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Strong and Weak Rarity Value: Resource Games with Complex Price–Scarcity Relationships

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  • Reinoud Joosten

    (University of Twente)

Abstract

We analyze effects of rarity value on the sustainability of a natural resource. Rarity value means that under extreme scarcity of the resource unit profits increase ‘explosively.’ We focus on equilibrium behavior of very patient agents in a Small Fish War. Agents interacting on a body of water have two options: they can fish with restraint or without. Fishing with restraint allows the fish stock to recover; fishing without yields higher immediate but lower future catches. We distinguish weak and strong rarity value; for the strong (weak) variant, total symmetric Pareto-efficient rewards are higher (lower) than those obtained by keeping the price fixed at highest-resource-stock level. Only for strong rarity value, the price effect more than compensates for smaller sustainable catches. Pareto-efficient equilibrium behavior dictates that lowest sustainable stocks are targeted.

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  • Reinoud Joosten, 2016. "Strong and Weak Rarity Value: Resource Games with Complex Price–Scarcity Relationships," Dynamic Games and Applications, Springer, vol. 6(1), pages 97-111, March.
    • Handle: RePEc:spr:dyngam:v:6:y:2016:i:1:d:10.1007_s13235-015-0136-4
    DOI: 10.1007/s13235-015-0136-4
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    References listed on IDEAS

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    1. Reinoud Joosten & Thomas Brenner & Ulrich Witt, 2003. "Games with frequency-dependent stage payoffs," International Journal of Game Theory, Springer;Game Theory Society, vol. 31(4), pages 609-620, September.
    2. Alain Haurie & Jacek B Krawczyk & Georges Zaccour, 2012. "Games and Dynamic Games," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 8442, February.
    3. H. Leibenstein, 1950. "Bandwagon, Snob, and Veblen Effects in the Theory of Consumers' Demand," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 64(2), pages 183-207.
    4. Sumaila, Ussif Rashid, 1999. "A review of game-theoretic models of fishing," Marine Policy, Elsevier, vol. 23(1), pages 1-10, January.
    5. David Levhari & Leonard J. Mirman, 1980. "The Great Fish War: An Example Using a Dynamic Cournot-Nash Solution," Bell Journal of Economics, The RAND Corporation, vol. 11(1), pages 322-334, Spring.
    6. BenDor, Todd & Scheffran, Jürgen & Hannon, Bruce, 2009. "Ecological and economic sustainability in fishery management: A multi-agent model for understanding competition and cooperation," Ecological Economics, Elsevier, vol. 68(4), pages 1061-1073, February.
    7. H. Scott Gordon, 1954. "The Economic Theory of a Common-Property Resource: The Fishery," Journal of Political Economy, University of Chicago Press, vol. 62(2), pages 124-124.
    8. Maroto, Jose M. & Moran, Manuel, 2008. "Increasing marginal returns and the danger of collapse of commercially valuable fish stocks," Ecological Economics, Elsevier, vol. 68(1-2), pages 422-428, December.
    9. Bulte, Erwin H., 2003. "Open access harvesting of wildlife: the poaching pit and conservation of endangered species," Agricultural Economics, Blackwell, vol. 28(1), pages 27-37, January.
    10. Reinoud Joosten, 2007. "Small Fish Wars: A New Class of Dynamic Fishery-Management Games," The IUP Journal of Managerial Economics, IUP Publications, vol. 0(4), pages 17-30, November.
    11. H. Scott Gordon, 1954. "The Economic Theory of a Common-Property Resource: The Fishery," Palgrave Macmillan Books, in: Chennat Gopalakrishnan (ed.), Classic Papers in Natural Resource Economics, chapter 9, pages 178-203, Palgrave Macmillan.
    12. Sergiu Hart, 1985. "Nonzero-Sum Two-Person Repeated Games with Incomplete Information," Mathematics of Operations Research, INFORMS, vol. 10(1), pages 117-153, February.
    13. AMIR, Rabah, 2001. "Stochastic games in economics and related fields: an overview," LIDAM Discussion Papers CORE 2001060, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    14. Ehtamo, Harri & Hamalainen, Raimo P., 1993. "A cooperative incentive equilibrium for a resource management problem," Journal of Economic Dynamics and Control, Elsevier, vol. 17(4), pages 659-678, July.
    15. Doring, Ralf & Egelkraut, Thorsten M., 2008. "Investing in natural capital as management strategy in fisheries: The case of the Baltic Sea cod fishery," Ecological Economics, Elsevier, vol. 64(3), pages 634-642, January.
    16. Sanchirico, James N. & Smith, Martin D. & Lipton, Douglas W., 2008. "An empirical approach to ecosystem-based fishery management," Ecological Economics, Elsevier, vol. 64(3), pages 586-596, January.
    17. Trond Bjorndal & Jon M. Conrad, 1987. "The Dynamics of an Open Access Fishery," Canadian Journal of Economics, Canadian Economics Association, vol. 20(1), pages 74-85, February.
    18. Kim, Tae Goun & Grigalunas, Thomas A. & Han, Kyung-Nam, 2008. "The economic costs to fisheries because of marine sand mining in Ongjin Korea: Concepts, methods, and illustrative results," Ecological Economics, Elsevier, vol. 65(3), pages 498-507, April.
    19. Trond Bjørndal & Jon M. Conrad & Kjell G. Salvanes, 1993. "Stock Size, Harvesting Costs, and the Potential for Extinction: The Case of Sealing," Land Economics, University of Wisconsin Press, vol. 69(2), pages 156-167.
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