Theory and Decision

, Volume 51, Issue 2–4, pp 351–365 | Cite as

More nonconcavities in information processing functions



The productivity of (human) information processing as an economic activity is a question that is raising some interest. Using Marschak's evaluation framework, Radner and Stiglitz have shown that, under certain conditions, the production function of this activity has increasing marginal returns in its initial stage. This paper shows that, under slightly different conditions, this information processing function has repeated convexities with ongoing processing activity. Even for smooth changes in the signals' likelihoods, the function is only piecewise smooth with non-differentiable convexities at points of conditional changes of action. For linear likelihood functions the processing value proves to be piecewise linear with convexities at these levels.

Value of Information Information Structures Information Processing Functions Information Economics Decision 


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  1. Arrow, K.J. (1974), Limits of Organization. New York: Norton.Google Scholar
  2. Arrow, K.J. (1975), Vertical integration and communication, Bell Journal of Economics 6, 173-183.CrossRefGoogle Scholar
  3. Arrow, K.J. (1985), Informational structure of the firm, American Economic Review, Papers and Proceedings 75, 303-307.Google Scholar
  4. Arthur, W.B. (1996), Increasing returns and the new world of business, Harvard Business Review 1996, pp. 100-109.Google Scholar
  5. Blackwell, D. (1951), Equivalent comparison of experiments, Annals of Mathematical Statistics 24, 265-272.Google Scholar
  6. March, J.G. (1994), A Primer on Decision Making. New York: Free Press.Google Scholar
  7. Marschak, J. (1954), Toward an economic theory of organization and information. In: R.M. Thrall, C.H. Coombs, and R.L. Davis (eds.), Decision Processes (pp. 187-220). New York: Wiley.Google Scholar
  8. Marschak, J. (1959), Efficient and viable organization forms. In: Haire, M. (ed.), Modern Organization Theory (pp. 307-320). New York.Google Scholar
  9. McGuire, C.B. (1972), Comparison of information structures. In: C.B. McGuire and R. Radner (eds.), Decision and Organization, 2nd edn (pp. 101-130). Amsterdam: North-Holland.Google Scholar
  10. Radner, R. (1992), Hierarchy: The economics of managing, Journal of Economic Literature 30, 1382-1415.Google Scholar
  11. Radner, R. and Stiglitz, J.E. (1984), A nonconcavity in the value of information. In: M. Boyer and R.E. Kihlstrom (eds.), Bayesian Models in Economic Theory (pp. 33-52). Amsterdam: North-Holland.Google Scholar
  12. Rüschendorf, L. (1988), Asymptotische Statistik. Stuttgart: B.G. Teubner.Google Scholar
  13. Schauenberg, B. (1986), Der Verlauf von Informationswertfunktionen. In: W. Ballwieser and K.-H. Berger (eds.), Information und Wirtschaftlichkeit (pp. 229-251).Wiesbaden: Gabler.Google Scholar

Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  1. 1.Department of Strategic Management and OrganizationHHL – Leipzig Graduate School of ManagementLeipzigGermany

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