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A new mathematical model for evolutionary games on graphs is proposed to extend the classical replicator equation to finite populations of players organized on a network with generic topology. Classical results from game theory,…

Dynamical Systems · Mathematics 2021-09-01 Dario Madeo , Chiara Mocenni

This paper develops a distributed resource allocation game to study countries' pursuit of targets such as self-survival in the networked international environment. The contributions are two. First, the game formalizes countries' power…

Social and Information Networks · Computer Science 2017-02-28 Yuke Li , A. S Morse

The game theoretic concepts of rationalizability and iterated dominance are closely related and provide characterizations of each other. Indeed, the equivalence between them implies that in a two player finite game, the remaining set of…

Computer Science and Game Theory · Computer Science 2024-05-28 Roy Long

Motivated by cost of computation in game theory, we explore how changing the utilities of players (changing their complexity costs) affects the outcome of a game. We show that even if we improve a player's utility in every action profile,…

Computer Science and Game Theory · Computer Science 2013-12-17 Lior Seeman

Cooperative game theory deals with systems where players want to cooperate to improve their payoffs. But players may choose coalitions in a non-cooperative manner, leading to a coalition-formation game. We consider such a game with several…

Computer Science and Game Theory · Computer Science 2020-12-08 Shiksha Singhal , Veeraruna Kavitha

The concept of power can be explored at several scales: from physical action and process effectuation, all the way to complex social dynamics. A spectrum-wide analysis of power requires attention to the fundamental principles that constrain…

Physics and Society · Physics 2025-02-06 Mahault Albarracin , Sonia de Jager , David Hyland , Sarah Grace Manski

The paper studies properties of functional dependencies between strategies of players in Nash equilibria of multi-player strategic games. The main focus is on the properties of functional dependencies in the context of a fixed dependency…

Logic · Mathematics 2016-09-14 Kristine Harjes , Pavel Naumov

In this dissertation, we analyze the computational properties of game-theoretic centrality measures. The key idea behind game-theoretic approach to network analysis is to treat nodes as players in a cooperative game, where the value of each…

Computer Science and Game Theory · Computer Science 2015-12-08 Piotr Lech Szczepański

Understanding the evolution of human social systems requires flexible formalisms for the emergence of institutions. Although game theory is normally used to model interactions individually, larger spaces of games can be helpful for modeling…

Physics and Society · Physics 2021-08-12 Seth Frey , Curtis Atkisson

We introduce an evolutionary game with feedback between perception and reality, which we call the reality game. It is a game of chance in which the probabilities for different objective outcomes (e.g., heads or tails in a coin toss) depend…

General Finance · Quantitative Finance 2009-02-09 Dmitriy Cherkashin , J. Doyne Farmer , Seth Lloyd

The biased interaction game described the operation of systems rooted in boundedly rational interactions under conditions of scarcity. The game explored the influence of bias and demonstrated how hierarchy and inequality are emergent system…

Computer Science and Game Theory · Computer Science 2026-03-10 Phil Mercy , Martin Neil

Admissible strategies, i.e. those that are not dominated by any other strategy, are a typical rationality notion in game theory. In many classes of games this is justified by results showing that any strategy is admissible or dominated by…

Computer Science and Game Theory · Computer Science 2018-05-30 Nicolas Basset , Ismaël Jecker , Arno Pauly , Jean-François Raskin , Marie Van den Bogaard

The basic problem in the cooperation theory is to justify the cooperation. Here we propose a new approach, where players are driven by their altruism to cooperate or not. The probability of cooperation depends also on the co-player's…

Physics and Society · Physics 2015-05-13 Krzysztof Kulakowski , Przemyslaw Gawronski

Causality and game theory are two influential fields that contribute significantly to decision-making in various domains. Causality defines and models causal relationships in complex policy problems, while game theory provides insights into…

Artificial Intelligence · Computer Science 2025-04-21 Maarten C. Vonk , Mauricio Gonzalez Soto , Anna V. Kononova

Evolutionary games are a developing sub-field of game theory. This branch of game theory is used in the study of the adaptation of large, but finite, populations of agents to changes in the environment. It assumes that each agent has no…

Computer Science and Game Theory · Computer Science 2023-07-12 E. M. Lorits , E. A. Gubar

We present a new type of game, the Liquidity Game. We draw inspiration from the UK government bond market and apply game theoretic approaches to its analysis. In Liquidity Games, market participants (agents) use non-cooperative games where…

Computer Science and Game Theory · Computer Science 2024-05-07 Alicia Vidler , Toby Walsh

We introduce open games as a compositional foundation of economic game theory. A compositional approach potentially allows methods of game theory and theoretical computer science to be applied to large-scale economic models for which…

Computer Science and Game Theory · Computer Science 2018-02-16 Neil Ghani , Jules Hedges , Viktor Winschel , Philipp Zahn

We study the graph energy from a cooperative game viewpoint. We introduce \emph{the graph energy game} and show various properties. In particular, we see that it is a superadditive game and that the energy of a vertex, as defined in…

Spectral Theory · Mathematics 2021-03-22 Gerardo Arizmendi , Octavio Arizmendi

Transmitters of a multiple access channel are assumed to freely choose their power control strategy in order to be energy-efficient. We show that in a stochastic game framework, we can develop energy-efficient distributed control strategies…

Computer Science and Game Theory · Computer Science 2011-07-25 François Mériaux , Maël Le Treust , Samson Lasaulce , Michel Kieffer

We introduce and analyze a novel family of power indices tailored for sharing networks in technological markets, where firms operate competitively within, but not across, distinct industrial sectors. In these settings, inter-firm…

Theoretical Economics · Economics 2025-07-18 Michele Aleandri , Francesco Ciardiello , Andrea Di Liddo