Abstract
Empirical evidence on stock prices shows that firms investing successfully in radical innovation experience higher stock returns. This paper provides a model that sheds light on the relationship between the degree of firm innovativeness and stock returns, the movements of which capture expectations on firm’s profitability and growth. The model is grounding on Neo-Schumpeterian growth models and relies on the crucial assumption of radical innovation, characterized by “ambiguity” or Knightian uncertainty: due to its uniqueness and originality, no distribution of probability can be reasonably associated with radical innovation success or failure. Different preferences (α-maxmin, Choquet) are here compared. Results show that the assumption of ambiguity-aversion is crucial in determining higher returns in the presence of radical innovation and that the specific definition of expected utility shapes the extent of the returns. This result holds also in the case of endogenous innovation; risk attitude plays no role.
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Notes
Demand for labor is omitted because we focus on demand for capital since innovation occurs through the introduction of a new capital good.
The subjective expectations that agents formulate on probabilities are assumed to be “rational”: the assumption of rationality per se does not specify the exact expectations that people hold but asserts that agents hold objectively correct expectations conditional on the information they possess (Manski 2004). More on this in footnote 3.
An expert agent might be capable to formulate subjective distributional probability also in highly uncertain environments (Cooke 1991; O'Hagan et al. 2006), relying on sophisticated techniques such as, for instance, stochastic programming (e.g. Keppo and van der Zwaan 2012) or the determination of the option value of an innovation (e.g. Siddiqui et al. 2007). However, in practice an expert can only make a finite number (and usually a rather small number) of statements of belief about a random variable (Garthwaite et al. 2005): even when familiar with probabilities and their meaning, experts might face difficulties in assessing a probability value for an event accurately.
As emphasized in Einhorn and Hogarth (1982), in ambiguous situations people use an anchoring-and-adjustment strategy in which an initial probability is used as the anchor, and adjustments are made for ambiguity. This means that, for instance, receiving new information reduces ambiguity because reduces the range of possible outcomes without changing the anchor probability.
Gambardella (1995) compares the “random search” phase with the “guided search” phase of the pharmaceutical industry, and provides some insight on why there may be less uncertainty associated with high innovation.
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Grieco, D. Innovation and stock market performance: A model with ambiguity-averse agents. J Evol Econ 28, 287–303 (2018). https://doi.org/10.1007/s00191-017-0537-1
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DOI: https://doi.org/10.1007/s00191-017-0537-1