The simplest model, with fixed price, was run
with 3 sellers and 30 buyers, for a
large variety of parameter configurations and initial conditions.
The following parameter configuration was chosen
to give simple time charts for shop performance
and to highlight differences in buyers behavior.
Price parameters b, c, and where respectively 1, 1, and 0.3,
which corresponds to a price of
for a purchased quantity
per transaction
(according to equation 3),
a profit per transaction
for the buyer
(equ. 2),
a critical non-linear parameter
(equ. 16)
and a profit per transaction
for the seller
(equ. 4).
Our choice of the memory constant of equation
(7) is
= 0.1.
Initial
were all 0.
Depending on the value of the non-linear parameter ,
the two predicted behaviours are observed.