Re: simplex representation

• To: mathgroup at smc.vnet.net
• Subject: [mg102848] Re: simplex representation
• From: Clifford Nelson <cjnelson9 at verizon.net>
• Date: Sat, 29 Aug 2009 06:32:38 -0400 (EDT)
• References: <h788s4\$bih\$1@smc.vnet.net>

```In article <h788s4\$bih\$1 at smc.vnet.net>,
Matthias Greiff <greiff at mac.com> wrote:

> Dear all,
> I'm working on evolutionary game theory. To get a nice visualizations
> of my results I'm trying to use a simplex representation, like figure
> 10 on http://plato.stanford.edu/entries/game-evolutionary/. For three
> strategies this is essentially a representation of three differential
> equations. What I'm looking for is a Mathematica function that takes
> the payoffs or the set of differential equations as input and plots
> the simplex representation. Does anyone know whether such a function
> exists? Or is there anyone who is interested in programming such a
> function?
> Thanks,
> Matthias

I call n mutually exclusive things that add up to a constant a mixture
of n things and the mixture is represented by a "perportion list" in the
Mathematica NoteBook TetraGlobe at:

http://library.wolfram.com/infocenter/MathSource/600/

The mutually exclusive things are the vertices of a regular simplex.

Cliff Nelson

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son_id=607

```

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