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Radner equilibria under ambiguous volatility

  • Patrick Beißner

    ()

    (Center for Mathematical Economics, Bielefeld University)

The present paper considers a class of general equilibrium economics when the primitive uncertainty model features uncertainty about continuous-time volatility. This requires a set of mutually singular priors, which do not share the same null sets. For this setting we introduce an appropriate commodity space and the dual of linear and continuous price systems. All agents in the economy are heterogeneous in their preference for uncertainty. Each utility functional is a variational type. The existence of equilibrium is approached by a generalized excess utility fixed point argument. Such Arrow-Debreu allocations can be implemented into a Radner economy with continuous-time trading. Effective completeness of the market spaces alters to an endogenous property. Only mean unambiguous claims equivalently satisfying the classical martingale representation property build the marketed space.

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File URL: http://www.imw.uni-bielefeld.de/papers/files/imw-wp-493.pdf
File Function: First version, 2013
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Paper provided by Bielefeld University, Center for Mathematical Economics in its series Working Papers with number 493.

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Length: 48 pages
Date of creation: Dec 2013
Date of revision:
Handle: RePEc:bie:wpaper:493
Contact details of provider: Postal: Postfach 10 01 31, 33501 Bielefeld
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Web page: http://www.imw.uni-bielefeld.de/
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