1. Existence of equilibria in exhaustible resource markets with economies of scale and inventories
- Author
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Lucas Bretschger, Antoine Bommier, François Le Grand, and emlyon business school
- Subjects
Rohstoffwirtschaft ,Economics ,Resource storage ,jel:D41 ,Exhaustible resources ,nonconvex extraction cost ,equilibrium existence ,resource storage ,jel:C62 ,D92 ,Resource (project management) ,Rohstoffpreis ,Nonconvex extraction cost ,0502 economics and business ,Econometrics ,ddc:330 ,050207 economics ,Erschöpfbare Ressourcen ,Non-renewable resource ,Consumption (economics) ,Q30 ,jel:D92 ,Rohstoffvorkommen ,05 social sciences ,Equilibrium existence ,Non-convex extraction cost ,Skalenertrag ,Allgemeines Gleichgewicht ,[SHS.ECO]Humanities and Social Sciences/Economics and Finance ,Natural resource ,Economies of scale ,C62 ,Kosten ,Path (graph theory) ,jel:Q30 ,[SHS.GESTION]Humanities and Social Sciences/Business administration ,050202 agricultural economics & policy ,Constant (mathematics) ,D41 ,Theorie ,Exhaustible resources, nonconvex extraction cost, equilibrium existence, resource storage - Abstract
The paper proves the existence of equilibrium in nonrenewable resource markets when extraction costs are non-convex and resource storage is possible. Inventories flatten the consumption path and eliminate price jumps at the end of the extraction period. Market equilibrium becomes then possible, contradicting previous claims from Eswaran, Lewis and Heaps (1983). We distinguish between two types of solutions, one with immediate and one with delayed build-up of inventories. For both cases we do not only characterize potential optimal paths but also show that equilibria actually exist under fairly general conditions. It is found that optimum resource extraction involves increasing quantities over a period of time. What is generally interpreted as an indicator of increasing resource abundance is thus perfectly compatible with constant resource stocks., Economics Working Paper Series, 14/203
- Published
- 2020