How to Motivate Innovation : Subsidies or Prizes ?

This paper investigates the optimal design of research contests. A “principal”, who values an innovative technology, attempts to speed up the discovery. In order to minimize the expected amount of innovation time required, the principal decides how to allocate the …xed budget between a top-up prize (e.g. a procurement contract) and e¢ ciency-enhancing subsidies (e.g. research grants) to competing R&D …rms. Our paper shows that although both subsidies and prize incentives facilitate success, their functions di¤er subtly and the ability of one to substitute the other is limited. The main results are as follows. Firstly, the optimal contest preferentially subsidizes the ex ante less e¢ cient …rm. Secondly, more resources are devoted to research subsidies when the private bene…t of the innovation to the successful innovator increases. Finally, more resources are allocated as subsidies when the innovation process involves more uncertainty. JEL Nos: C7, D7, J3

[1]  Jennifer F. Reinganum The timing of innovation: Research, development, and diffusion , 1989 .

[2]  Jingfeng Lu,et al.  Contest Design and Optimal Endogenous Entry , 2006 .

[3]  Michael R. Baye,et al.  Rigging the Lobbying Process: An Application of the All-Pay Auction , 1993 .

[4]  F. Lichtenberg The Private R&D Investment Response to Federal Design and Technical Competitions , 1988 .

[5]  M. Kräkel R&D spillovers and strategic delegation in oligopolistic contests , 2004 .

[6]  David Wettstein,et al.  Innovative Activity and Sunk Cost , 2003 .

[7]  Vincenzo Denicolò,et al.  On the Winner-Take-All Principle in Innovation Races , 2007 .

[8]  Michael R. Baye,et al.  The strategic equivalence of rent-seeking, innovation, and patent-race games , 2003, Games Econ. Behav..

[9]  Jordi Jaumandreu,et al.  Barriers to Innovation and Subsidy Effectiveness , 2001 .

[10]  B. Moldovanu,et al.  The Optimal Allocation of Prizes in Contests , 2001 .

[11]  Curtis R. Taylor Digging for golden carrots: an analysis of research tournaments , 1995 .

[12]  Jingfeng Lu,et al.  Contest with pre-contest investment , 2009 .

[13]  Ian L. Gale,et al.  Caps on Political Lobbying , 1998 .

[14]  P. Dasgupta,et al.  Industrial Structure and the Nature of Innovative Activity , 1980 .

[15]  B. Moldovanu,et al.  Carrots and Sticks: Prizes and Punishments in Contests , 2008 .

[16]  Vincenzo Denicolò,et al.  Two-Stage Patent Races and Patent Policy , 2000 .

[17]  Derek J. Clark,et al.  Allocation efficiency in a competitive bribery game , 2000 .

[18]  J. Münster Contests with Investment , 2007 .

[19]  Jingfeng Lu,et al.  The optimal multi-stage contest , 2012 .

[20]  Kai A. Konrad,et al.  Strategy in Contests - An Introduction , 2007 .

[21]  Federico Etro Innovation by Leaders , 2004 .

[22]  Jingfeng Lu,et al.  A Micro Foundation of Generalized Multi-Prize Lottery Contests: A Noisy Ranking Perspective , 2008 .

[23]  Tom Lee,et al.  Market Structure and Innovation: A Reformulation , 1980 .

[24]  R. McAfee,et al.  Auctionin Entry into Tournaments , 1999, Journal of Political Economy.

[25]  Ian L. Gale,et al.  Optimal Design of Research Contests , 2003 .

[26]  Saul Lach,et al.  Do R&D Subsidies Stimulate or Displace Private R&D? Evidence from Israel , 2000 .

[27]  Qiang Fu,et al.  A Theory of Affirmative Action in College Admissions , 2005 .