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echo: evolution
to: All
from: Jim McGinn
date: 2002-10-28 12:12:00
subject: Re: (Part2) Kin Selection

joe{at}removethispart.gs.washington.edu wrote 

> > What, exactly, is it you supposedly worked out?  Why not 
> > show us your work?  Why not make your thinking explicit?
> 
> OK.  So first we define a situation and then pause to see if
> McGinn is willing to accept it.  A simple model case, not a general
> case -- the interest is to see whether Hamilton's result emerges, or
> whether some totally different rule is correct.
> 
> We have
>   1.  An infinite population
>   2.  Diploid
>   3.  One sex (hermaphrodites)
>   4.  Random mating
>   5.  Discrete generations
>   6.  Each organism, once in its life, engages in a social
>       interaction where there are two roles: "Donor" and
"Recipient"
>   7.  In this interaction there either is or is not an altruistic
>       behavior that occurs
>   8.  If it does not occur, both individuals have fitness 1
>   9.  If it does, Donor has fitness 1-c, Recipient has fitness 1+b
>  10.  After the interaction the individuals wander off and mate
>       randomly (i.e. not necessarily with that partner)
>  11.  The probability that the behavior occurs is a function of the
>       genotype of the Donor, but not that of the Recipient.
>  12.  There is a locus with two alleles, A and a.  A is rare.
>       This locus is one (in our model case the only one) whose
>       genotype affects the probability that the Donor engages in the
>       behavior.
> 
> Now we need to hear from McGinn whether by assuming this situation we
> are OK, so that he is willing to hear about the algebra that results.

Situation?

I read your points, 1 thru 12 above, and found them 
unacceptable.  If you want to discuss why I found 
them unacceptable I guess we could approach that on 
a point by point basis.  But, to be honest, I'm 
wondering why you need (or think you need) special 
considerations in order to make your case?

Jim
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