Global analysis and economics IIA: Extension of a theorem of Debreu

https://doi.org/10.1016/0304-4068(74)90031-7Get rights and content

First page preview

First page preview
Click to open first page preview

References (6)

There are more references available in the full text version of this article.

Cited by (75)

  • Endowment-regarding preferences

    2021, Journal of Mathematical Economics
  • General consumption constraints and regular economies

    2008, Journal of Mathematical Economics
    Citation Excerpt :

    In the first works about regularity, the demand or excess demand functions are smooth everywhere. But, several extensions have been done to encompass various sorts of constraints, Smale (1974a, b), Mas-Colell (1985), Balasko et al. (1990), Cass (1990),Villanacci (1993), Polemarchakis and Siconolfi (1997), Cass et al. (2001), Villanacci and Zenginobuz (2005), Bonnisseau and Rivera Cayupi (2006), among others, which means that the demand functions exhibit non-differentiability since nothing prevents the equilibrium allocations to be on the boundary of the consumption sets. To prove generic differentiability and regularity results, we follow the strategy laid out in Cass et al. (2001), in which a general method for encompassing individual portfolio constraints while still permitting differential techniques is given.

  • Existence of competitive equilibria with externalities: A differential viewpoint

    2006, Journal of Mathematical Economics
    Citation Excerpt :

    The following theorem is the main result of the paper. Following the seminal work by Smale (1974), we use homotopy arguments (Theorem 7) to prove the above theorem. Theorem 7 is a consequence of the homotopy invariance of topological degree, a well-known result in degree theory.

View all citing articles on Scopus
View full text