DYNAMIC CAPACITY CHOICE IN A BERTRAND-EDGEWORTH-FRAMEWORK

Authors
Citation
D. Kovenock et S. Roy, DYNAMIC CAPACITY CHOICE IN A BERTRAND-EDGEWORTH-FRAMEWORK, Journal of mathematical economics, 29(2), 1998, pp. 135-160
Citations number
9
Categorie Soggetti
Social Sciences, Mathematical Methods",Economics,Mathematics,Mathematics
ISSN journal
03044068
Volume
29
Issue
2
Year of publication
1998
Pages
135 - 160
Database
ISI
SICI code
0304-4068(1998)29:2<135:DCCIAB>2.0.ZU;2-E
Abstract
We examine the implications of replacing the Cournot market clearing a ssumption with Bertrand-Edgeworth behavior when production is time-con suming. The benchmark is Saloner's result that when two firms simultan eously choose quantities in each of two periods before the market clea rs, every point on the outer envelope of the reaction functions betwee n the Stackelberg outcomes is sustainable in equilibrium (Saloner, 198 7). We demonstrate that in a symmetric Bertrand-Edgeworth duopoly, for small capacity costs, except for the leader-follower points, none of the points on the outer envelope of the best responses lying in the mi xed strategy region are sustainable in equilibrium. (C) 1998 Elsevier Science S.A.