Abstract
This study compares the utilization of energy and emission taxes as instruments of pollution control and the promotion of advanced abatement technology adoption in a Cournot oligopoly. We examine multistage games in which the government sets the environmental tax rate. Oligopolistic firms may produce two outputs, a final consumption good, whose production causes pollution, and an abatement product, which reduces pollution. Each firm has two types of abatement technology available. One, which we call “standard,” can be utilized without incurring any fixed cost. The other, which we call “advanced,” requires a fixed cost of adoption. The advanced technology is more efficient than the standard technology. We show that the effectiveness of either type of tax depends on the shape of the multiproduct technology. In the absence of economies of scope in the production of energy and abatement, the energy tax reduces pollution, but it is ineffective in promoting technological change. The emission tax, on the other hand, reduces pollution and it is effective in promoting technological change for sufficiently small fixed costs of adoption. In the presence of economies of scope, both types of taxes are effective whenever taxation is necessary for innovation to occur. However, in terms of innovation incentives, the energy tax outperforms the emission tax.
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Notes
See OECD (2005), https://stats.oecd.org/glossary/detail.asp?ID=6437.
We assume throughout that \(\chi\) is not sufficiently negative to avoid a situation in which average cost is negative in the setting with no environmental regulation.
We use superscripts “1”, “2”, and “3” to denote no tax regime, energy tax regime, and emission tax regime, respectively.
In the absence of economies of scope, no firm has incentive to produce abatement and adopt the advanced technology, because firm profits decrease in \(a_{i}\). In the presence of economies of scope, if \(n \ge 4,\) no firm has incentive to produce abatement and adopt the advanced technology, because \(\left. {\pi_{i} \left( n \right)} \right|_{{a_{i} = 0}} > \left. {\pi_{i} \left( {1,0;{\mathbf{1}},\chi ,n} \right)} \right|_{{a_{i} > 0}}\) and \(\left. {\pi_{i} \left( n \right)} \right|_{{a_{i} = 0}} > \left. {\pi_{i} \left( {{1 \mathord{\left/ {\vphantom {1 2}} \right. \kern-\nulldelimiterspace} 2},1;{{\mathbf{1}} \mathord{\left/ {\vphantom {{\mathbf{1}} {\mathbf{2}}}} \right. \kern-\nulldelimiterspace} {\mathbf{2}}},\chi ,n,f} \right)} \right|_{{a_{i} > 0}}\), as shown in Sect. 4.
In Subsect. 5.2, we compare firm profits, consumer surpluses, environmental damage, and social welfare under the following three regimes: no tax, energy tax, and emission tax regimes. We assume \(\tilde{f} = 0.00018.\) Both energy and emission taxes promote the advanced abatement technology in the presence of economies scope at \(\tilde{f} = 0.00018.\) Assuming \(\tilde{f} = 0.00018,\) we can examine the effectiveness of taxation to observe how taxes could improve the surpluses compared to the no tax regime.
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Acknowledgements
We are very grateful for helpful and insightful comments by Yasunori Ouchida. Our paper has greatly benefited from comments and suggestions made by anonymous referees. Financial support from the Japan Society for the Promotion of Science KAKENHI (Grant No. 25780166) is greatly appreciated.
Funding
This study was funded by the Japan Society for the Promotion of Science KAKENHI (Grant Number. 25780166).
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Aoyama, N., Silva, E.C.D. Abatement innovation in a Cournot oligopoly: emission versus output tax incentives. JER 73, 325–350 (2022). https://doi.org/10.1007/s42973-020-00047-7
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DOI: https://doi.org/10.1007/s42973-020-00047-7