Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-05T00:46:05.539Z Has data issue: false hasContentIssue false

Growth and long-run sustainability

Published online by Cambridge University Press:  08 January 2021

Robert D. Cairns
Affiliation:
Department of Economics, McGill University, Montreal, H3A 0E6 Quebec, Canada
Vincent Martinet*
Affiliation:
Université Paris-Saclay, INRAE, AgroParisTech, Economie Publique, Thiverval-Grignon, 78850, France ENS Paris-Saclay, Gif-sur-Yvette, France
*
*Corresponding author. E-mail: [email protected]

Abstract

From any state of economic and environmental assets, the maximin value defines the highest level of utility that can be sustained forever. Along any development path, the maximin value evolves over time according to investment decisions. If the current level of utility is lower than this value, there is room for growth of both the utility level and the maximin value. For any resource allocation mechanism (ram) and economic dynamics, growth is limited by the long-run level of the maximin value, which is an endogenous dynamic sustainability constraint. If utility reaches this limit, sustainability imposes growth to stop, and the adoption of maximin decisions instead of the current ram. We illustrate this pattern in two canonical models, the simple fishery and a two-sector economy with a nonrenewable resource. We discuss what our results imply for the assessment of sustainability in the short and the long run in non-optimal economies.

Type
Research Article
Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Arrow, K, Dasgupta, P and Mäler, KG (2003) Evaluating projects and assessing sustainable development in imperfect economies. Environmental and Resource Economics 26, 647685.CrossRefGoogle Scholar
Asheim, G (1988) Rawlsian intergenrational justice as a Markov-perfect equilibrium in a resource technology. Review of Economic Studies 55, 469484.CrossRefGoogle Scholar
Asheim, G (1994) Net national product as an indicator of sustainability. Scandinavian Journal of Economics 96, 257265.CrossRefGoogle Scholar
Asheim, G (2000) Green national accounting: why and how? Environment and Development Economics 5, 2548.CrossRefGoogle Scholar
Asheim, G (2003) Green national accounting for welfare and sustainability: a taxonomy of assumptions and results. Scottish Journal of Political Economy 50, 113130.CrossRefGoogle Scholar
Asheim, G (2007) Can NNP be used for welfare comparisons? Environment and Development Economics 12, 1131.CrossRefGoogle Scholar
Asheim, G (2011) Comparing the welfare of growing economies. Revue d'Economie Politique 121, 5972.CrossRefGoogle Scholar
Asheim, G and Buchholz, W (2004) A general approach to welfare measurement through national income accounting. Scandinavian Journal of Economics 106, 361384.CrossRefGoogle Scholar
Asheim, G and Mitra, T (2010) Sustainability and discounted utilitarianism in models of economic growth. Mathematical Social Sciences 59, 148169.CrossRefGoogle Scholar
Asheim, G and Weitzman, M (2001) Does NNP growth indicate welfare improvement? Economics Letters 73, 233239.CrossRefGoogle Scholar
Asheim, G, Buchholz, W and Tungodden, B (2001) Justifying sustainability. Journal of Environmental Economics and Management 41, 252268.CrossRefGoogle Scholar
Asheim, G, Buchholz, W, Hartwick, J, Mitra, T and Withagen, C (2007) Constant savings rates and quasi-arithmetic population growth under exhaustible resource constraints. Journal of Environmental Economics and Management 53, 213229.CrossRefGoogle Scholar
Asheim, G, Mitra, T, Buchholz, W and Withagen, C (2013) Characterizing the sustainability problem in an exhaustible resource model. Journal of Economic Theory 148, 21642182.Google Scholar
Burmeister, E and Hammond, P (1977) Maximin paths of heterogeneous capital accumulation and the instability of paradoxical steady states. Econometrica 45, 853870.CrossRefGoogle Scholar
Cairns, R and Long, NV (2006) Maximin: a direct approach to sustainability. Environment and Development Economics 11, 275300.CrossRefGoogle Scholar
Cairns, R and Martinet, V (2014) An environmental-economic measure of sustainable development. European Economic Review 69, 417.CrossRefGoogle Scholar
Cairns, R, del Campo, S and Martinet, V (2019) Sustainability of an economy relying on two reproducible assets. Journal of Economic Dynamics and Control 101, 145160.CrossRefGoogle Scholar
Chichilnisky, G (1996) An axiomatic approach to sustainable development. Social Choice and Welfare 13, 231257.CrossRefGoogle Scholar
