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The emergence of complex networks from evolutionary games is studied occurring when agents are allowed to switch interaction partners. For this purpose a coevolutionary iterated Prisoner's Dilemma game is defined on a random network with…

Disordered Systems and Neural Networks · Physics 2007-05-23 Holger Ebel , Stefan Bornholdt

Evolution is based on the assumption that competing players update their strategies to increase their individual payoffs. However, while the applied updating method can be different, most of previous works proposed uniform models where…

Physics and Society · Physics 2018-04-04 Zsuzsa Danku , Zhen Wang , Attila Szolnoki

Objective: The study investigates the effect on cooperation in multiplayer games, when the population from which all individuals are drawn is structured - i.e. when a given individual is only competing with a small subset of the entire…

Computer Science and Game Theory · Computer Science 2016-02-08 Kaare B. Mikkelsen , Lars A. Bach

Evolutionary game dynamics describes not only frequency dependent genetical evolution, but also cultural evolution in humans. In this context, successful strategies spread by imitation. It has been shown that the details of strategy update…

Populations and Evolution · Quantitative Biology 2013-10-07 Arne Traulsen , Dirk Semmann , Ralf D. Sommerfeld , Hans-Juergen Krambeck , Manfred Milinski

This paper investigates the long-term behavior of an interacting particle system of interest in the hot topic of evolutionary game theory. Each site of the $d$-dimensional integer lattice is occupied by a player who is characterized by one…

Probability · Mathematics 2016-06-07 Eric Foxall , Nicolas Lanchier

Combinatorial games lead to several interesting, clean problems in algorithms and complexity theory, many of which remain open. The purpose of this paper is to provide an overview of the area to encourage further research. In particular, we…

Computational Complexity · Computer Science 2009-09-25 Erik D. Demaine , Robert A. Hearn

The game of best choice (also known as the secretary problem) is a model for sequential decision making with a long history and many variations. The classical setup assumes that the sequence of candidate rankings are uniformly distributed.…

Combinatorics · Mathematics 2019-11-06 Brant Jones

Feedback-evolving games is a framework that models the co-evolution between payoff functions and an environmental state. It serves as a useful tool to analyze many social dilemmas such as natural resource consumption, behaviors in…

Computer Science and Game Theory · Computer Science 2024-08-23 Keith Paarporn , James Nelson

Genetic programming is the practice of evolving formulas using crossover and mutation of genes representing functional operations. Motivated by genetic evolution we develop and solve two combinatorial games, and we demonstrate some…

Combinatorics · Mathematics 2021-02-02 Melissa A. Huggan , Craig Tennenhouse

In many settings, machine learning models may be used to inform decisions that impact individuals or entities who interact with the model. Such entities, or agents, may game model decisions by manipulating their inputs to the model to…

Machine Learning · Computer Science 2024-12-04 Trenton Chang , Lindsay Warrenburg , Sae-Hwan Park , Ravi B. Parikh , Maggie Makar , Jenna Wiens

The most common assumption in evolutionary game theory is that players should adopt a strategy that warrants the highest payoff. However, recent studies indicate that the spatial selection for cooperation is enhanced if an appropriate…

Physics and Society · Physics 2016-05-18 Attila Szolnoki , Matjaz Perc

Evolutionary dynamics can be studied in well-mixed or structured populations. Population structure typically arises from the heterogeneous distribution of individuals in physical space or on social networks. Here we introduce a new type of…

Populations and Evolution · Quantitative Biology 2009-06-04 Tibor Antal , Hisashi Ohtsuki , John Wakeley , Peter D. Taylor , Martin A. Nowak

In constant-payoff finite population games, when selection is weak and population size is large, the one-third law serves as the condition for a strategy to be advantageous. We generalize the result to the case where payoff matrices are…

Populations and Evolution · Quantitative Biology 2013-12-16 Weihong Xu , Yanling Zhang , Guangming Xie

Machine Learning techniques have been used to teach computer programs how to play games as complicated as Chess and Go. These were achieved using powerful tools such as Neural Networks and Parallel Computing on Supercomputers. In this…

Populations and Evolution · Quantitative Biology 2017-12-01 Pedro M. F. Pereira

We study stochastic evolution of optional games on simple graphs. There are two strategies, A and B, whose interaction is described by a general payoff matrix. In addition there are one or several possibilities to opt out from the game by…

Populations and Evolution · Quantitative Biology 2014-05-19 Hyeong-Chai Jeong , Seung-Yoon Oh , Benjamin Allen , Martin A. Nowak

Evolutionary graph theory is a well established framework for modelling the evolution of social behaviours in structured populations. An emerging consensus in this field is that graphs that exhibit heterogeneity in the number of connections…

Populations and Evolution · Quantitative Biology 2018-11-20 Wes Maciejewski , Feng Fu , Christoph Hauert

The commonly used accumulated payoff scheme is not invariant with respect to shifts of payoff values when applied locally in degree-inhomogeneous population structures. We propose a suitably modified payoff scheme and we show both formally…

Physics and Society · Physics 2010-11-24 Leslie Luthi , Marco Tomassini , Enea Pestelacci

Game theory is widely used as a behavioral model for strategic interactions in biology and social science. It is common practice to assume that players quickly converge to an equilibrium, e.g. a Nash equilibrium. This can be studied in…

Physics and Society · Physics 2018-09-20 Marco Pangallo , Torsten Heinrich , J Doyne Farmer

Distributed adaptive filtering has been considered as an effective approach for data processing and estimation over distributed networks. Most existing distributed adaptive filtering algorithms focus on designing different information…

Computer Science and Game Theory · Computer Science 2015-06-12 Chunxiao Jiang , Yan Chen , K. J. Ray Liu

Spatial evolutionary games model individuals who are distributed in a spatial domain and update their strategies upon playing a normal form game with their neighbors. We derive integro-differential equations as deterministic approximations…

Probability · Mathematics 2010-07-06 Sung-Ha Hwang , Markos Katsoulakis , Luc Rey-Bellet