English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  Dynamic properties of evolutionary multi-player games in finite populations

Wu, B., Traulsen, A., & Gokhale, C. S. (2013). Dynamic properties of evolutionary multi-player games in finite populations. Games, 4(2), 182-199. doi:10.3390/g4020182.

Item is

Basic

show hide
Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000E-FF83-D Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000E-FF84-B
Genre: Journal Article

Files

show Files
hide Files
:
Wu_2013.pdf (Publisher version), 523KB
Name:
Wu_2013.pdf
Description:
-
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-
License:
-

Locators

show

Creators

show
hide
 Creators:
Wu, Bin1, Author              
Traulsen, Arne1, Author              
Gokhale, Chaitanya S.1, Author              
Affiliations:
1Research Group Evolutionary Theory, Max Planck Institute for Evolutionary Biology, Max Planck Society, ou_1445641              

Content

show
hide
Free keywords: multi-player games; finite population; fixation probability; fixation time; average abundance
 Abstract: William D. Hamilton famously stated that “human life is a many person game and not just a disjoined collection of two person games”. However, most of the theoretical results in evolutionary game theory have been developed for two player games. In spite of a multitude of examples ranging from humans to bacteria, multi-player games have received less attention than pairwise games due to their inherent complexity. Such complexities arise from the fact that group interactions cannot always be considered as a sum of multiple pairwise interactions. Mathematically, multi-player games provide a natural way to introduce non-linear, polynomial fitness functions into evolutionary game theory, whereas pairwise games lead to linear fitness functions. Similarly, studying finite populations is a natural way of introducing intrinsic stochasticity into population dynamics. While these topics have been dealt with individually, few have addressed the combination of finite populations and multi-player games so far. We are investigating the dynamical properties of evolutionary multi-player games in finite populations. Properties of the fixation probability and fixation time, which are relevant for rare mutations, are addressed in well mixed populations. For more frequent mutations, the average abundance is investigated in well mixed as well as in structured populations. While the fixation properties are generalizations of the results from two player scenarios, addressing the average abundance in multi-player games gives rise to novel outcomes not possible in pairwise games.

Details

show
hide
Language(s): eng - English
 Dates: 2013-04-112013-02-112013-04-222013-05-06
 Publication Status: Published online
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: DOI: 10.3390/g4020182
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Games
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: Basel : Molecular Diversity Preservation International (MDPI)
Pages: - Volume / Issue: 4 (2) Sequence Number: - Start / End Page: 182 - 199 Identifier: ISSN: 2073-4336