Scandinavian Working Papers in Economics
Memorandum,
Oslo University, Department of Economics
No 08/2015: Catastrophes and Expected Marginal Utility – How The Value Of The Last Fish In A Lake Is Infinity And Why We Shouldn't Care (Much)
Eric Nævdal ()
Additional contact information
Eric Nævdal: The Ragnar Frisch Centre for Economic Research, Postal: University of Oslo
Abstract: Catastrophic risk is currently a hotly debated topic. This paper contributes to this debate by showing two results. First it shown that the value function in dynamic optimization can have an infinite derivative at some point even if the model specification has functional forms that are finite and without infinite derivatives. In the process it is shown that standard phase diagrams used in optimal control theory contain more information than generally recognized. Second we show that even if the value function has an infinite derivative at some point, it is not correct that this point should be avoided in finite time at almost any cost. The results are illustrated in a simple linear-quadratic fisheries model, but proven for a more general class of growth functions.
Keywords: Catastrophic risk; fisheries; optimal control; shadow prices
23 pages, March 30, 2015
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memo-08-2015.pdf
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