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We discuss here the implications that arise for the fundamental duality relationships given by Roy's Identity (1943) and Shephard's Lemma (1953) when the underlying consumer choice problem is dynamic and involves uncertainty
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utility functions. Our main result is to show that in a multiagent economy, the problem of determining efficient allocations … extending to a stochastic environment Geoffard's (1996) concept of variational utility and his result that variational utility … is equivalent to recursive utility, and then using these results to characterize allocations in a multiagent setting …
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We consider discounted-utility models with a reference stream of outcomes. We provide a common framework for the main …
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