2011
DOI: 10.1007/s10614-010-9249-4
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A Closed-Form Solution to Stollery’s Problem with Damage in Utility

Abstract: Stollery (Can J Econ 31 (3): [730][731][732][733][734][735][736][737][738][739][740][741][742] 1998) studied a polluting oil-extracting economy governed by a constant utility criterion. The pollution, resulted from oil use, negatively affected production and utility. Stollery provided a closed-form solution for the case where only the production function was affected by the damage. This paper offers a closed-form solution to a non-trivial example of this economy with damage in the utility function. The solutio… Show more

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Cited by 6 publications
(5 citation statements)
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“…It is worthwhile to note that the influence of D on U is presumed in our study. The assumption of damage on an individual's utility is commonly seen in literature on the environment and resource (See, Bazhanov, 2012 ). Differently, the influence of COVID-19 deaths, D , on work time t is derived from the Roy's inequalities obtained using the first-order conditions for the representative individual's utility function.…”
Section: Modelmentioning
confidence: 99%
“…It is worthwhile to note that the influence of D on U is presumed in our study. The assumption of damage on an individual's utility is commonly seen in literature on the environment and resource (See, Bazhanov, 2012 ). Differently, the influence of COVID-19 deaths, D , on work time t is derived from the Roy's inequalities obtained using the first-order conditions for the representative individual's utility function.…”
Section: Modelmentioning
confidence: 99%
“…The theory (e.g. Stollery, 1998;Bazhanov, 2012) suggests that negative side effects from resource use call for further redistribution of extraction from the present to future.…”
Section: Sustainable Extraction and Climate Changementioning
confidence: 99%
“…Condition (9) shows that, for , 0 < Ψ U the minimum investment G that provides nondeclining utility may be essentially higher than zero. The next section illustrates that a feasible value of , G guaranteeing , 0 ≥ U  may not exist.…”
Section: The Boundedness Of Investments Implies That Ifmentioning
confidence: 99%
“…A particular goal is to show that, under large inefficiencies, 9 increasing investments in man-made or human capital may not help to restore sustainability and even may be harmful, e. g., to poor countries. 12 To illustrate the claims of this study, it is enough to assume that the components of D depend on the extracted amount ) (t X (or on the remaining stock ) (t S ) 13 or on the parameters that express distorted institutions.…”
mentioning
confidence: 99%