**From:** Paul C (*clyder@GN.APC.ORG*)

**Date:** Sat Sep 25 2004 - 18:51:24 EDT

**Next message:**Paul C: "Re: (OPE-L) Seminar: Hilbert Space Models Commodity Exchanges by Paul Cockshott"**Previous message:**Gerald A. Levy: "(OPE-L) Re: tendencies for equalization"**In reply to:**Ian Wright: "Re: Seminar: HILBERT SPACE MODELS COMMODITY EXCHANGES by Paul Cockshott"**Messages sorted by:**[ date ] [ thread ] [ subject ] [ author ] [ attachment ]

Ian Wright wrote: >Hi Paul > > > >>However, I suspect that there is a virtue in thinking of >>familiar things in a different form >> >> > >I wonder if you think that your representation will allow dynamic >models of exchange economies to be constructed that update via >discrete matrix operations. If so, one big benefit would be that it >might be easier to prove convergence properties as linear algebra is >so well-understood. In your scheme, can a set of commodity exchanges >be represented as a single value-conserving operator, so that each >time step may be interpreted as the application of such an operator. >The operator applied at each step would be conditional on the nxm >matrix A, and there would need to be some additional rules to define >that construction. I am very interested in anything that makes >dynamics more amenable to analysis. > >-Ian. > > > > Yes that is the aim, but the problem is that the operator matrix is dependent on the current amplitude matrix. I constructed the example matrices partly by hand and partly by aid of Mathematica.

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