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Uncertainty and the size distribution of rewards from innovation
Authors:F. M. Scherer  Dietmar Harhoff  Jörg Kukies
Affiliation:John F. Kennedy School of Government, Harvard University, Cambridge, MA 02138, USA (e-mail: mike_scherer@harvard.edu), US
Universit?t München, D-80539 München, Germany, DE
Graduate School of Business, University of Chicago, Chicago, USA, US
Abstract: Previous research has shown that the distribution of profit outcomes from technological innovations is highly skew. This paper builds upon those detailed findings to ask: what stochastic processes can plausibly be inferred to have generated the observed distributions? After reviewing the evidence, this paper reports on several stochastic model simulations, including a pure Gibrat random walk with monthly changes approximating those observed for high-technology startup company stocks and a more richly specified model blending internal and external market uncertainties. The most highly specified simulations suggest that the set of profit potentials tapped by innovators is itself skew-distributed and that the number of entrants into innovation races is more likely to be independent of market size than stochastically dependent upon it.
Keywords::   Innovation –   Risk –   Uncertainty –   Skew distributions –   Gibrat's Law
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