Complete monotonicity of the representative consumer's discount factor

Chiaki Hara ()

Journal of Mathematical Economics, 2008, vol. 44, issue 12, 1321-1331

Abstract: A univariate real-valued function is said to be completely monotone if it takes positive values and alternate the signs of its higher order derivatives, starting from everywhere negative first derivatives. We prove that the representative consumer's discount factor of a continuous-time economy under uncertainty is a power function of some completely monotone function of time satisfying certain boundary conditions if and only if it may be derived from a group of consumers having constant and equal relative risk aversion, and constant and yet possibly unequal discount rates.

Keywords: Complete; monotonicity; Discount; factor; Discount; rate; Representative; consumer; Expected; utility; Time; additivity; Relative; risk; aversion; Bernstein's; theorem (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (6)

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Related works:
Working Paper: Complete Monotonicity of the Representative Consumer's Discount Factor (2008)
Working Paper: Complete Monotonicity of the Representative Consumer's Discount Factor (2007)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:44:y:2008:i:12:p:1321-1331

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