For Bertrand duopoly with linear costs, we establish via a single counterexample 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, and (ii) Topkis's notion of...

We reconsider the Cournot oligopoly problem in light of the theory of supermodular games. Invoking the recent ordinal version of this theory proposed by Milgrom Shannon (1991), we generalize Novshek's (1985) existence result, give an extension of a classical existence result under symmetry, and...

We consider the issue of endogenous timing, according to the extended game of Hamilton-Sluytsky (1990), for the classical Coumot and Bertrand duopolies. We provide minimal sufficient conditions, directly on the primitives of each model (i.e. the demand and cost functions), yielding the...

We provide an extensive and general investigation of the effecst on industry performance - profits, social welfare and price-cost margins - of exogenously changing the number of firms in Cournot markets. This includes an in-depth exploration of the well-known trade-off between competition and...

In the framework of symmetric Cournot oligopoly, this paper provides two minimal sets of assumptions on the demand and cost functions that imply respectively that, as the number of firms increases, the minimal and maximal equilibria lead to (i) decreasing industry price and increasing or...