Cournot games with biconcave demand

B-Tier
Journal: Games and Economic Behavior
Year: 2014
Volume: 85
Issue: C
Pages: 37-47

Score contribution per author:

2.011 = (α=2.01 / 1 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

Biconcavity is a simple condition on inverse demand that corresponds to the ordinary concept of concavity after simultaneous parameterized transformations of price and quantity. The notion is employed here in the framework of the homogeneous-good Cournot model with potentially heterogeneous firms. The analysis leads to unified conditions, respectively, for the existence of a pure-strategy equilibrium via nonincreasing best-response selections, for existence via quasiconcavity, and for the uniqueness of the equilibrium. The usefulness of the generalizations is illustrated in cases where inverse demand is either “nearly linear” or isoelastic. It is also shown that commonly made assumptions regarding large outputs are often redundant.

Technical Details

RePEc Handle
repec:eee:gamebe:v:85:y:2014:i:c:p:37-47
Journal Field
Theory
Author Count
1
Added to Database
2026-01-25