Multivariate calculus for experts

As previously announced, Eulora now logs trades of players. So problem solved, right, we'll soon see prices of all items and that's that.

Wrong.

For one thing : supposing the players are P1, P2, ... Pi... Pn whereas the items are I1, I2, ... Ii... In, the logs look in practice like a whole lot of

Pq gave Pu : Cv of item Is and Cn of item Ih and Cm of item Ij,

whereas Pu gave Pq the sum of 17`230`715 ECu.

Py gave Pi : Cz of item Is and Cx of item Ih,

whereas Pi gave Py : Cb of item Ig and Cm of item Ij.

This doesn't readily reduce to anything, so Joe traded five matches and three ducks to Moe for fifty dollars and half a bag of tobacco. Is a duck worth two matches or isn't it ?

Well... if you aggregate enough of these trades to provide sufficient constraint you MIGHT be able to resolve the matter, in the sense of allocating exact values. If you can't allocate exact values, you should however always be able to provide the boundries for all items involved, so that Value(Ix) is within an [a,b] set so that b

Sunday, 08 May, Year 8 d.Tr.

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