NDLI: A study of the dynamics of multi-player games on small networks using territorial interactions

Content Provider	Springer Nature Link
Author	Pattni, Karan Broom, Mark Lafaye, Charlotte Rychtář, Jan
Copyright Year	2015
Abstract	Recently, the study of structured populations using models of evolutionary processes on graphs has begun to incorporate a more general type of interaction between individuals, allowing multi-player games to be played among the population. In this paper, we develop a birth-death dynamics for use in such models and consider the evolution of populations for special cases of very small graphs where we can easily identify all of the population states and carry out exact analyses. To do so, we study two multi-player games, a Hawk–Dove game and a public goods game. Our focus is on finding the fixation probability of an individual from one type, cooperator or defector in the case of the public goods game, within a population of the other type. We compare this value for both games on several graphs under different parameter values and assumptions, and identify some interesting general features of our model. In particular there is a very close relationship between the fixation probability and the mean temperature, with high temperatures helping fitter individuals and punishing unfit ones and so enhancing selection, whereas low temperatures give a levelling effect which suppresses selection.
Ending Page	1574
Page Count	24
Starting Page	1551
File Format	PDF
ISSN	03036812
e-ISSN	14321416
Journal	Journal of Mathematical Biology
Issue Number	6-7
Volume Number	71
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2015-03-12
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Evolutionary graph theory Territory Mathematical and Computational Biology Evolutionary games Games involving graphs Evolution Structured populations Applications of Mathematics Game theory Markov chains (discrete-time Markov processes on discrete state spaces)
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Agricultural and Biological Sciences Modeling and Simulation

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