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Coherency Conditions In Simultaneous Linear Equation Models With Endogenous Switching Regimes

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  • C. Gourieroux
  • Jean-Jacques Laffont
  • A. Monfort

Abstract

In modeling disequilibrium macroeconomic systems which one would want to subject to econometric estimation one typically faces the problem of whether the structural model can determine a unique equilibrium. The problem inherits a special form because the regimes in which the equilibria can lie are each linear. By placing restrictions on the parameters that insure the uniqueness of such a solution for each value of the exogenous and random variables, we can improve the estimation procedure. This paper provides necessary and sufficient conditions for uniqueness -- or "coherency." These conditions are applied to a variety of models that have been prominent in the literature on econometrics with 'switching regimes' such as those of self-selectivity (Maddala), simultaneous equation tobit and probit (Amemiya, Schmidt) and multi-market macroeconomic disequilibrium (Gourieroux, Laffont and Nonfort).

Suggested Citation

  • C. Gourieroux & Jean-Jacques Laffont & A. Monfort, 1979. "Coherency Conditions In Simultaneous Linear Equation Models With Endogenous Switching Regimes," NBER Working Papers 0343, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:0343
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    1. Martin, Christopher & Portes, Richard, 1990. " Effective Demand and Spillovers," Scandinavian Journal of Economics, Wiley Blackwell, vol. 92(1), pages 109-120.
    2. Amemiya, Takeshi, 1974. "Multivariate Regression and Simultaneous Equation Models when the Dependent Variables Are Truncated Normal," Econometrica, Econometric Society, vol. 42(6), pages 999-1012, November.
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