<p>We analyzed water pollution in the Ganges River caused by tanneries in Kanpur, India. Specifically, we examined the merits of a claim made recently in the literature that unitizing or merging polluting tanneries can improve water quality in the Ganges. We modeled the <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41685_2025_383_Article_IEq1.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="43" /> </InlineMediaObject> <EquationSource Format="TEX">\(n\ge 2\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>n</mi> <mo>≥</mo> <mn>2</mn> </mrow> </math></EquationSource> </InlineEquation> polluting tanneries in Kanpur as a Cournot oligopoly and derived the equilibrium output of leather, profits, and social welfare. Second, we permitted <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41685_2025_383_Article_IEq2.gif" Format="GIF" Height="11" Rendition="HTML" Resolution="72" Type="Linedraw" Width="51" /> </InlineMediaObject> <EquationSource Format="TEX">\(m&lt;n\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>m</mi> <mo>&lt;</mo> <mi>n</mi> </mrow> </math></EquationSource> </InlineEquation> tanneries to merge and determined when the <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41685_2025_383_Article_IEq3.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="18" /> </InlineMediaObject> <EquationSource Format="TEX">\(m\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>m</mi> </math></EquationSource> </InlineEquation>-tannery unitization is profitable to the unitized entity. Third, the <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41685_2025_383_Article_IEq4.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="60" /> </InlineMediaObject> <EquationSource Format="TEX">\((n-m)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>n</mi> <mo>-</mo> <mi>m</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> non-unitized tanneries were better off with unitization. Finally, our findings demonstrated that <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41685_2025_383_Article_IEq3.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="18" /> </InlineMediaObject> <EquationSource Format="TEX">\(m\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>m</mi> </math></EquationSource> </InlineEquation>-tannery unitization increases the industry price of leather and lowers social welfare. In conclusion, we discuss the implications of these findings for improved water quality in the Ganges.</p>

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Tanneries in Kanpur, India, water pollution in the Ganges, and unitization

  • Amitrajeet A. Batabyal

摘要

We analyzed water pollution in the Ganges River caused by tanneries in Kanpur, India. Specifically, we examined the merits of a claim made recently in the literature that unitizing or merging polluting tanneries can improve water quality in the Ganges. We modeled the \(n\ge 2\) n 2 polluting tanneries in Kanpur as a Cournot oligopoly and derived the equilibrium output of leather, profits, and social welfare. Second, we permitted \(m<n\) m < n tanneries to merge and determined when the \(m\) m -tannery unitization is profitable to the unitized entity. Third, the \((n-m)\) ( n - m ) non-unitized tanneries were better off with unitization. Finally, our findings demonstrated that \(m\) m -tannery unitization increases the industry price of leather and lowers social welfare. In conclusion, we discuss the implications of these findings for improved water quality in the Ganges.