Real indeterminacy of general equilibrium under Knightian uncertainty

Wei Ma*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

This paper studies the real indeterminacy of equilibria under Knightian uncertainty for economies with incomplete markets of nominal assets. Noting that the preference represented by Knightian uncertainty is incomplete and it induces in a natural way a set of complete preferences, we set ourselves the task of inquiring the relationship between an equilibrium under Knightian uncertainty and its counterpart under the induced complete preferences. It is shown that they are actually equivalent. By means of that equivalence, we show that the real indeterminacy of equilibria caused purely by Knightian uncertainty is the product of the number of agents and the number of assets marketed.

Original languageEnglish
Pages (from-to)106-111
Number of pages6
JournalJournal of Mathematical Economics
Volume79
DOIs
Publication statusPublished - Dec 2018

Keywords

  • General equilibrium
  • Indeterminacy
  • Knightian uncertainty

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