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On Price Taking Behaviour in a Non-renewable Resource Cartel-Fringe Game

  • Hassan Benchekroun
  • Cees Withagen

We consider a nonrenewable resource game with one cartel and a set of fringe members. We show that (i) the outcomes of the closed-loop and the open-loop nonrenewable resource game with the fringe members as price takers (the cartel- fringe game à la Salant 1976) coincide and (ii) when the number of fringe firms be- comes arbitrarily large, the equilibrium outcome of the closed-loop Nash game does not coincide with the equilibrium outcome of the closed-loop cartel-fringe game. Thus, the outcome of the cartel-fringe open-loop equilibrium can be supported as an outcome of a subgame perfect equilibrium. However the interpretation of the cartel-fringe model, where from the outset the fringe is assumed to be price-taker, as a limit case of an asymmetric oligopoly with the agents playing Nash-Cournot, does not extend to the case where firms can use closed-loop strategies.

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Paper provided by Oxford Centre for the Analysis of Resource Rich Economies, University of Oxford in its series OxCarre Working Papers with number 080.

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Date of creation: 2012
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Handle: RePEc:oxf:oxcrwp:080
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  12. Frederick Van der Ploeg & Cees A. Withagen, 2010. "Is There Really a Green Paradox?," CESifo Working Paper Series 2963, CESifo Group Munich.
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  27. Reinganum, Jennifer F & Stokey, Nancy L, 1985. "Oligopoly Extraction of a Common Property Natural Resource: The Importance of the Period of Commitment in Dynamic Games," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(1), pages 161-73, February.
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