Title of article :
A rule is not a rule if it changes from case to case (a reply to Marshallʹs comment)
Author/Authors :
van Veelen، نويسنده , , Matthijs، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2011
Abstract :
This is a reply to “Quellerʹs rule ok: Comment on van Veelen ‘when inclusive fitness is right and when it can be wrong’ ” by James Marshall in the Journal of Theoretical Biology, in this issue.
er to circumvent the disagreement about the Price equation and focus on the issue of the predictive power of inclusive fitness for group selection models, I derive Quellerʹs and Marshallʹs rule without the Price equation. Both rules however need a translation step in order to be able to link them to the group selection model in van Veelen (2009). Quellerʹs rule applies to games with 2 players and 2 strategies, and is general. Marshallʹs rule on the other hand applies only to a small subset of 3-player games. His rule is correct, but for other, similarly small subsets we would get other rules. This implies that if we want a rule that applies to all symmetric games with 3 players and 2 strategies, it will have to use a vector of dimension 2 that represents population structure. More in general: for group selection models with groups of size n, a correct and general prediction will need to use a vector of dimension n−1 that represents population structure.
Keywords :
Hamiltonיs rule , Quellerיs rule , Group selection , Inclusive fitness , Generalized equal gains from switching
Journal title :
Journal of Theoretical Biology
Journal title :
Journal of Theoretical Biology