Ressource Allocation When Projects Have Ranges of Increasing Returns

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Serval ID
serval:BIB_C7F59BA2CB6E
Type
Unpublished: a document having an author and title, but not formally published.
Collection
Publications
Title
Ressource Allocation When Projects Have Ranges of Increasing Returns
Author(s)
Bobtcheff Catherine, Christian Gollier, Richard Zeckhauser
Issued date
2007
Notes
Cahier du LERNA 07.03.224. Submitted for publication
Abstract
We examine the problem of optimally allocating a fixed budget to a finite number of different investment projects whose returns are uncertain and depend on the budget allocated to each of them. The marginal productivity of capital in a project is first increasing then decreasing with the amount of capital invested in it. Such a shape is particularly prevalent when the output is a probability such as the chance of escaping infection or succeeding with a R&D project. When the total budget is below some lower cutoff value, the entire budget is invested in a single project. Above this cutoff, the share invested in a project can be discontinuous and non-monotone in the total budget. Above an upper cutoff budget, all projects receive more capital as the budget increases. If the projects are identical, each will get the same budget. Moreover, under some conditions, the aggregate benefit function also presents first increasing and then decreasing returns to scale as the amount invested increases.
Keywords
K3
Create date
19/11/2007 10:48
Last modification date
20/08/2019 15:43
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