I would appreciate your comments on this market place model.
If it was used to regulate the ecologic economy, it would make it
independant of any possible financial crisis.

I expect you will excuse my english language, and will consider the
matter more than the form.
I am the author of the prototype and looks for support to develope it.
I will maintain it available in order than you can experiment it
http://www.openbarter.org

Regards

Olivier Chaussavoine

abstract
**********
We present a market place to barter measurable commodities that does
not use any monetary medium.
It's prototype openBarter allows competition on prices and, thanks to
multilateral agreements fostering cooperation, allows a coincidence of
wants as probable as if a monetary medium were used.

1. Notion of price
*******************
When measurable commodities are exchanged, the price is the ratio
between received and provided commodities. The price is defined for a
couple of commodities, but not for a single commodity as we understand
it usually.
It can be expressed by defining the quantities of commodities received
and provided. For example 2 grams of gold for 1 baril of petrol. It
can also be expressed using the ordinary definition of price. If the
gold is 50.01 $/gram and the petrol 95.89$/baril, the price is
expressed by 95.89 grams of gold for 50.01 barils of petrol.
Even if a monetary medium is used to express it, the price remains
independent of this medium.
By "competition on prices", we mean the search for the cycle of bids
whose product of prices - a non dimensional number - is minimum. This
cycle meets offers whose prices are the lowest. We call it the "best
possible agreement".
By "stock", we mean a quantity of commodities associated with one or
several bids whose author is the owner.

2. Description of openBarter
********************************
The market place openBarter allows competition on prices. Thanks to
multilateral agreements fostering cooperation, it allows a coincidence
of wants as probable as if a monetary medium where used.
The market place allows participants to:

* Publish unilateral commitments to exchange (§2.1 publication of
bids)
* Search for the best best possible agreements for reachable
commodities (§2.2 search for proposals)
* Decide on draft agreements proposed by partners (§2.3 draft
approval)
* Remain free to use it's stocks for other purpose along all these
operations.

Multilateral agreements are compromises found between unilateral
agreements to exchange - the bids - by adjusting if necessary their
prices. This adjustment is for each partner an effort that the market
place shares equally between them.
The publication of a bid provokes the search for best possible
agreement(s) that are submitted as draft as soon as they are found. A
draft agreement is formed by putting aside commodities, decreasing
available stocks of bids forming the exchange cycle. Bids remaining on
the market place are only those that cannot be satisfied.
In technical terms, the market place always maintains the set of
offers as an acyclic graph.

2.1. Publication of bids
**************************
A participant owning an excess of some commodities can exchange it by
declaring this quantity as a stock. He defines his bid using this
stock and a price he wants to obtain for the commodity he asks for in
exchange. Several bids can be made on the same stock.
When, for a given stock, the list of bids is defines, it is published
sequentially in the same order on the market place.
A participant can at any time withdraw his stock. This action makes
commodities of this stock available, withdraws the bids related to the
stock and the draft agreements related to these bids whatever are
their approval status. At the end, these commodities are again
available for new bids.
The publication of a bid that can be matched with others is
immediately converted into draft agreements.

2.2. Search for proposals
*****************************
Looking for opportunities, a participant can search for possible
agreements by defining the nature of the commodity he is looking for;
then the nature of the commodity he wants to provide in exchange. He
obtains a draft agreement where the quantity he provides and the price
are defined by default.
The provided quantity defined is the maximum available according to
stocks of partners of the draft agreement.
The price defined is computed from prices of their bids without any
adjustment.
The participant can modify the price of the agreement. The effort
necessary to obtain it is shared between partners. He can also modify
the provided quantity.
When he obtains the convenient draft, he submits the draft agreement
for approval to other partners.

This draft agreement is for partners the first opportunity of the
market, due to the acyclic property of the graph of bids. It's for
them the best price whatever the price defined is, since there is a
single opportunity.
The submission provokes the creation of a bid that produces the
proposed draft.

2.3. Roundings
*****************
Roundings are necessary to compute the draft project. If, for example,
we provide 0.1 EURO in exchange of dollars at the price of 1.456 $/EURO, the
draft project will propose 0 .10 EURO in exchange of 0.15$. At a different
scale, for AirbusA340 in exchange of Kilos of phosphate, the agreement
will happily propose integer values of AirbusA340 and will compute
necessary roundings to be as near as possible to the prices requested
by partners.
When a nature of value is defined, the quantum is chosen in order than
roundings can be ignored by partners. We try to avoid values whose
quantum is too large.
A draft agreement presented to participants is the result of this
rounding process; it provides the maximum rounding error made, for
example 1/(10*10*10).

2.3.1. Effort
**************
The effort is related to a draft agreement; it is the ratio between
the price of the draft agreement and the price defined by the bid of
the participant. It is 1 when these prices are equal, and grows as the
effort of partners grows. The draft agreement is computed in order to
share equally this effort between partners.
The sharing remains fair even if several bids of the same partner are
met in the same draft agreement.

2.4. Draft Approval
*********************
Any draft agreement is submitted to partner's approval. When a partner
approved a draft and waits for approval of other partners, he can
refuse it to use commodities of his stocks for other opportunities.
When the draft is approved by all partners, it is executed.
If it is refused by a partner, it's decision is stored for his bid(s)
in order than no future draft proposes the same relation with other
bids.

3. Limits
***********
Due to algorithmic reasons, the computation volume necessary for the
agreement searching grown as the ratio between the diversity of values
and the number of bids.
This market place is well adapted to a situation where the number of
values is not too large, and where the number of partners necessary
for the coincidence of wants is not too large.
But the number of bids can be as large as necessary without any
computational limitations.


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