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...

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...

A model of duopoly competition in nonlinear pricing when firms are imperfectly informed about consumer locations is analyzed. A continuum of consumers purchase a variable amount of a product from one of two firms located at the endpoints of the market. At the Nash equilibrium in quantity-outlay...

We show that in large finite economies, core allocations can be approximately decentralized as Nash (rather than Walras) equilibrium. We argue that this excrcise is an essential complement to asymptotic core equivalence results, because it implies that in some approximate sense individual...

The literature on supermodular optimization and games is surveyed from the perspective of potential users in economics. This methodology provides a new approach for comparative statics based only on critical assumptions, and allows a general analysis of games with strategic complementarities....

We show that in a duopoly operating in a congested market, with a general congestion function and an arbitrary distribution of consumer disutility for congestion, there cannot exist an asymmetric Nash equilibrium. We also show that whenever an equilibrium does exist it is unique. Closed form...

This paper considers a model of district formation that incorporates a notion of regional industrial systems. Each firm chooses its location from the set of existing industrial districts. The heterogeneous firms are distinguished by its "stand alone" district-dependent production and...

We model firm pricing given consumers follow simple reservation price rules. Such reservation rules are rational when consumers are sufficiently impatient. The equilibrium exhibits price dispersion in pure strategies, with lower price firms earning higher profits. The range of price dispersion...

While ordinal complementarity is more general than cardinal complementarity, the corresponding global sufficient conditions placed on the primitives of a constrained optimization problem are generally not comparable. We explore this issue in detail for the special case of a Cournot firm. We...

A duopoly model of cost reducing R&D-Cournot competition is extended to study the endogenous timing of R&D strategic investment. Under the assumption that R&D spillovers only flow from the R&D leader to the follower, sequential and simultaneous play at the R&D stage are compared, in order to...