Evolutionary Games on Star Graphs Under Various Updating Rules

Dynamic Games and Applications

Volumn 1, Issue 3, 2011, Pages 386-407

  Hadjichrysanthou, C ^a   Broom, M ^a   Rychtar J ^b  

^a CITY UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF NORTH CAROLINA AT GREENSBORO   (United States)

Author keywords

Absorption time; Fixation probability; Fixation time; Star graph; Structured populations

Indexed keywords

EID: 84859709113     PISSN: 21530785     EISSN: 21530793     Source Type: Journal    
DOI: 10.1007/s13235-011-0022-7     Document Type: Article

References (18)

1. Antal T, Scheuring I (2006) Fixation of strategies for an evolutionary game in finite populations. Bull Math Biol 68: 1923-1944. doi: 10. 1007/s11538-006-9061-4.
2. Antal T, Redner S, Sood V (2006) Evolutionary dynamics on degree-heterogeneous graphs. Phys Rev Lett 96. doi: 10. 1103/PhysRevLett. 96. 188104.
3. Broom M, Rychtář J (2008) An analysis of the fixation probability of a mutant on special classes of non-directed graphs. Proc R Soc A 464: 2609-2627. doi: 10. 1098/rspa. 2008. 0058.
4. Broom M, Rychtář J, Stadler B (2009) Evolutionary dynamics on small order graphs. J Interdiscip Math 12: 129-140.
5. Broom M, Hadjichrysanthou C, Rychtář J (2010) Evolutionary games on graphs and the speed of the evolutionary process. Proc R Soc A 466: 1327-1346. doi: 10. 1098/rspa. 2009. 0487.
6. Fu F, Wang L, Nowak MA, Hauert C (2009) Evolutionary dynamics on graphs: efficient method for weak selection. Phys Rev E 79. doi: 10. 1103/PhysRevE. 79. 046707.
7. Fudenberg D, Nowak MA, Taylor C, Imhof LA (2006) Evolutionary game dynamics in finite populations with strong selection and weak mutation. Theor Popul Biol 70: 352-363. doi: 10. 1016/j. tpb. 2006. 07. 006.
8. Lieberman E, Hauert C, Nowak MA (2005) Evolutionary dynamics on graphs. Nature 433: 312-316. doi: 10. 1038/nature03204.
9. Masuda N (2007) Participation costs dismiss the advantage of heterogeneous networks in evolution of cooperation. Proc R Soc B 274: 1815-1821. doi: 10. 1098/rspb. 2007. 0294.
10. Masuda N (2009) Directionality of contact networks suppresses selection pressure in evolutionary dynamics. J Theor Biol 258: 323-334. doi: 10. 1016/j. jtbi. 2009. 01. 025.
11. Nowak MA (2006) Evolutionary dynamics: exploring the equations of life. Harvard University Press, Cambridge.
12. Ohtsuki H, Hauert C, Lieberman E, Nowak MA (2006) A simple rule for the evolution of cooperation on graphs and social networks. Nature 441: 502-505. doi: 10. 1038/nature04605.
13. Santos FC, Pacheco JM (2006) A new route to the evolution of cooperation. J Evol Biol 19: 726-733. doi: 10. 1111/j. 1420-9101. 2005. 01063. x.
14. Sood V, Antal T, Redner S (2008) Voter models on heterogeneous networks. Phys Rev E 77. doi: 10. 1103/PhysRevE. 77. 041121.
15. Szolnoki A, Perc M, Danku Z (2008) Towards effective payoffs in the prisoner's dilemma game on scale-free networks. Physica A 387: 2075-2082. doi: 10. 1016/j. physa. 2007. 11. 021.
16. Tarnita CE, Ohtsuki H, Antal T, Fu F, Nowak MA (2009) Strategy selection in structured populations. J Theor Biol 259: 570-581. doi: 10. 1016/j. jtbi. 2009. 03. 035.
17. Tomassini M, Pestelacci E, Luthi L (2007) Social dilemmas and cooperation in complex networks. Int J Mod Phys 18: 1173-1185. doi: 10. 1142/S0129183107011212.
18. Voelkl B (2010) The 'Hawk-Dove' game and the speed of the evolutionary process in small heterogeneous populations. Games 1: 103-116. doi: 10. 3390/g1020103.