Global indeterminacy and equilibrium selection in a model with depletion of non-renewable resources. (English) Zbl 1419.91543
Summary: We use the principles of global bifurcation analysis to explore the role of fiscal policy in a model where non-renewable depletion presents stock effects. Initially, we show that fiscal policy may induce the onset of two coexisting steady states, one of which is characterized by a lower depletion rate and higher income (virtuous steady state) than the other (bad steady state). Then, we shed light on the ability of an endogenous fiscal policy to act as an equilibrium selection device. We find that when the economy is sufficiently patient and exhibits low capital returns and environmental parameters, fiscal policy can create a continuum of equilibria that leads to the virtuous steady state. In the opposite situation of an impatient economy, which has high capital returns and environmental parameters, fiscal policy can only create one perfect-foresight path (a heteroclinic trajectory) through which the economy can approach the virtuous steady state.
MSC:
| 91B76 | Environmental economics (natural resource models, harvesting, pollution, etc.) |
| 91B64 | Macroeconomic theory (monetary models, models of taxation) |
| 91B62 | Economic growth models |
| 34C23 | Bifurcation theory for ordinary differential equations |
Keywords:
environmental taxation; multiple balanced growth paths; global bifurcation analysis; policy-induced heteroclinic orbitsReferences:
| [1] | Bella, G., Mattana, P.: Global indeterminacy of the equilibrium in the Chamley model of endogenous growth in the vicinity of a Bogdanov-Takens bifurcation. Math. Soc. Sci. 71, 69-79 (2014) · Zbl 1308.91116 · doi:10.1016/j.mathsocsci.2014.05.001 |
| [2] | Benhabib, J., Smith-Grohè, S., Uribe, M.: The Perils of Taylor Rules. J. Econ. Theory 96, 40-69 (2001) · Zbl 0981.91042 · doi:10.1006/jeth.1999.2585 |
| [3] | Bovenberg, A.L., de Mooij, R.A.: Environmental tax reform and endogenous growth. J. Public Econ. 63, 207-237 (1997) · doi:10.1016/S0047-2727(96)01596-4 |
| [4] | Bovenberg, A.L., Smulders, S.: Environmental quality and pollution-augmenting technological change in a two-sector endogenous growth model. J. Public Econ. 57, 369-391 (1995) · doi:10.1016/0047-2727(95)80002-Q |
| [5] | Economides, G., Park, H., Philippopoulos, A.: Optimal protection of property rights in a general equilibrium model of growth. Scand. J. Econ. 109, 153-175 (2007) · doi:10.1111/j.1467-9442.2007.00486.x |
| [6] | Fullerton, D., Kim, S.R.: Environmental investment and policy with distortionary taxes, and endogenous growth. J. Environ. Econ. Manag. 56, 141-154 (2008) · Zbl 1146.91347 · doi:10.1016/j.jeem.2008.02.001 |
| [7] | Groth, G., Schou, P.: Growth and non-renewable resources: The different roles of capital and resource taxes. J. Environ. Econ. Manag. 53, 80-98 (2007) · Zbl 1133.91516 · doi:10.1016/j.jeem.2006.07.004 |
| [8] | Hettich, F.: Growth effects of a revenue-neutral environmental tax reform. J. Econ. 67, 287-316 (1998) · Zbl 1010.91074 · doi:10.1007/BF01234647 |
| [9] | Krautkramer, J.A.: Nonrenewable resource scarcity. J. Econ. Lit. 36, 2065-2107 (1998) |
| [10] | Kuznetsov, Y.A.: Elements of Applied Bifurcation Theory. Springer, New York (2004) · Zbl 1082.37002 · doi:10.1007/978-1-4757-3978-7 |
| [11] | Ligthart, J.: The macroeconomic effects of environmental taxes: a closer look at the feasibility of ‘win-win’ outcomes. IMF Working Paper 98/75 (1998) |
| [12] | Mattana, P., Nishimura, K., Shigoka, T.: Homoclinic bifurcation and global indeterminacy of equilibrium in a two-sector endogenous growth model. Int. J. Econ. Theory 5, 1-23 (2009) · doi:10.1111/j.1742-7363.2008.00093.x |
| [13] | Perez, R., Ruiz, J.: Global and local indeterminacy and optimal environmental public policies in an economy with public abatement activities. Econ. Model. 24, 431-452 (2007) · doi:10.1016/j.econmod.2006.10.004 |
| [14] | Pindyck, R.S.: The optimal exploration and production of nonrenewable resources. J. Polit. Econ. 86, 841-861 (1978) · doi:10.1086/260714 |
| [15] | Stiglitz, J.: Growth with exhaustible natural resources: efficient and optimal growth paths. Rev. Econ. Stud. 41, 123-137 (1974a) · Zbl 0353.90010 · doi:10.2307/2296377 |
| [16] | Stiglitz, J.: Growth with exhaustible natural resources: the competitive economy. Rev. Econ. Stud. 41, 139-152 (1974b) · Zbl 0353.90009 · doi:10.2307/2296378 |
| [17] | Vella, E., Dioikitopoulos, E.V., Kalyvitis, S.: Green spending reforms, growth, and welfare with endogenous subjective discounting. Macroecon. Dyn. 19, 1240-1260 (2015) · doi:10.1017/S1365100513000813 |
| [18] | Wiggins, S.: Introduction to Applied Nonlinear Dynamical Systems and Chaos. Springer, New York (1991) |
| [19] | Yanase, A.: Impatience, pollution, and indeterminacy. J. Econ. Dyn. Control 35, 1789-1799 (2011) · Zbl 1282.91251 · doi:10.1016/j.jedc.2011.06.010 |
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