Abstract
This paper has three goals. First, we demonstrate that standard arguments and methods from production and duality analysis can be used to provide a comprehensive and general treatment of the value of information for a risk-averse firm with expected-utility (linear-in-probabilities) preferences and a general stochastic technology. Second, we place bounds on the value of information for a risk-averse firm and relate these bounds to characteristics of the technology and the producer’s preferences. The third and final goal is to derive the implications that information differences can have for measured efficiency differences and to relate the bounds on the value of information to those measured differences.
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References
Aigner DJ, Lovell CAK, Schmidtp (1997) Formualtion and estimation of stochastic frontier production function models. J␣Econometrics 6:21–37
Athey S (2000) Investment and information value for a risk-averse firm. Working Paper, MIT
Athey S (2002) Monotone comparative statics under uncertainty. Quart J Econ 117:187–223
Athey S, Levin J (2000) The value of information in monotone decision problems. Working Paper, MIT
Blackwell D (1951) Comparison of experiments. In: Neyman J (ed) Proceedings of the second Berkeley symposium on mathematical statistics, pp 93–102
Chambers RG, Quiggin J (2000) Uncertainty, production, choice, and agency: the state-contingent approach. Cambridge University Press, New York
Eeckhoudt L, Gollier C (1995) Demand for risky assets and the monotone probability ratio order. J Risk Uncertainty 11:113–122
Färe R (1988) Fundamentals of production theory. Springer-Verlag, Berlin
Gollier C (1995) The comparative statics of risk revisited. J Econ Theory 66:522–536
Hirshleifer J, Riley J (1992) The analytics of uncertanity and information. Cambridge University Press, New York
Lehmann EL (1988) Comparing location experiments. Ann Stat 16:521–533
McFadden D (1978) Cost, revenue, and profit functions. In: Fuss M, McFadden D (eds) Production economics: a dual approach to theory and applications. North-Holland, Amsterdam
O’Donnell C, Griffiths WF (2006) Estimating state-contingent production frontiers. Am J Agric Econ 88:289–301
O’Donnell C, Chambers RG, Quiggin J (2006) The role of information in explaining empirical efficiency differences in a stochastic world. University of Queensland, February 2006
Ormiston M, Schlee E (1992) Necessary conditions for comparative statics under uncertainty. Econ Lett 40:429–434
Ormiston M, Schlee E (1993) Comparative statics under uncertainty for a class of economic agents. J Econ Theory 61:412–422
Rockafellar RT (1970) Convex analysis. Princeton University Press, Princeton
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Chambers, R.G., Quiggin, J. Information value and efficiency measurement for risk-averse firms. J Prod Anal 27, 197–208 (2007). https://doi.org/10.1007/s11123-007-0038-6
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DOI: https://doi.org/10.1007/s11123-007-0038-6