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...

It has long been recognized that the pleasure of consuming a good may be affected by the consumption choice of other consumers. At least two types of motivations may explain such a behavior. In some cases social pressures may lead to conformity; while in some other cases individuals may feel the...

Two producers offer differentiated goods to a representative consumer. The buyer has distinct marginal valuations for the quality of the products. Each producer perfectly knows the consumer's taste for its own product, but remains uninformed about its taste for the rival's product. When each...

We consider the two-stage game proposed by Kreps and Scheinkman [83] in the address model of horizontal differentiation developed by Hotelling. Firms choose capacities in the first stage and then compete in price. We show that capacity precommitment softens price competition drastically. In...