science and Game Theory · Computer Science 2026-01-27 Ondrej Kubicek , Viliam Lisy , Tuomas Sandholm

We study a general scenario of simultaneous contests that allocate prizes based on equal sharing: each contest awards its prize to all players who satisfy some contest-specific criterion, and the value of this prize to a winner decreases as…

Computer Science and Game Theory · Computer Science 2022-07-19 Edith Elkind , Abheek Ghosh , Paul W. Goldberg

A central challenge in game theory and learning systems such as GANs is understanding which algorithms can efficiently compute equilibria across the heterogeneous landscape of games. Equilibrium computation is typically studied solver by…

Artificial Intelligence · Computer Science 2026-05-29 Yaqi Sun , Julian Ma , David Mguni

A notion of pi-tolerant equilibrium is defined that takes into account that players have some tolerance regarding payoffs in a game. This solution concept generalizes Nash and refines epsilon-Nash equilibrium in a natural way. We show that…

Computer Science and Game Theory · Computer Science 2017-07-28 Arpita Ghosh , Joseph Y. Halpern

Many real-world domains contain multiple agents behaving strategically with probabilistic transitions and uncertain (potentially infinite) duration. Such settings can be modeled as stochastic games. While algorithms have been developed for…

Computer Science and Game Theory · Computer Science 2020-06-25 Sam Ganzfried , Conner Laughlin , Charles Morefield

Nash Equilibrium (NE) is the canonical solution concept of game theory, which provides an elegant tool to understand the rationalities. Though mixed strategy NE exists in any game with finite players and actions, computing NE in two- or…

Computer Science and Game Theory · Computer Science 2024-05-07 Xinrun Wang , Chang Yang , Shuxin Li , Pengdeng Li , Xiao Huang , Hau Chan , Bo An

The Team-maxmin equilibrium prescribes the optimal strategies for a team of rational players sharing the same goal and without the capability of correlating their strategies in strategic games against an adversary. This solution concept can…

Artificial Intelligence · Computer Science 2016-11-21 Nicola Basilico , Andrea Celli , Giuseppe De Nittis , Nicola Gatti

A fundamental open problem in monotone game theory is the computation of a specific generalized Nash equilibrium (GNE) among all the available ones, e.g. the optimal equilibrium with respect to a system-level objective. The existing GNE…

Systems and Control · Electrical Eng. & Systems 2022-03-16 Emilio Benenati , Wicak Ananduta , Sergio Grammatico

Two-player complete-information game trees are perhaps the simplest possible setting for studying general-sum games and the computational problem of finding equilibria. These games admit a simple bottom-up algorithm for finding subgame…

Computer Science and Game Theory · Computer Science 2012-07-02 Michael L. Littman , Nishkam Ravi , Arjun Talwar , Martin Zinkevich

Finite-horizon probabilistic multiagent concurrent game systems, also known as finite multiplayer stochastic games, are a well-studied model in computer science due to their ability to represent a wide range of real-world scenarios…

Computer Science and Game Theory · Computer Science 2026-05-27 Senthil Rajasekaran , Moshe Y. Vardi

It is well known that a game equilibrium can be far from efficient or fair, due to the misalignment between individual and social objectives. The focus of this paper is to design a new mechanism framework that induces an efficient and fair…

Computer Science and Game Theory · Computer Science 2017-08-11 Lin Gao , Jianwei Huang