Title
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A dynamic multi-objective duopoly game with capital accumulation and pollution
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Author
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Abstract
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This paper studies a discrete-time dynamic duopoly game with homogenous goods. Both firms have to decide on investment where investment increases production capacity so that they are able to put a larger quantity on the market. The downside, however, is that a larger quantity raises pollution. The firms have multiple objectives in the sense that each one maximizes the discounted profit stream and appreciates a clean environment as well. We obtain some surprising results. First, where it is known from the continuous-time differential game literature that firms invest more under a feedback information structure compared to an open-loop one, we detect scenarios where the opposite holds. Second, in a feedback Nash equilibrium, capital stock is more sensitive to environmental appreciation than in the open-loop case. |
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Language
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English
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Source (journal)
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Mathematics
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Publication
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2021
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ISSN
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2227-7390
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DOI
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10.3390/MATH9161983
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Volume/pages
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9
:16
(2021)
, p. 1-34
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Article Reference
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1983
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ISI
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000689402100001
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Medium
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E-only publicatie
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Full text (Publisher's DOI)
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Full text (open access)
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