scholarly journals Exhaustible Resources and Classical Theory

OEconomia ◽  
2020 ◽  
pp. 419-446
Author(s):  
Christian Bidard ◽  
Guido Erreygers
1982 ◽  
Vol 1 (4) ◽  
pp. 287-307
Author(s):  
Christian Fayat

It is shown in this paper that the price of an exhaustible resource in an economy of pure competition is not equal to the marginal cost of production and that, in this respect, the classical theory is the ‘worst possible case’ were the resources considered to be inexhaustible. The price of an almost depleted resource is shown to be equal to the marginal cost of production when the resource is exhausted, and on the other hand, its level depends on three factors: (a) the present cost of a substitute; (b) the life expectancy of the resource remaining; (c) the rates of interest on the international capital market. We have calculated from a coherent data assemblage the ‘right’ price for oil in the context of the theory, as it appeared prior to the 1973 crisis. This may be seen to have approximated the actual price ($2/bbl.). This is the optimal theoretical price produced using the pure competition of world resources. The technical, historical and strategical reasons behind this noteworthy convergence are given, reasons which establish scientifically the crisis as an ‘impasse’ in an outdated strategy which had become unable to adapt to new production characteristics. However, the theory of exhaustible resources shows that, even in an economy of pure competition, there is a natural revenue which cannot be considered systematically to be a revenue of a monopolistic nature, or even be judged in regard to the conclusion of the classical theory of pure and perfect competition.


2013 ◽  
Author(s):  
Liu-Qin Yang ◽  
Robert R. Wright ◽  
Liu-Qin Yang ◽  
Lisa M. Kath ◽  
Michael T. Ford ◽  
...  

Author(s):  
Brian Street

This chapter discusses a case for single-parameter singular integral operators, where ρ‎ is the usual distance on ℝn. There, we obtain the most classical theory of singular integrals, which is useful for studying elliptic partial differential operators. The chapter defines singular integral operators in three equivalent ways. This trichotomy can be seen three times, in increasing generality: Theorems 1.1.23, 1.1.26, and 1.2.10. This trichotomy is developed even when the operators are not translation invariant (many authors discuss such ideas only for translation invariant, or nearly translation invariant operators). It also presents these ideas in a slightly different way than is usual, which helps to motivate later results and definitions.


2010 ◽  
Author(s):  
Christopher J. Harris ◽  
Sam Howison ◽  
Ronnie Sircar

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