A critical comment on Oosterhaven–Stelder net multipliers |
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Authors: | Louis de Mesnard |
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Affiliation: | (1) Regional Economics Application Laboratory, University of Illinois at Urbana–Champaign, Urbana–Champaign, IL, USA;(2) LEG (UMR CNRS 5118), Faculty of Economics and Management, University of Burgundy, 2 Bd Gabriel, B.P. 26611, Dijon Cedex, 21066, France |
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Abstract: | Recently, Oosterhaven and Stelder (OS; J Reg Sci 42(3):533–543, 2002; Trade, network and hierarchies: modeling regional and
interregional economies, pp. 119–133, 2002) have introduced the operational idea of a “compensated net multiplier” (CNM) to
take into account the double counting that occurs when output replaces final demand as an exogenous entry when the Leontief
model is used to evaluate operationally the impact of large investments. Each output gross multiplier is compensated by multiplying
it by the ratio of final demand to output. Oosterhaven (Research Report 04C01, 2004) has demonstrated that CNM fulfills an
axiom of “total output preservation,” namely that the sum of effects equals the total output. It is shown in the present paper
that the original CNM is only a homogenous formula with no causal link between the cause (the exogenous output) and the effect
(the total output), so that it cannot be a multiplier. The paper explores all the other possibilities for deriving CNM by
considering an exogenous output: (1) in absolute value; (2) in variation; and finally (3) at final equilibrium. Possibilities
(1) and (2) do not work while only the variation from zero is option (3) working, although imperfectly. The derivations yield
two results: (1) the final demand ratio, and so CNM, cannot be stable even if the technical coefficient matrix is fixed, except
for very small perturbations; (2) even if total output preservation derives from the definition of a multiplier, CNM cannot
fulfill total output preservation when an exogenous output is taken as the initial shock. De Mesnard (J Reg Sci 42(3):545–548,
200) has proposed another solution, “iterative net multiplier” (INM), derived by considering the successive rounds after an
exogenous impact of output. INM is stable and makes a link between cause and effect. In contrast to the assertions by OS (J
Reg Sci 42(3):533–543, 2002; Trade, network and hierarchies: modeling regional and interregional economies, pp. 119–133, 2002),
INM fulfills output preservation when an exogenous output is taken as the initial shock. Neither CNM nor INM must be confused
with the so-called “output-to-output multipliers.”
The author thanks two anonymous referees, T. John Kim and Geoffrey Hewings, for their very helpful remarks. |
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Keywords: | C67 D57 O20 R15 |
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