29 Pages Posted: 25 Sep 2014 Last revised: 8 Nov 2014
Date Written: September 18, 2014
Under risk, Arrow-Debreu equilibria can be implemented as Radner equilibria by continuous trading of few long-lived securities. We show that this result generically fails if there is Knightian uncertainty in the volatility. Implementation is only possible if all discounted net trades of the equilibrium allocation are mean ambiguity-free.
Keywords: Knightian Uncertainty, Ambiguity, General Equilibrium, Asset Pricing, Radner Equilibrium
JEL Classification: D81, C61, G11
Suggested Citation: Suggested Citation
Riedel, Frank and Beissner, Patrick, Non-Implementability of Arrow-Debreu Equilibria by Continuous Trading under Knightian Uncertainty (September 18, 2014). Institute of Mathematical Economics Working Paper No. 527. Available at SSRN: https://ssrn.com/abstract=2500793 or http://dx.doi.org/10.2139/ssrn.2500793