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This paper studies multiplayer turn-based games on graphs in which player preferences are modeled as $\omega$-automatic relations given by deterministic parity automata. This contrasts with most existing work, which focuses on specific…

Computer Science and Game Theory · Computer Science 2026-02-10 Véronique Bruyère , Emmanuel Filiot , Christophe Grandmont , Jean-François Raskin

A quantum game can be viewed as a state preparation in which the final output state results from the competing preferences of the players over the set of possible output states that can be produced. It is therefore possible to view state…

Quantum Physics · Physics 2020-03-13 Simon J. D. Phoenix , Faisal Shah Khan

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

Cooperative game theory studies how to allocate the joint value generated by a set of players. These games are typically analyzed using the characteristic function form with transferable utility, which represents the value attainable by…

Theoretical Economics · Economics 2025-12-18 Ata Atay , Christian Trudeau

How coperation between self-interested individuals evolve is a crucial problem, both in biology and in social sciences, that is far from being well understood. Evolutionary game theory is a useful approach to this issue. The simplest model…

Cellular Automata and Lattice Gases · Physics 2007-12-21 H. Fort

In applied game theory the motivation of players is a key element. It is encoded in the payoffs of the game form and often based on utility functions. But there are cases were formal descriptions in the form of a utility function do not…

Computer Science and Game Theory · Computer Science 2015-06-04 Jules Hedges , Paulo Oliva , Evguenia Sprits , Viktor Winschel , Philipp Zahn

For decades, two-player (antagonistic) games on graphs have been a framework of choice for many important problems in theoretical computer science. A notorious one is controller synthesis, which can be rephrased through the game-theoretic…

Computer Science and Game Theory · Computer Science 2023-06-22 Patricia Bouyer , Stéphane Le Roux , Youssouf Oualhadj , Mickael Randour , Pierre Vandenhove

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

This paper introduces a hierarchical framework for population games, where individuals delegate decision-making to proxies that act within their own strategic interests. This framework extends classical population games, where individuals…

Systems and Control · Electrical Eng. & Systems 2025-09-09 Yu-Wen Chen , Nuno C. Martins , Murat Arcak

We propose a simple yet rich model to extend the notions of Nash equilibria and correlated equilibria of strategic games to the quantum setting, in which we then study the relations between classical and quantum equilibria. Unlike the…

Quantum Physics · Physics 2015-03-17 Shengyu Zhang

Recommender systems have emerged as a new weapon to help online firms to realize many of their strategic goals (e.g., to improve sales, revenue, customer experience etc.). However, many existing techniques commonly approach these goals by…

Information Retrieval · Computer Science 2012-12-11 Shuang-Hong Yang

We study turn-based quantitative games of infinite duration opposing two antagonistic players and played over graphs. This model is widely accepted as providing the adequate framework for formalizing the synthesis question for reactive…

Computer Science and Game Theory · Computer Science 2023-06-22 Pierre Ohlmann

Hedonic games -- at the interface of cooperative game theory and computational social choice -- are coalition formation games in which the players have preferences over the coalitions they can join. Kerkmann et al. [13] introduced…

Computer Science and Game Theory · Computer Science 2025-12-01 Jörg Rothe , Ildikó Schlotter

Game theory provides a framework for studying communication dynamics and emergent phenomena arising from rational agent interactions. We present a model framework for the Volunteer's Dilemma with four key contributions: (1) formulating it…

Multiagent Systems · Computer Science 2025-09-24 Jacob Dineen , A S M Ahsan-Ul Haque , Matthew Bielskas

This work contains the mathematical exploration of a few prototypical games in which central concepts from statistics and probability theory naturally emerge. The first two kinds of games are termed Fisher and Bayesian games, which are…

Statistics Theory · Mathematics 2024-02-27 Jozsef Konczer

Multi-dimensional mean-payoff and energy games provide the mathematical foundation for the quantitative study of reactive systems, and play a central role in the emerging quantitative theory of verification and synthesis. In this work, we…

Computer Science and Game Theory · Computer Science 2014-11-04 Krishnendu Chatterjee , Mickael Randour , Jean-François Raskin

A game-theoretic setting provides a mathematical basis for analysis of strategic interaction among competing agents and provides insights into both classical and quantum decision theory and questions of strategic choice. An outstanding…

Quantum Physics · Physics 2018-07-24 Azhar Iqbal , James M. Chappell , Derek Abbott

Games on graphs provide a natural model for reactive non-terminating systems. In such games, the interaction of two players on an arena results in an infinite path that describes a run of the system. Different settings are used to model…

Computer Science and Game Theory · Computer Science 2011-06-08 Krishnendu Chatterjee , Nathanaël Fijalkow

This paper proposes and studies a general form of dynamic $N$-player non-cooperative games called $\alpha$-potential games, where the change of a player's value function upon her unilateral deviation from her strategy is equal to the change…

Optimization and Control · Mathematics 2025-04-02 Xin Guo , Xinyu Li , Yufei Zhang

The latest developments in AI focus on agentic systems where artificial and human agents cooperate to realize global goals. An example is collaborative learning, which aims to train a global model based on data from individual agents. A…

Computer Science and Game Theory · Computer Science 2025-08-20 Björn Filter , Ralf Möller , Özgür Lütfü Özçep
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