economic tension

Economic Tension
It is a number that measures, for a set a proposals that could form a barter contract, the global economic requirements of participants. When the economic tension is less than 1, a compromise can be obtained between proposals.

Last news
This principle has been implemented on: http://www.openbarter.net
You are invited to experiment it.

Formal statement
In a trade where:
* each participant made a proposal defined by two natures of goods and two quantities qn and qe. The proposal is expressed as:
I need a quantity qn of one good, and if I receive qb<=qn of this good,
I will give in exchange at most a quantity qe*qb/qn of an other good.

* proposals form a loop of commitments where each participant accepted what the precedent proposed.

The economic tension of the trade is the product of all qn divided by the product of all qe.
The quantity has no dimension, and we show at http://www.openbarter.net that the trade can be accepted by all participants only if the economic tension is less than 1. The trade produces a profit for the participants when the economic tension is strictly less than 1.

Comments
The proposal is expressed in order than:
* if qn is received, at most qe will be given,
* if qn/10 is received, at most qe/10 will be given, etc.

The rate obtained is the ratio between quantity received and quantity given. There can be a profit when the rate obtained by the agreement of the participants is better than the minimum defined (qn/qe), and we can define a strategy to distribute equally the profit between them.