A NOTE ON THE GENERAL MATHEMATICAL EQUIVALENCY OF ECONOMIC BASE AND AGGREGATE INPUT-OUTPUT MULTIPLIERS: FACT OR FICTION*

ABSTRACT A longstanding inconsistency in the definition of basic and nonbasic economic activity is resolved. When indirect exports are included in the basic, rather than the nonbasic sector, and the model is closed with respect to households, economic base and aggregate input-output mulitpliers constructed with the same data and definitions will be mathematically identical.     

A NOTE ON THE STABILITY PROPERTY OF SPATIAL COMPETITION*

ABSTRACT. Our study extends the standard comparative static analysis to allow for dynamic aspects of equilibrium in spatial competiton. We investigate dynamic stability properties via the Routh-Hurwitz criterion. Nontrivial equilibria in the so-called Löschian, Hotelling-Smithies, and Greenhut-Ohta models are shown to be stable even under heterogeneous cost conditions among competing firms, conditions not considered hitherto. We can thus provide powerful support to the comparative static analyses which can only be developed via equilibrium concepts with stability properties.     

A PRACTICAL NOTE ON THE NEOCLASSICAL ECONOMIC-BASE MARGINAL MULTIPLIER*

Computation and usage of my neoclassical economic-base marginal multiplier formula (Merrifield, 1987) is simplified. The note points out the economic parameters that must be estimated with some care and for which rough approximations suffice. It also indicates when the size of the multiplier will be significantly affected by the source of the exogenous stimulus (factor- or output-price change). The traditional bifurcation effort must be supplemented with careful estimates of only a small subset of the other parameters. For most of the simulated parameter combinations, the multiplier based on exogenous factor-price changes differed from the multiplier based on output-price changes by less than 10 percent.     

THE SENSITIVITY OF INPUT-OUTPUT MULTIPLIERS*

The present paper derives analytical expressions for the sensitivity of input-output multipliers to errors in the data. The effects on the simple output multipliers are investigated for additive errors, multiplicative errors in the columns, multiplicative errors in the rows, error rectangles, the error couple and the single error, and price changes. In contrast to earlier investigations, the results are not obtained from the Leontief inverse. The present approach focusses on the effects of errors on the eigenvector corresponding to the dominant eigenvalue. It is indicated how similar expressions may be derived for several other multipliers.     

ON THE PLAUSIBILITY OF THE SUPPLY-DRIVEN INPUT-OUTPUT MODEL: EMPIRICAL EVIDENCE ON JOINT STABILITY*

ABSTRACT. This paper addresses the issue of the plausibility of the supply-driven input-output model from an empirical standpoint. We suggest that requiring production coefficients to remain perfectly fixed during an application of the supply-driven input-output model is unnecessarily restrictive given the extensive use of approximation methods in mathematics, economics and regional science. Simulations with the supply-driven version of an input-output table for a representative region are shown to result in changes in the corresponding production coefficients well within conventional tolerance levels.     

A NOTE ON THE POLITICAL EXPENDITURE CYCLE IN LATIN AMERICA*

In an earlier paper I established that Latin American executives both civilian and military, manipulate aggregate public expenditures so as to maximize their chances of retaining office. This paper carries the analysis further by elaborating five probable strategies, each consequent to the socio-political conditions executives face, and links strategies to tradeoffs in various programs' shares of the budget at crucial periods. The results suggest that in fact executives do respond to their survival problems by manipulating expenditure shares.     

THE ROLE OF ERROR STRUCTURE IN SIMULATIONS ON REGIONAL INPUT-OUTPUT ANALYSIS*

Previous simulation experiments on regional input-output analysis have concluded that regional purchase coefficients are more important than technical coefficients in contributing to multiplier accuracy. This paper shows that the multiplicative error structure used in those experiments may have biased the results. A new error structure, combining a multiplicative and an additive component is introduced, and simulations are conducted on randomly generated models. The analysis shows that the results are sensitive to the relative magnitudes of the two error components, as well as to the closure of the model.     

A NOTE ON NEIGHBORHOOD SIZE AND THE MEASUREMENT OF SEGREGATION INDICES*

This note examines neighborhood segregation measures with respect to size and validity. Conventional measures, while related to within-neighborhood homogeneity, are not necessarily related to neighborhood size. An empirical test examines racial segregation for Baltimore in 1970 and 1980 using both census tract and specially formulated neighborhood aggregates. For both years, and for all measures of segregation, the values and trends are essentially unchanged by the level of aggregation.     

UPPER BOUNDS ON THE SIZES OF INTERREGIONAL FEEDBACKS IN MULTIREGIONAL INPUT-OUTPUT MODELS*

ABSTRACT. Upper bounds are presented for a measure of the overall percentage error caused in a multiregional input-output model when interregional feedback effects are ignored. This error figure is thus a measure of the magnitude of interregional linkages. The upper bounds are expressed as a function of the levels of self-sufficiency in the regions in the model and of the norms of the regional technical coefficients matrices. Experimental results are presented for a variety of examples that are thought to reflect real-world situations, and it is clear that in many cases the upper bound (and hence the error) is extremely small. The implication is that single-region input-output models may be adequate for a variety of questions.