Abstract
The paper reports results on a risk-neutral firm's research incentives. When unrelated to the firm's own stake in the program, the risks encourage or discourage risky research spending, depending on the properties of the research technology available. A non-decreasing time path of information builds the idea of an asymmetric probability distribution of the state of knowledge into the model. It follows that the required return on risky investments may actually fall short of the safe return. Since it is the upside risk that dominates, increased controllable risks will increase incentives for risky innovative activity. It is proved, but only in a more restricted framework (with differentiable processes), that the expectational effects involved will strengthen the positive relationship between controllable risks and the expected return.
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References
Abel, A. B. (1983): “Optimal Investment Under Uncertainty.”American Economic Review 73: 228–233.
Arrow, K. J. (1962): “Economic Welfare and the Allocation of Resources for Invention.” InThe Rate and Direction of Inventive Activity: Economic and Social Factors, edited by R. Nelson. Princeton, NJ: Princeton University Press. [NBER.]
Arrow, K. J., and Lind, R. C. (1970): “Uncertainty and the Evaluation of Public Investment Decisions.”American Economic Review 60: 364–378.
Benveniste, L. M., and Scheinkman, J. A. (1979): “On the Differentiability of the Value Function in Dynamic Models of Economics.”Econometrica 47: 727–732.
Bhattacharya, S., Chatterjee, K., and Samuelson, L. (1987): “Sequential Research and the Adoption of Innovations.”Oxford Economic Papers 38: 219–243.
Caballero, R. J. (1991): “On the Sign of the Investment-Uncertainty Relationship.”American Economic Review 81: 279–288.
Cox, J. C., Ingersoll, J. E., and Ross, S. A. (1985): “A Theory of the Term Structure of Interest Rates.”Econometrica 53: 385–407.
Dasgupta, P., and Stiglitz, J. (1980): “Industrial Structure and the Nature of Innovative Activity.”Economic Journal 90: 266–293.
Diamond, P., and Stiglitz, J. (1974): “Increases in Risk and in Risk Aversion.”Journal of Economic Theory 8: 337–360.
Dixit, A. (1989): “Entry and Exit Decisions under Uncertainty.”Journal of Political Economy 97: 620–638.
Drèze, J. H., and Modigliani, F. (1972): “Consumption Decisions under Uncertainty.”Journal of Economic Theory 5: 308–335.
Gallini, N. T., and Kotowitz, Y.: “Optimal R&D Processes and Competition.”Economica 52: 321–334.
Grossman, G. M., and Shapiro, C. (1986): “Optimal Dynamic R&D Programs.”Rand Journal of Economics 17: 581–593.
Hagen, K. P., and Kanniainen, V. (1990): “The R&D Effort and Taxation of Capital Income.” Discussion Papers No. 337, ETLA.
Jensen, M., and Meckling, W. (1976): “Theory of the Firm: Managerial Behavior, Agency Cost and Ownership Structure.”Journal of Financial Economics 3: 305–360.
John, K., and Senbet, L. (1990): “Limited Liability, Tax Deductibility of Debt, and Public Policy.” Mimeo.
Kamien, M. I., and Schwartz, N. L. (1971): “Expenditure Patterns for Risky R&D Projects.”Journal of Applied Probability 8: 60–73.
Lucas, R. E. (1971): “Optimal Management of a Research and Development Project.”Management Science 17: 679–697.
Lucas, R. E., and Prescott, E. C. (1971): “Investment under Uncertainty.”Econometrica 39: 659–681.
Malliaris, A. G., and Brock, W. A. (1981):Stochastic Methods in Economics and Finance. Amsterdam: North-Holland.
Merton, R. C. (1975): “An Asymptotic Theory of Growth Under Uncertainty.”Review of Economic Studies 42: 375–393.
Pindyck, R. S. (1982): “Adjustment Costs, Uncertainty, and the Behavior of the Firm.”American Economic Review 72: 415–427.
Reinganum, J. F. (1989): “The Timing of Innovation: Research, Development, and Diffusion.” InHandbook of Industrial Organization, Vol. 1, edited by R. Schmalensee and R. D. Willig. Amsterdam: North-Holland.
Roberts, K., and Weitzman, M. L. (1981): “Funding Criteria for Research, Development, and Exploration Projects.”Econometrica 49: 1261–1288.
Sato, R., and Beckman, M. J. (1968): “Neutral Inventions and Production Functions.”Review of Economic Studies 35: 57–65.
Spence, M. (1984): “Cost Reduction, Competition and Industry Performance.”Econometrica 52: 101–121.
Stiglitz, J. E. (1972): “On the Optimality of the Stock Market Allocation of Investment.”Quarterly Journal of Economics 86: 25–60.
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I am greatly indebted to three anonymous referees for helpful suggestions and to the Yrjö Jahnsson Foundation for financial support.
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Kanniainen, V. Optimal production of innovations under uncertainty. Zeitschrift für Nationalökonomie 57, 147–168 (1993). https://doi.org/10.1007/BF01237412
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DOI: https://doi.org/10.1007/BF01237412