The forward method as a solution refinement in rational expectations models

Seonghoon Cho, Antonio Moreno

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


This paper generalizes the standard forward method of recursive substitution to a general class of linear rational expectations models with potentially multiple fundamental solutions. It is shown that the existence and uniqueness of the well-known forward solution are preserved in a general context. We also propose a key property embedded in the forward solution - the no-bubble condition - as an economically sensible solution refinement in the class of fundamental solutions. In the literature, the no-bubble condition has been assumed to rule out non-fundamental bubble solutions. We show that the forward solution is the only rational expectations equilibrium satisfying the no-bubble condition and consequently, it is the most relevant fundamental solution within the class of fundamental equilibria. Several economic examples are provided where the fundamental solutions obtained by other solution methods and refined by other solution selection criteria violate the no-bubble condition.

Original languageEnglish
Pages (from-to)257-272
Number of pages16
JournalJournal of Economic Dynamics and Control
Issue number3
Publication statusPublished - 2011 Mar

All Science Journal Classification (ASJC) codes

  • Economics and Econometrics
  • Control and Optimization
  • Applied Mathematics


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