|
|||||
 |
|
|
|
|
|
Analysing
territorial models on graphs
Marie Bruni, Mark Broom and Jan Rychtář
Vol. 7 (2014), No. 2, 129–149
|
Abstract |
|
Evolutionary graph theory combines evolutionary games with population structure, induced by the graph. The games used are limited to pairwise games occurring on the edges of the graph. Multiplayer games can be important in biological modelling, however, and so recently a new framework for modelling games in structured populations allowing games with arbitrary numbers of players was introduced. In this paper we develop the model to investigate the effect of population structure on the level of aggression, as opposed to a well-mixed population for two specific types of graph, using a multiplayer hawk-dove game. We find that the graph structure can have a significant effect on the level of aggression, and that a key factor is the variability of the group sizes formed to play the games; the more variable the group size, the lower the level of aggression, in general. |
Keywords
structured populations, evolution, game theory, territory
|
Mathematical Subject Classification 2010
Primary: 91A22
Secondary: 05C57, 91A43, 92B05
|
Milestones
Received: 8 June 2012
Revised: 23 October 2012
Accepted: 17 November 2012
Published: 16 November 2013
Communicated by Kenneth S. Berenhaut
|
Authors |
| Marie Bruni | |
| UFR de Mathématique et
d’Informatique University of Strasbourg 7 rue René Descartes 67084 Strasbourg Cedex France |
|
| Mark Broom | |
| Department of Mathematical
Science City University London Northampton Square London EC1V 0HB United Kingdom |
|
| Jan Rychtář | |
| Department of Mathematics and
Statistics The University of North Carolina at Greensboro Greensboro, NC 27402 United States |
|
|
