# Can probability theory deal with entrepreneurship?

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## Abstract

The Austrian theory of entrepreneurship emphasizes the importance of epistemic heterogeneity and the unlistability of the set of all possibilities. A similar concern with what has been called “the art of choosing the space of possibilities” is an important part of Bayesian model selection. Both Austrian and Bayesian authors view the common knowledge assumption as an unrealistic and unnecessary restriction. This coincidence of concerns leads to a joint theory of entrepreneurship. Three important benefits result from this merger: (1) the ability to use Itti & Baldi’s Bayesian theory of surprise to empirically measure radical surprise and improve the Betrand competition model as a consequence, (2) dealing with the unlistability problem, and (3) better understanding why the emergence of common knowledge is always the outcome of a social process rather than an inherent consequence of “rationality”.

## Keywords

Kiznerian entrepreneurship Bayesian surprise Unknown unknowns Radical uncertainty Bertrand competition## JEL Classification

D01 D83 D84 C11## Notes

### Acknowledgments

I have received very useful feedback on earlier versions of the paper from Dragos Paul Aligica, Simon Bilo, Peter Boettke, Bryan Caplan, Robert Cavender, Chris Coyne, Thomas Duncan, Jesse Gastelle, Laura Grube, Dave Hebert, Ryan Langrill, Peter Leeson, Jayme Lemke, William Luther, Lotta Moberg, Kyle O’Donnell, Shruti Rajagopalan, Alexander Salter, Solomon Stein, Virgill Storr, Jessi Troyan, and an anonymous reviewer.

