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Viability standards and multi-criteria maximin

Author

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  • Pedro Gajardo
  • Luc Doyen

Abstract

This paper deals with sustainability criteria and standards. The maximin cri-terion, as the highest performance that can be sustained over time, promotes intergenerational equity, a pivotal issue for sustainability. The viable control approach, by investigating trajectories and actions complying over time with various standards and constraints, provides major insights into strong sustain-ability. The present paper addresses the links between maximin and viability approaches in a multi-criteria context. It first shows how ‘Pareto maximin’ can be characterized through viability kernels. Such a result makes it possible to determine the trade-offs and/or synergies between non-substitutable economic and ecological standards underlying strong sustainability. The second main re-sult of the paper is to propose algorithms derived from the viability version of dynamic programming to approximate numerically Pareto maximin values, con-trols and sustainable standards. Two examples relying on renewable resource management illustrate these analytic and numerical findings.

Suggested Citation

  • Pedro Gajardo & Luc Doyen, 2018. "Viability standards and multi-criteria maximin," Cahiers du GREThA 2018-04, Groupe de Recherche en Economie Théorique et Appliquée(GREThA).
  • Handle: RePEc:grt:wpegrt:2018-04
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    File URL: http://cahiersdugretha.u-bordeaux4.fr/2018/2018-04.pdf
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    References listed on IDEAS

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    1. Martinet, Vincent, 2011. "A characterization of sustainability with indicators," Journal of Environmental Economics and Management, Elsevier, vol. 61(2), pages 183-197, March.
    2. Doyen, L. & Martinet, V., 2012. "Maximin, viability and sustainability," Journal of Economic Dynamics and Control, Elsevier, vol. 36(9), pages 1414-1430.
    3. Richard B. Howarth, 1995. "Sustainability under Uncertainty: A Deontological Approach," Land Economics, University of Wisconsin Press, vol. 71(4), pages 417-427.
    4. Martinet, V. & Doyen, L., 2007. "Sustainability of an economy with an exhaustible resource: A viable control approach," Resource and Energy Economics, Elsevier, vol. 29(1), pages 17-39, January.
    5. Péreau, J.-C. & Doyen, L. & Little, L.R. & Thébaud, O., 2012. "The triple bottom line: Meeting ecological, economic and social goals with individual transferable quotas," Journal of Environmental Economics and Management, Elsevier, vol. 63(3), pages 419-434.
    6. Vincent Martinet & Pedro Gajardo & Michel De Lara & Héctor Ramírez Cabrera, 2011. "Bargaining with intertemporal maximin payoffs," EconomiX Working Papers 2011-7, University of Paris Nanterre, EconomiX.
    7. Jacek Krawczyk & Alastair Pharo & Oana Serea & Stewart Sinclair, 2013. "Computation of viability kernels: a case study of by-catch fisheries," Computational Management Science, Springer, vol. 10(4), pages 365-396, December.
    8. L. Doyen & A. Cissé & S. Gourguet & L. Mouysset & P.-Y. Hardy & C. Béné & F. Blanchard & F. Jiguet & J.-C. Pereau & O. Thébaud, 2013. "Ecological-economic modelling for the sustainable management of biodiversity," Computational Management Science, Springer, vol. 10(4), pages 353-364, December.
    9. Cissé, A.A. & Gourguet, S. & Doyen, L. & Blanchard, F. & Péreau, J.-C., 2013. "A bio-economic model for the ecosystem-based management of the coastal fishery in French Guiana," Environment and Development Economics, Cambridge University Press, vol. 18(03), pages 245-269, June.
    10. Graciela Chichilnisky, 1996. "An axiomatic approach to sustainable development," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(2), pages 231-257, April.
    11. Noël Bonneuil & Raouf Boucekkine, 2014. "Viable Ramsey economies," Canadian Journal of Economics, Canadian Economics Association, vol. 47(2), pages 422-441, May.
    12. R. M. Solow, 1974. "Intergenerational Equity and Exhaustible Resources," Review of Economic Studies, Oxford University Press, vol. 41(5), pages 29-45.
    13. Fleurbaey, Marc, 2015. "On sustainability and social welfare," Journal of Environmental Economics and Management, Elsevier, vol. 71(C), pages 34-53.
    14. Schuhbauer, Anna & Sumaila, U. Rashid, 2016. "Economic viability and small-scale fisheries — A review," Ecological Economics, Elsevier, vol. 124(C), pages 69-75.
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