D. Acemoglu, P. Aghion, L. Bursztyn, and D. Hemous, The environment and directed technical change, American Economic Review, vol.102, issue.1, pp.131-66, 2012.
DOI : 10.2139/ssrn.1668575

URL : http://www.nber.org/papers/w15451.pdf

S. H. Ali, D. Giurco, N. Arndt, E. Nickless, G. Brown et al., Mineral supply for sustainable development requires resource governance, Nature, vol.543, issue.7645, p.1, 2017.

S. Ambec and C. Crampes, Decarbonizing electricity generation with intermittent sources of energy. Toulouse School of Economics Working Paper n, 2015.

J. Amigues, A. Ayong-le-kama, and M. Moreaux, Equilibrium transitions from non-renewable energy to renewable energy under capacity constraints, Journal of Economic Dynamics and Control, vol.55, issue.1, pp.89-112, 2015.
DOI : 10.1016/j.jedc.2015.04.001

URL : https://hal.archives-ouvertes.fr/hal-01385978

J. Amigues, P. Favard, G. Gaudet, and M. Moreaux, On the optimal order of natural resource use when the capacity of the inexhaustible substitute is limited, Journal of Economic Theory, vol.80, issue.1, pp.153-170, 1998.

D. L. Arrobas, J. Ningthoujam, M. S. Mccormick, J. R. Drexhage, and K. L. Hund, The growing role of minerals and metals for a low carbon future, 2017.

B. S. Ba and P. Mahenc, Is recycling a threat or an opportunity for the extractor of an exhaustible resource?, Environmental and Resource Economics, issue.1, pp.1-26, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01905045

R. Boucekkine, F. El-ouardighi, H. Dawid, K. F. Doerner, G. Feichtinger et al., Optimal growth with polluting waste and recycling, Dynamic Perspectives on Managerial Decision Making: Essays in Honor of Richard F, 2016.
DOI : 10.1007/978-3-319-39120-5_7

URL : https://hal.archives-ouvertes.fr/halshs-01126636

. Hartl, Dynamic Modeling and Econometrics in Economics and Finance, pp.109-126

U. Chakravorty and D. L. Krulce, Heterogeneous demand and order of resource extraction, Econometrica, vol.62, issue.6, p.4, 1994.

U. Chakravorty, B. Magné, and M. Moreaux, A Hotelling model with a ceiling on the stock of pollution, Journal of Economic Dynamics and Control, vol.30, issue.12, pp.2875-2904, 2006.

P. Dasgupta, R. J. Gilbert, and J. E. Stiglitz, Invention and innovation under alternative market structures: The case of natural resources, The Review of Economic Studies, vol.49, issue.4, pp.567-582, 1982.

P. S. Dasgupta and G. M. Heal, Economic Theory and Exhaustible Resources, 1979.

J. De-beir, M. Fodha, and F. Magris, Life cycle of products and cycles, Macroeconomic Dynamics, vol.14, issue.2, pp.212-230, 2010.
URL : https://hal.archives-ouvertes.fr/halshs-00348862

D. Vita and G. , Technological change, growth and waste recycling, Energy Economics, vol.23, issue.5, pp.549-567, 2001.

D. Vita and G. , Exhaustible resources and secondary materials: A macroeconomic analysis, Ecological Economics, vol.63, issue.1, pp.138-148, 2007.

. Doe, Ames laboratory to lead new research effort to address shortages in rare earth and other critical materials. Department of Energy, Public announcement of the establishment of the Critical Minerals Institute, vol.9, 2013.

, Study on the review of the list of critical raw materials, 2017.

, Report on critical raw materials and the circular economy, Commission Staff Working Document, issue.2, p.36, 2018.

F. Fizaine, Minor metals and organized markets: New highlights about the consequences of establishing a futures market in a thin market with a dual trading price system, Resources Policy, vol.46, issue.1, pp.59-70, 2015.

M. Fodha and F. Magris, Recycling waste and endogenous fluctuations in an olg model, International Journal of Economic Theory, vol.11, issue.4, pp.405-427, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01308387

L. H. Goulder and S. H. Schneider, Induced technological change and the attractiveness of co2 abatement policies, Resource and Energy Economics, vol.21, issue.3, pp.211-253, 1999.

