id: 05510708
dt: j
an: 2009d.00497
au: Pagnoncelli, Bernardo K.; Schnoor, Miguel A.K.; Palmeira, Carlos F. B.;
Cayres, Rafael
ti: Cournot equilibrium: modern techniques applied to an old problem.
so: J. Interdiscip. Math. 11, No. 5, 601-616 (2008).
py: 2008
pu: Taru Publications, New Delhi, Delhi, India; Taylor \& Francis
la: EN
cc: M45
ut: oligopoly problem; eigenvalues; Shermann-Morrisonâ€™s formula
ci:
li: doi:10.1080/09720502.2008.10700586
ab: Summary: The Cournot oligopoly model was introduced in the 19th century,
and has been extensively studied since then. Most textbooks in
economics treat simplified cases only, with 2 or 3 firms competing for
the market. Here we show how the use of linear algebra in a level above
undergraduate courses can lead to the description of long term behavior
for the more general situations. Several modelling issues are
considered such as discrete or continuous time periods and constant or
linear marginal costs.
rv: