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Generalized Quadratic Revenue Functions

  • Robert G. Chambers
  • Rolf Färe
  • Shawna Grosskopf
  • Michael Vardanyan

In this paper we focus on specification of revenue functions in their dual price space. We consider two distance functions, both dual to the revenue function: Shephard output distance function and the directional output distance function, both in price space. The former is multiplicative, satisfying homogeneity, the latter is additive satisfying transitivity. Functional equation methods yield translog specification for the Shephard case and quadratic for the directional case. Monte Carlo evidence suggests that the quadratic specification more precisely represents technology.

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File URL: http://www.cesifo-group.de/portal/page/portal/DocBase_Content/WP/WP-CESifo_Working_Papers/wp-cesifo-2008/wp-cesifo-2008-09/cesifo1_wp2404.pdf
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Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number 2404.

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Date of creation: 2008
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Handle: RePEc:ces:ceswps:_2404
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  27. Rolf Färe & Carlos Martins-Filho & Michael Vardanyan, 2010. "On functional form representation of multi-output production technologies," Journal of Productivity Analysis, Springer, vol. 33(2), pages 81-96, April.
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