A. Grimaud and L. Rouge, Environment, directed technical change and economic policy, Environmental and Resource Economics, vol.41, issue.4, pp.439-463, 2008.

R. Hart, To everything there is a season: Carbon pricing, research subsidies, and the transition to fossil-free energy, Journal of the Association of Environmental and Resource Economists, vol.6, issue.2, pp.135-175, 2019.

O. C. Herfindahl, Depletion and economic theory, Extractive Resources and Taxation, pp.63-90, 1967.

E. G. Hertwich, T. Gibon, E. A. Bouman, A. Arvesen, S. Suh et al., Integrated life-cycle assessment of electricity-supply scenarios confirms global environmental benefit of low-carbon technologies, Proceedings of the National Academy of Sciences, vol.112, issue.20, p.1, 2015.

M. Hoel, Resource extraction and recycling with environmental costs, Journal of Environmental Economics and Management, vol.5, issue.3, pp.220-235, 1978.

H. Hotelling, The economics of exhaustible resources, Journal of Political Economy, vol.39, issue.2, p.1, 1931.

M. C. Kemp and N. Van-long, On two folk theorems concerning the extraction of exhaustible resources, Econometrica, vol.48, issue.3, pp.663-673, 1980.

S. Kverndokk and K. E. Rosendahl, Climate policies and learning by doing: Impacts and timing of technology subsidies, Resource and Energy Economics, vol.29, issue.1, pp.58-82, 2007.

G. Lafforgue and L. Rouge, A dynamic model of recycling with endogenous technological breakthrough, 2018.

D. Lemoine and C. Traeger, Watch your step: Optimal policy in a tipping climate, American Economic Journal: Economic Policy, vol.6, issue.1, pp.137-66, 2014.

T. R. Lewis, Sufficient conditions for extracting least cost resource first, Econometrica, vol.50, issue.4, pp.1081-1083, 1982.

M. Moreaux and F. Ricci, The simple analytics of developing resources from resources, Resource and Energy Economics, vol.27, issue.1, pp.41-63, 2005.

R. L. Moss, E. Tzimas, H. Kara, P. Willis, and J. Kooroshy, The potential risks from metals bottlenecks to the deployment of Strategic Energy Technologies, Energy Policy, vol.55, issue.2, pp.556-564, 2013.

I. Musu and M. Lines, Endogenous growth and environmental preservation, Environmental Economics, Confederation of European Economic Associations, pp.273-295, 1995.

K. Pittel, J. Amigues, and T. Kuhn, Recycling under a material balance constraint, Resource and Energy Economics, vol.32, issue.3, pp.379-394, 2010.

K. Pittel and L. Bretschger, The implications of heterogeneous resource intensities on technical change and growth, Canadian Journal of Economics/Revue canadienne d'´ economique, vol.43, issue.4, pp.1173-1197, 2010.

W. D. Schulze, The optimal use of non-renewable resources: The theory of extraction, Journal of Environmental Economics and Management, vol.1, issue.1, pp.53-73, 1974.

D. A. Singer, Future copper resources, Ore Geology Reviews, vol.86, issue.1, pp.271-279, 2017.

V. L. Smith, Dynamics of waste accumulation: Disposal versus recycling, Quarterly Journal of Economics, vol.86, issue.4, pp.600-616, 1972.

S. Smulders and M. De-nooij, The impact of energy conservation on technology and economic growth, Resource and Energy Economics, vol.25, issue.1, pp.59-79, 2003.

O. Tahvonen and S. Salo, Economic growth and transitions between renewable and nonrenewable energy resources, European Economic Review, vol.45, issue.8, pp.1379-1398, 2001.

Y. Tsur and A. Zemel, Scarcity, growth and r&d, Journal of Environmental Economics and Management, vol.49, issue.3, pp.484-499, 2005.

O. Vidal, B. Goffé, and N. Arndt, Metals for a low-carbon society, Nature Geoscience, vol.6, issue.11, pp.894-896, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01426278