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	<id>https://iseeamess.com/wiki/index.php?action=history&amp;feed=atom&amp;title=Sigmoid_tax</id>
	<title>Sigmoid tax - Revision history</title>
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	<updated>2026-05-13T23:56:22Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.35.0</generator>
	<entry>
		<id>https://iseeamess.com/wiki/index.php?title=Sigmoid_tax&amp;diff=3486&amp;oldid=prev</id>
		<title>Woozle: original proposal</title>
		<link rel="alternate" type="text/html" href="https://iseeamess.com/wiki/index.php?title=Sigmoid_tax&amp;diff=3486&amp;oldid=prev"/>
		<updated>2013-07-29T14:53:19Z</updated>

		<summary type="html">&lt;p&gt;original proposal&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 14:53, 29 July 2013&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l4&quot; &gt;Line 4:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 4:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Looking at it mathematically: if we use [[wikipedia:File:Hyperbolic and exponential; sinh.svg|sinh]]() for the sigmoid, and use 'a' for the average income and 'p' for pre-tax net income, then the net income after taxes would be sinh(p-a)+a ...or, to put it another way, the tax amount would be a+p-sinh(p-a). I think.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Looking at it mathematically: if we use [[wikipedia:File:Hyperbolic and exponential; sinh.svg|sinh]]() for the sigmoid, and use 'a' for the average income and 'p' for pre-tax net income, then the net income after taxes would be sinh(p-a)+a ...or, to put it another way, the tax amount would be a+p-sinh(p-a). I think.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;==Notes==&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;originally proposed in a comment [https://plus.google.com/u/0/102282887764745350285/posts/ZRE3kdJZ3ai here]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Woozle</name></author>
	</entry>
	<entry>
		<id>https://iseeamess.com/wiki/index.php?title=Sigmoid_tax&amp;diff=3485&amp;oldid=prev</id>
		<title>Woozle: Created page with &quot;A sigmoid tax is the idea of basing income taxes on a sigmoid curve, where the X axis is net income (after allowable expenses), the Y axis i...&quot;</title>
		<link rel="alternate" type="text/html" href="https://iseeamess.com/wiki/index.php?title=Sigmoid_tax&amp;diff=3485&amp;oldid=prev"/>
		<updated>2013-07-29T14:52:24Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;A &lt;a href=&quot;/wiki/Sigmoid_tax&quot; title=&quot;Sigmoid tax&quot;&gt;sigmoid tax&lt;/a&gt; is the idea of basing income taxes on a &lt;a href=&quot;http://en.wikipedia.org/wiki/sigmoid_function&quot; class=&quot;extiw&quot; title=&quot;wikipedia:sigmoid function&quot;&gt;sigmoid curve&lt;/a&gt;, where the X axis is net income (after allowable expenses), the Y axis i...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;A [[sigmoid tax]] is the idea of basing income taxes on a [[wikipedia:sigmoid function|sigmoid curve]], where the X axis is net income (after allowable expenses), the Y axis is the amount of income over the average which the recipient should be allowed to retain, and 0 is the mean income for that tax year.&lt;br /&gt;
&lt;br /&gt;
Those earning the mean would be neither taxed nor supported. Those earning below the mean would have their incomes enhanced in an amount corresponding to how far they are below it, while those earning above would have their incomes curtailed similarly.&lt;br /&gt;
&lt;br /&gt;
Looking at it mathematically: if we use [[wikipedia:File:Hyperbolic and exponential; sinh.svg|sinh]]() for the sigmoid, and use 'a' for the average income and 'p' for pre-tax net income, then the net income after taxes would be sinh(p-a)+a ...or, to put it another way, the tax amount would be a+p-sinh(p-a). I think.&lt;/div&gt;</summary>
		<author><name>Woozle</name></author>
	</entry>
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