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By D. Royer, G. Ritschard (auth.), J. P. Ancot (eds.)

Understanding the constitution of a giant econometric version is just like the paintings of winetasting or just like the paintings of enjoying a musical tool. the standard of a wine effects from a posh blend of varied parts akin to its color which might be transparent and crystalline, its scent that are decomposed right into a common aroma and various specific features, kind of chronic counting on the kind and the age of the wine, its style, in fact, which back is a fancy method whose equilibrium and style rely on the full set of parts: alcohol, tannin, glycerine, sugar, acidity . . . equally, a clarinetist's musicianship is determined by the standard of his software, on his embouchure, fingering, tonguing and articu­ lation recommendations, on his experience for rhythm, phasing and tone color. besides the fact that, the attraction produced by means of a Romanee-Conti or by way of a super functionality of Brahm's F minor sonata for clarinet and piano arises from a method that's while time a lot less complicated and masses extra complicated than the simple juxtaposition of person causal family members. in recent times econometricians and macro-economists were challenged by way of the matter of protecting abreast with an ever expanding variety of an increasing number of complicated huge econometric types. the need of constructing systematic analytical instruments to review the usually implicit and hidden constitution of those versions has develop into extra evident.

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56 Proof of Lemma 1: We shall assume that Fx = Fy and show that R*(x) = R*(y). Let ze R*(x), then there exists a path of origin x and endpoint x. Hence, there exist two integers ieN* and jeN* such that xe e (i, z) and ze e G, x). Since Fx = Fy' one has xeF y and ye Fx' so that xe U f*k({y}) and ye U f*k({x}): hence there exists keN and leN such keN keN that x€f*k({y}) and yef*I({x}). If one of the two integers k or I is equal to zero, then x = y and one obtains trivially R*(x) =R*(y). If none of the two integers k or I is zero, one has xee (k, y) and yee (1, x).

In other words, relations Cc and Cs are unique for a given model, and are not related to the chosen variables-equations assignment and to the binary relation C. , written in PASCAL code (which automatically also performs the second reading step), we analyse both readings of the small theoretical model of the CEPREMAP by Laffargue (1980), the quarterly Wharton model (equations listed by Gilli (1979)), the quarterly model of Fair (1976), the yearly MINI-DMS (in the 'new basis' version of Brillet (1981b), the quarterly model FRB-MIT-PENN (its equations are in Ando, Modigliani and Rasche (1972)), and the quarterly model METRIC (in its first version -see Metric (1977)).

CNRS No 15. Keller, A. S. E. de l'Universite de Paris. P. (1980), 'Les modeles dynamiques de polititque economique: dialogue entre Ie theoricien et l'economctre', Annales de I'INSEE, No 40. METRIC (1977), Annales de I'INSEE, No 26-27. A. (1979), 'La modelisation macroeconomique: une etude de la structure et de la dynamique des modcles macrooconomiques" Statistiques et etudes jinancieres, serie orange, (special issue). , A. Ravelli and F. , No 313. Rossier, E. (1979), Economie structurale, Economica, Paris.

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