Talk:Replicator equation

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I rewrote most of this page and added a lot of content, as I had promised long ago. I also added recent two references where the general theory can be found. The article could benefit from a concrete example of an application of the equation, perhaps from both biology and economics. Marc Harper 19:16, 5 February 2007 (UTC)

I made some more additions -- I would have done it with the first round, but I had to look up the references. (Forgot to log-in for some of them...) Marc Harper 23:43, 5 February 2007 (UTC)
Marc - Looks great. I was just about to fix the difference equation, but you beat me to it ;) Thanks a lot for all your help, the article is much improved. --best, kevin [kzollman][talk] 00:30, 6 February 2007 (UTC)

Should

${\displaystyle {\dot {x_{i}}}=\sum _{j=1}^{n}{x_{j}f_{j}(x)Q_{ji}}-\phi (x)x_{i},}$

be

${\displaystyle {\dot {x_{i}}}=(\sum _{j=1}^{n}{x_{j}f_{j}(x)Q_{ji}}-\phi (x))x_{i},}$

? --Pushmedia1 07:21, 11 May 2007 (UTC)

nevermind!!! --Pushmedia1 07:22, 11 May 2007 (UTC)

Quick question. What are the restrictions/admissible forms for the f_i(x) function in the first equation? Oh, and hey there Will.radek (talk) 01:47, 4 October 2008 (UTC)

What do you mean? They can be essentially anything that you want, though the most common form is f_i(x) = (Ax)_i (ith entry of the matrix product) so that the fitness function as a vector f(x) = [f_1,..., f_n] = Ax . If you want the differential equation to have nice properties the f_i should be relatively nice, but the need only be integrable to solve the equation (in principle).

If you don't know the relationship between the Price equation and the replicator equation, read the reference "Unifying Evolutionary Dynamics". Do not delete content because you think it is incorrect! —Preceding unsigned comment added by 128.97.41.109 (talk) 19:32, 3 December 2009 (UTC)