Optimal investment and the ambiguous aggregation of expert opinions
How should a decision-maker assess the potential of an investment when a group of experts provides strongly divergent estimates on its expected payoff? To address this question, we propose and analyze a variant of the well-studied -maxmin model in decision theory. In our framework, and consistent to the paper's empirical focus on R&D investment, experts' subjective probability distributions are allowed to be action-dependent. In addition, the decision maker constrains the sets of priors to be considered in accordance with ethical considerations and/or operational protocols. Using tools from convex and conic optimization, we are able to establish a number of analytical results including a closed-form expression of our model's value function, a thorough investigation of its differentiability properties, and necessary conditions for optimal investment. We apply our framework to original data from a recent expert elicitation survey on solar technology. The analysis suggests that more aggressive investment in solar technology R&D is likely to yield significant dividends even, or rather especially, after taking ambiguity into account. Keywords: expert aggregation; ambiguity; -maxmin; second-order cone programming; renewable energy R&D
|Date of creation:||2012|
|Date of revision:|
|Contact details of provider:|| Postal: |
Web page: http://www.igier.unibocconi.it/
|Order Information:|| Web: http://www.igier.unibocconi.it/en/papers/index.htm Email: |
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Grant, Simon & Chateauneuf, A. & Eichberger, J., 2002.
"Choice under Uncertainty with the Best and Worst in Mind: Neo-additive Capacities,"
2002-10, Rice University, Department of Economics.
- Chateauneuf, Alain & Eichberger, Jurgen & Grant, Simon, 2007. "Choice under uncertainty with the best and worst in mind: Neo-additive capacities," Journal of Economic Theory, Elsevier, vol. 137(1), pages 538-567, November.
- Chateauneuf, Alain & Eichberger, Jürgen & Grant, Simon, 2003. "Choice under Uncertainty with the Best and Worst in Mind: Neo-additive Capacities," Sonderforschungsbereich 504 Publications 03-10, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
- Wojciech Olszewski, 2007. "Preferences Over Sets of Lotteries -super-1," Review of Economic Studies, Oxford University Press, vol. 74(2), pages 567-595.
- Popp, David, 2004. "ENTICE: endogenous technological change in the DICE model of global warming," Journal of Environmental Economics and Management, Elsevier, vol. 48(1), pages 742-768, July.
- Jurgen Eichberger & Simon Grant & David Kelsey & Gleb A. Koshevoy, 2009. "The a-MEU Model: A Comment," Discussion Papers 0903, Exeter University, Department of Economics.
- Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
When requesting a correction, please mention this item's handle: RePEc:igi:igierp:468. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ()
If references are entirely missing, you can add them using this form.