TY - BOOK

T1 - Theory of natural exhaustible resources : the cartel-versus-fringe model reconsidered

AU - Groot, F.

AU - Withagen, C.A.A.M.

AU - Zeeuw, de, A.J.

PY - 1989

Y1 - 1989

N2 - In this paper the binding-contracte open-loop v~n Stackelberg equilibrium in the
cartel-vereus-fringe model of the eupply side of a market for a raw material from
an exhaustible natural resource is reconsidered.
It is shown that the equilibrium for this model differs from what the previoua
literature on this model (e.g. Ulph and Folie (1981), Newbery (1981) and Ulph
(1982)) suggests. The equilibrium is solved for by using optimal control techniques
and it turns out that the previous literature should be corrected in two respects.
Firstl,y, the marginal production costs for the cartel are not treated correctly and
secondly, the resulting equilibrium price path may not be continuous, as ia implicitly
assumed by previous authors. For some values oí the parameters the equilibrium
is still time-inconsistent and thia turns out to be so in almost the same cases as in
the previous literature.
The time-inconsistency is one reason to reject the open-loop von Stackelberg
equilibrium concept for this model. Another reason is that for plausible parameter
values the equilibrium price path turns out to be discontinuoue. Especially in
markets for raw materials such as crude oil, this will Iead to speculation. In that
case the assumption that the demand only depends on the current price level is not
valid anymore.

AB - In this paper the binding-contracte open-loop v~n Stackelberg equilibrium in the
cartel-vereus-fringe model of the eupply side of a market for a raw material from
an exhaustible natural resource is reconsidered.
It is shown that the equilibrium for this model differs from what the previoua
literature on this model (e.g. Ulph and Folie (1981), Newbery (1981) and Ulph
(1982)) suggests. The equilibrium is solved for by using optimal control techniques
and it turns out that the previous literature should be corrected in two respects.
Firstl,y, the marginal production costs for the cartel are not treated correctly and
secondly, the resulting equilibrium price path may not be continuous, as ia implicitly
assumed by previous authors. For some values oí the parameters the equilibrium
is still time-inconsistent and thia turns out to be so in almost the same cases as in
the previous literature.
The time-inconsistency is one reason to reject the open-loop von Stackelberg
equilibrium concept for this model. Another reason is that for plausible parameter
values the equilibrium price path turns out to be discontinuoue. Especially in
markets for raw materials such as crude oil, this will Iead to speculation. In that
case the assumption that the demand only depends on the current price level is not
valid anymore.

UR - https://pure.uvt.nl/portal/en/publications/theory-of-natural-exhaustible-resources(7090dd76-6edc-48cc-9e7d-72b659726b82).html

M3 - Report

T3 - Center Discussion Paper

BT - Theory of natural exhaustible resources : the cartel-versus-fringe model reconsidered

PB - Katholieke Universiteit Tilburg

CY - Tilburg

ER -