Equilibria under Knightian Price Uncertainty

Beißner P, Riedel F (2018) Center for Mathematical Economics Working Papers; 597.
Bielefeld: Center for Mathematical Economics.

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Abstract / Bemerkung
We study economies in which agents face Knightian uncertainty about state prices. Knightian uncertainty leads naturally to nonlinear expectations. We introduce a corresponding equilibrium concept with sublinear prices and prove that equilibria exist under weak conditions. In general, such equilibria lead to Pareto inefficient allocations; the equilibria coincide with Arrow-Debreu equilibria only if the values of net trades are ambiguity-free in the mean. In economies without aggregate uncertainty, inefficiencies are generic. We introduce a constrained efficiency concept, uncertainty-neutral efficiency; equilibrium allocations under price uncertainty are efficient in this constrained sense. Arrow-Debreu equilibria turn out to be non-robust with respect to the introduction of Knightian uncertainty.
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597
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28
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Beißner P, Riedel F. Equilibria under Knightian Price Uncertainty . Center for Mathematical Economics Working Papers. Vol 597. Bielefeld: Center for Mathematical Economics; 2018.
Beißner, P., & Riedel, F. (2018). Equilibria under Knightian Price Uncertainty (Center for Mathematical Economics Working Papers, 597). Bielefeld: Center for Mathematical Economics.
Beißner, P., and Riedel, F. (2018). Equilibria under Knightian Price Uncertainty . Center for Mathematical Economics Working Papers, 597, Bielefeld: Center for Mathematical Economics.
Beißner, P., & Riedel, F., 2018. Equilibria under Knightian Price Uncertainty , Center for Mathematical Economics Working Papers, no.597, Bielefeld: Center for Mathematical Economics.
P. Beißner and F. Riedel, Equilibria under Knightian Price Uncertainty , Center for Mathematical Economics Working Papers, vol. 597, Bielefeld: Center for Mathematical Economics, 2018.
Beißner, P., Riedel, F.: Equilibria under Knightian Price Uncertainty . Center for Mathematical Economics Working Papers, 597. Center for Mathematical Economics, Bielefeld (2018).
Beißner, Patrick, and Riedel, Frank. Equilibria under Knightian Price Uncertainty . Bielefeld: Center for Mathematical Economics, 2018. Center for Mathematical Economics Working Papers. 597.
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