On strategic complementarity conditions in Bertrand oligopoly

Rabah Amir () and Isabel Grilo

Economic Theory, 2003, vol. 22, issue 1, 227-232

Abstract: For Bertrand duopoly with linear costs, we establish via a single (counter-)example that: (i) A new monotone transformation of the firms' profit functions may lead to the supermodularity of transformed profits when the standard log and identity transformations both fail to do so, and (ii) Topkis's notion of critical sufficient condition for monotonicity of a Bertrand firm's best-reply correspondence cannot be extended to rely only on positive unit costs. Copyright Springer-Verlag Berlin Heidelberg 2003

Keywords: Keywords and Phrases: Price competition; Supermodularity; Single-crossing property; Critical sufficient condition.; JEL Classification Numbers: C72; D43; L13. (search for similar items in EconPapers)
Date: 2003
References: Add references at CitEc
Citations: View citations in EconPapers (5)

Downloads: (external link)
http://hdl.handle.net/10.1007/s00199-002-0283-x (text/html)
Access to full text is restricted to subscribers.

Related works:
Working Paper: On strategic complementarity conditions in Bertrand oligopoly (2003)
Working Paper: On strategic complementarity conditions in Bertrand oligopoly (2001)
Working Paper: Strategic Complementarity Conditions in Bertrand Oligopoly (2000)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joecth:v:22:y:2003:i:1:p:227-232

Ordering information: This journal article can be ordered from
http://www.springer. ... eory/journal/199/PS2

DOI: 10.1007/s00199-002-0283-x

Access Statistics for this article

Economic Theory is currently edited by Nichoals Yanneils

More articles in Economic Theory from Springer, Society for the Advancement of Economic Theory (SAET) Contact information at EDIRC.
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().