An existence theorem of monopolistically competitive equilibrium of the economy in which commodities are subject to differentiation will be proved. We start with the existence theorem of Negishi (1961) and extend it to the commodity space of measures on a compact metric space. In so doing, we...

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)...

Both oligopoly theory and experiments are concerned almost uniquely with sellers' behavior. Buyers' ability to exhibit non-trivial behavior in different market institutions remains unaddressed. This paper investigates the impact of three variables (number of buyers, surplus division at the...

We present a new approach to endogenizing technological spillovers. Firms choose levels of a cost-reducing innovation from a continuum before they engage in competition for each other's R&D-employees. Successful bids for the competitor's employee then result in higher levels of cost reduction....

We consider a Bertrand duopoly model with increasing returns to scale where one of the firms have a cost advantage and prices vary over a grid. We find that typically more than one equilibria exist. However, there are only two perfect equilibria. Moreover, as the size of the grid becomes small,...

Models of spatial competition are typically static, and exhibit multiple free-entry equilibria. Incumbent firms can earn rents in equilibrium because any potential entrant expects a significantly lower market share (since it must fit into a niche between incumbent firms) along with fiercer price...

In models of product differentiation and location models it is implicitly assumed that consumers can afford to buy the differentiated goods in the market. I show that with income heterogeneity there are severe existence problems of a price equilibrium in models of horizontal product...