Chichilnisky, G, Heal, G and Beltratti, A (1995) The green golden rule. Economics Letters 49, 175179.CrossRefGoogle Scholar
Dasgupta, P and Heal, G (1974) The optimal depletion of exhaustible resources. Review of Economic Studies 41, 328.CrossRefGoogle Scholar
Dasgupta, P and Heal, G (1979) The Economics of Exhaustible Resources. Cambridge: Nisbet.Google Scholar
Dasgupta, P and Mäler, KG (2000) Net National Product, Wealth and Social Well Being. Environment and Development Economics 5, 6994.CrossRefGoogle Scholar
D'Autume, A and Schubert, K (2008) Zero discounting and optimal paths of depletion of an exhaustible resource with an amenity value. Revue d'Economie Politique 119, 827845.CrossRefGoogle Scholar
Doyen, L and Martinet, V (2012) Maximin, viability and sustainability. Journal of Economic Dynamics and Control 36, 14141430.CrossRefGoogle Scholar
Fleurbaey, M (2015) On sustainability and social welfare. Journal of Environmental Economics and Management 71, 3453.CrossRefGoogle Scholar
Frank, R and Hutchens, R (1993) Wages, seniority, and the demand for rising consumption profiles. Journal of Economic Behavior & Organization 21, 251276.CrossRefGoogle Scholar
Gerlagh, R (2017) Generous sustainability. Ecological Economics 136, 94100.CrossRefGoogle Scholar
Hamilton, K and Withagen, C (2007) Savings growth and the path of utility. Canadian Journal of Economics 40, 703713.CrossRefGoogle Scholar
Hannesson, R and Steinshamn, SI (1991) How to set catch quotas: constant effort or constant catch? Journal of Environmental Economics and Management 20, 7191.CrossRefGoogle Scholar
Hartwick, J (1977) Intergenerational equity and the investing of rents from exhaustible resources. American Economic Review 67, 972974.Google Scholar
Llavador, H, Roemer, J and Silvestre, J (2011), A dynamic analysis of human welfare in a warming planet. Journal of Public Economics 95, 16071620.CrossRefGoogle Scholar
Lowenstein, G and Sicherman, N (1991) Do workers prefer increasing wage profiles? Journal of Labor Economics 9, 6784.CrossRefGoogle Scholar
Martinet, N (2007) A step beside the maximin path: can we sustain the economy by following Hartwick's investment rule? Ecological Economics 64, 103108.CrossRefGoogle Scholar
Martinet, V and Rotillon, G (2007) Invariance in growth theory and sustainable development. Journal of Economic Dynamics and Control 31, 28272846.CrossRefGoogle Scholar
Martinet, V, Peñ a-Torres, J, De Lara, M and Ramírez, H (2016) Risk and sustainability: assessing fishery management strategies. Environmental and Resource Economics 64, 683707.CrossRefGoogle Scholar
Onuma, A (1999) Sustainable consumption, sustainable development, and green net national product. Environmental Economics and Policy Studies 2, 187197.CrossRefGoogle Scholar
Pezzey, J (1994) Theoretical Essays on Sustainability and Environmental Policy (PhD thesis). University of Bristol, 274 pages.Google Scholar
Pezzey, J (1997) Sustainability constraints versus ‘optimality’ versus intertemporal concern and axioms vs. data. Land Economics 73, 448466.CrossRefGoogle Scholar
Pezzey, J (2004) Exact measures of income in a hyperbolic economy. Environment and Development Economics 9, 473484.CrossRefGoogle Scholar
Quiggin, J (1992) How to set catch quotas: a note on the superiority of constant effort rules. Journal of Environmental Economics and Management 22, 199203.CrossRefGoogle Scholar
Ramsey, F (1928) A mathematical theory of saving. Economic Journal 38, 543559.CrossRefGoogle Scholar
Rawls, J (1971) A Theory of Justice. Cambridge, MA: Harvard University Press.Google Scholar
Singh, R, Weninger, Q and Doyle, M (2006) Fisheries management with stock uncertainty and costly capital adjustment. Journal of Environmental Economics and Management 52, 582599.CrossRefGoogle Scholar
Solow, R (1974) Intergenerational equity and exhaustible resources. Review of Economic Studies 41, 2945.CrossRefGoogle Scholar
Solow, R (1993) An Almost practical step toward sustainability. Resources Policy 19, 162172.CrossRefGoogle Scholar
Stiglitz, J (1974) Growth with exhaustible natural resources: efficient and optimal growth paths. Review of Economic Studies 41, 123137.CrossRefGoogle Scholar
World Bank (2011) The Changing Wealth of Nations: Measuring Sustainable Development in the New Millennium. Washington, DC: The World Bank.Google Scholar
Zuber, S and Asheim, G (2012) Justifying social discounting: the rank-discounted utilitarian approach. Journal of Economic Theory 147, 15721601.CrossRefGoogle Scholar