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Increasing Risk: Dynamic Mean-Preserving...
Arcand, Jean-Louis...
Increasing Risk: Dynamic Mean-Preserving Spreads by Arcand, Jean-Louis ( Author )
Australian National University
06-09-2023
We extend the celebrated Rothschild and Stiglitz (1970) definition of Mean-Preserving Spreads to a dynamic framework. We adapt the original integral conditions to transition probability densities, and give sufficient conditions for their satisfaction. We then prove that a specific nonlinear scalar diffusion process, super-diffusive ballistic noise, is the unique process that satisfies the integral conditions among a broad class of processes. This process can be generated by a random superposition of linear Markov processes with constant drifts. This exceptionally simple representation enables us to systematically revisit, by means of the properties of Dynamic Mean-Preserving Spreads, four workhorse economic models originally based on White Gaussian Noise.
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Article
pdf
29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/1412.1384
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