## Supplementary material

## References

- Boettke, P. J. (1998). Rational choice and human agency in economics and sociology: Exploring the Weber-Austrian connection. In H. Giersch (Ed.),
*Merits and limits of markets*(pp. 53–81). Berlin: Springer.Google Scholar - Boettke, P. J., & Coyne, C. J. (2009). An entrepreneurial theory of social cultural change. In V. P. Díaz (Ed.),
*Markets and civil society: The European experience in comparative perspective*(pp. 77–103). New York: Berghahn Books.Google Scholar - Bretthorst, G. L. (1988).
*Bayesian spectrum analysis and parameter estimation.*Berlin: Springer-Verlag.Google Scholar - Bretthorst, G. L. (1990). An introduction to parameter estimation using Bayesian probability theory. In P. F. Fougère (Ed.),
*Maximum-entropy and Bayesian methods*(pp. 53–79). Dordrecht, Netherlands: Kluwer Academic Publishers.Google Scholar - Bretthorst, G. L. (1996). An introduction to model selection using probability theory as logic. In G. Heidbreder (Ed.),
*Maximum entropy and Bayesian methods*(pp. 1–42). Dordrecht, Netherlands: Kluwer Academic Publishers.Google Scholar - Caplan, B. (1999). The Austrian search for realistic foundations.
*Southern Economic Journal, 65*(4), 823–838.CrossRefGoogle Scholar - Caplan, B. (2001). Probability, common sense, and realism: a reply to Huelsmann and Block.
*Quarterly Journal of Austrian Economics, 4*(2), 69–86.Google Scholar - Clarke, K. A., & Primo, D. M. (2012).
*A model discipline: Political science and the logic of representations.*Oxford: Oxford University Press.Google Scholar - Cowen, T., & Hanson, R. (2007).
*Are disagreements honest?*Working Paper, George Mason University, Mercatus Center.Google Scholar - Crovelli, M. R. (2009). On the possibility of assigning probabilities to singular cases, or: probability is subjective too!
*Libertarian Papers, 1*(26).Google Scholar - Gigerenzer, G., Todd, P. M., The ABC Research Group. (1999).
*Simple heuristics that make us smart.*Oxford: Oxford University Press.Google Scholar - Gull, S. F. (1988). Bayesian inductive inference and maximum entropy. In G. J. Erickson & C. R. Smith (Eds.),
*Maximum-entropy and Bayesian methods in science and engineering, vol. 1: Foundations*(pp. 53–74). Dordrecht: Kluwer.CrossRefGoogle Scholar - Hayek, F. (1952).
*The counter-revolution of science: Studies on the abuse of reason.*Glencoe, Illinois: Free Press.Google Scholar - Headd, B. (2003). Redefining business success: distinguishing between closure and failure.
*Small Business Economics, 21*(1), 51–61.CrossRefGoogle Scholar - Hirshleifer, J. (1970).
*Investment, interest, and capital.*New Jersey: Prentice-Hall.Google Scholar - Hubbard, D. W. (2010).
*How to measure anything: Finding the value of intangibles in business*(2nd ed.). New Jersey: John Wiley & Sons.Google Scholar - Itti, L., & Baldi, P. F. (2005). A principled approach to detecting surprising events in video.
*Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 1*, 631–637.Google Scholar - Itti, L., & Baldi, P. F. (2006). Bayesian surprise attracts human attention. In
*Advances in neural information processing systems, vol. 19*(pp. 547–554). Cambridge, MA: MIT Press.Google Scholar - Jaynes, E. (1985). Entropy and search-theory. In C. R. Smith & W. T. Grandy Jr. (Eds.),
*Maximum-entropy and Bayesian methods in inverse problems*(pp. 443–454). Dordrecht, Netherlands: D. Reidel Publishing Company.Google Scholar - Jaynes, E. (1986). Bayesian methods: General background. In J. H. Justice (Ed.),
*Maximum-entropy and Bayesian methods in applied statistics*(pp. 1–25). Cambridge: Cambridge University Press.Google Scholar - Jaynes, E. (1988). How does the brain do plausible reasoning. In G. J. Erickson & C. R. Smith (Eds.),
*Maximum-entropy and Bayesian methods in science and engineering, vol. 1. Foundations*(pp. 1–24). Dordrecht, Netherlands: Kluwer Academic Publishing.Google Scholar - Jaynes, E. (2003).
*Probability theory: The logic of science*. Cambridge: Cambridge University Press.CrossRefGoogle Scholar - Jeffreys, H. (1961).
*Theory of probability*(3rd ed.). Oxford: Oxford University Press.Google Scholar - Jensen, F. V., & Nielsen, T. D. (2007).
*Bayesian networks and decision graphs*(2nd ed.). Berlin: Springer.Google Scholar - Kass, R. E., & Wasserman, L. (1996). The selection of prior distributions by formal rules.
*Journal of the American Statistical Association, 91*(435), 1343–1370.CrossRefGoogle Scholar - Keynes, J. M. (1921).
*A treatise on probability.*London: Macmillan And Co.Google Scholar - Kirzner, I. (1973).
*Competition and entrepreneurship.*Chicago: University of Chicago Press.Google Scholar - Kirzner, I. (1976). Equilibrium versus market process. In E. G. Dolan (Ed.),
*The foundations of modern Austrian economics.*Kansas: Sheed and Ward.Google Scholar - Kirzner, I. (1980).
*Perception, opportunity and profit: Studies in the theory of entrepreneurship.*Chicago: University of Chicago Press.Google Scholar - Kirzner, I. M. (1997). Entrepreneurial discovery and the competitive market process: an Austrian approach.
*Journal of Economic Literature, 35*(1), 60–85.Google Scholar - Klein, D. B. (2012).
*Knowledge and coordination.*Oxford: Oxford University Press.Google Scholar - Knaup, A. E. (2005). Survival and longevity in the business employment dynamics data.
*Monthly Labor Review, 5*, 50–56.Google Scholar - Knight, F. H. (1921).
*Risk, uncertainty, and profit.*Cambridge: Houghton Mifflin Company, The Riverside Press.Google Scholar - Lachmann, L. M. (1976). On the central concept of Austrian economics: Market process. In E. G. Dolan (Ed.),
*The foundations of modern Austrian economics.*Kansas: Sheed and Ward.Google Scholar - Langlois, R. N. (1982a).
*Subjective probability and subjective economics.*R.R. #82-09, New York University, C.V. Starr Center for Applied Economics.Google Scholar - Langlois, R. N. (1982b).
*Entrepreneurship and knowledge.*R.R. #82-13, New York University, C.V. Starr Center for Applied Economics.Google Scholar - Laplace, P. S. (1840 [1951]).
*A philosophical essay on probabilities*(6th ed.). (F. W. Truscott, & F. L. Emory, Trans.) Dover.Google Scholar - Lucas, R. E. (1977). Understanding business cycles.
*Carnegie-Rochester Conference Series on Public Policy, 5*, 7–29.CrossRefGoogle Scholar - Milgrom, P., & Stokey, N. (1982). Information, trade and common knowledge.
*Journal of Economic Theory, 26*(1), 17–27.CrossRefGoogle Scholar - Mises, L. (1996 [1949]).
*Human action: A treatise on economics*(4th ed.). San Francisco: Fox & Wilkes.Google Scholar - Mises, L. (1957 [2007]).
*Theory and history.*Auburn, Alabama: Ludwig von Mises Institute.Google Scholar - O’Driscoll Jr., G. P., & Rizzo, M. (1985).
*The economics of time and ignorance.*Oxford: Blackwell.Google Scholar - Phillips, L. D. (1970). The ‘true probability’ problem.
*Acta Psychologica, 34*, 254–264.CrossRefGoogle Scholar - Romer, P. (1993). Economic growth. In D. R. Henderson (Ed.),
*The concise encyclopedia of economics.*Indianapolis, IN: Liberty Fund, Inc.Google Scholar - Samuelson, L. (2004). Modeling knowledge in economic analysis.
*Journal of Economic Literature, 42*(2), 367–403.CrossRefGoogle Scholar - Sarasvathy, S. D. (2001). Causation and effectuation: toward a theoretical shift from economic inevitability to entrepreneurial contingency.
*Academy of Management Review, 26*(2), 243–288.Google Scholar - Sarasvathy, S. D. (2003). Entrepreneurship as a science of the artificial.
*Journal of Economic Psychology, 24*(2), 203–220.CrossRefGoogle Scholar - Sarasvathy, S. D., & Dew, N. (2007).
*Without judgment: An empirically-based entrepreneurial theory of the firm.*Working Paper 84, George Mason University, Mercatus Center.Google Scholar - Schutjens, V., & Stam, E. (2006).
*Starting anew: Entrepreneurial intentions and realizations subsequent to business closure.*Research Paper ERS-2006-015-ORG, Erasmus Research Institute of Management.Google Scholar - Shane, S. A. (2008).
*The illusions of entrepreneurship: The costly myths that entrepreneurs, investors, and policy makers live by.*New Haven & London: Yale University Press.Google Scholar - Suppes, P. (1986).
*Probabilistic metaphysics.*Oxford: Blackwell.Google Scholar - Vosniadou, S., & Ortony, A. (Eds.). (1989).
*Similarity and analogical reasoning.*Cambridge: Cambridge University Press.Google Scholar - Wu, B., & Knott, A. M. (2006). Entrepreneurial risk and market entry.
*Management Science, 52*(9), 1315–1330.CrossRefGoogle Scholar