A feature of new economic geography model is their mathematical intractability. This intractability results from the fact that the functional relationship between the indirect utility differential and the state variable cannot be found explicitly. We illustrate three methods that can be utilized to approximate the unknown function. These methods are simple and give a remarkable improvement in the precision of approximation with respect to the commonly utilized Lagrange approximation. Precision of approximation is important in models that feature catastrophic behavior. We apply these methods to the core-periphery model. Naturally, they can be applied to all cases of unknown functional relationships.

Approximation methods: an application to the core-periphery model

MAFFEZZOLI, MARCO;
2002

Abstract

A feature of new economic geography model is their mathematical intractability. This intractability results from the fact that the functional relationship between the indirect utility differential and the state variable cannot be found explicitly. We illustrate three methods that can be utilized to approximate the unknown function. These methods are simple and give a remarkable improvement in the precision of approximation with respect to the commonly utilized Lagrange approximation. Precision of approximation is important in models that feature catastrophic behavior. We apply these methods to the core-periphery model. Naturally, they can be applied to all cases of unknown functional relationships.
Maffezzoli, Marco; Trionfetti, F.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11565/54869
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact