The effects of intensity of product market competition on R&D incentives ar
e analysed in a model capturing the strategic interactions between firms wi
th different cost levels. First, four axioms are proposed that a measure of
intensity of competition should satisfy. Then the effects of intensity of
competition on the value of the innovation are analysed. And it is shown th
at the axioms imply the existence of a non-monotone relation between intens
ity of competition and the value of an innovation. (C) 2001 Elsevier Scienc
e B.V. All rights reserved.