TY - JOUR AU - Sah,Raaj Kumar AU - Stiglitz,Joseph E. TI - The Invariance of R&D to the Number of Firms in the Industry JF - National Bureau of Economic Research Working Paper Series VL - No. 1798 PY - 1988 Y2 - 1988 UR - http://www.nber.org/papers/w1798 L1 - http://www.nber.org/papers/w1798.pdf N1 - Author contact info: Raaj Sah University of Chicago 1155 East 60th The Harris School Chicago, IL 60637 E-Mail: r-sah@uchicago.edu Joseph E. Stiglitz Uris Hall, Columbia University 3022 Broadway, Room 814 New York, NY 10027 Tel: 212/854-0671 Fax: 212/662-8474 E-Mail: jes322@columbia.edu AB - Thi spaper presents certain remarkably simple results concerning market's allocation to R&D and its comparison to socially efficient allocations. We posit that a firm can undertake more than one project aimed at the same innovation, and consider a product market characterized by Bertrand competition. Among the results we obtain is that the market R&D (that is, the number of projects undertaken, and the effort spent on different projects) is invariant to the number of firms. We also examine the effects of the number of firms on the gains from innovation to consumers, firms, and society, and show, in particular, that the market undertakes less R&D than is socially desirable. ER -