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	<id>https://market.subwiki.org/w/index.php?action=history&amp;feed=atom&amp;title=Pareto_efficiency_criterion</id>
	<title>Pareto efficiency criterion - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://market.subwiki.org/w/index.php?action=history&amp;feed=atom&amp;title=Pareto_efficiency_criterion"/>
	<link rel="alternate" type="text/html" href="https://market.subwiki.org/w/index.php?title=Pareto_efficiency_criterion&amp;action=history"/>
	<updated>2026-05-28T16:49:28Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.41.2</generator>
	<entry>
		<id>https://market.subwiki.org/w/index.php?title=Pareto_efficiency_criterion&amp;diff=971&amp;oldid=prev</id>
		<title>Vipul: /* Definition */</title>
		<link rel="alternate" type="text/html" href="https://market.subwiki.org/w/index.php?title=Pareto_efficiency_criterion&amp;diff=971&amp;oldid=prev"/>
		<updated>2012-02-28T18:14:20Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Definition&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&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 18:14, 28 February 2012&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-l3&quot;&gt;Line 3:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 3:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;==Definition==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;==Definition==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&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: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A particular allocation of resources, or a particular arrangement, is said to be &#039;&#039;&#039;Pareto efficient&#039;&#039;&#039; or &#039;&#039;&#039;Pareto optimal&#039;&#039;&#039; (or equivalently, is said to have &#039;&#039;&#039;Pareto efficiency&#039;&#039;&#039; or &#039;&#039;&#039;Pareto optimality&#039;&#039;&#039;) if there is no &#039;&#039;Pareto improvement&#039;&#039; possible. A Pareto improvement is an alternative allocation or arrangement in which &#039;&#039;no&#039;&#039; party is &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;better &lt;/del&gt;off and at least one party is &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;worse &lt;/del&gt;off.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&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;A particular allocation of resources, or a particular arrangement, is said to be &#039;&#039;&#039;Pareto efficient&#039;&#039;&#039; or &#039;&#039;&#039;Pareto optimal&#039;&#039;&#039; (or equivalently, is said to have &#039;&#039;&#039;Pareto efficiency&#039;&#039;&#039; or &#039;&#039;&#039;Pareto optimality&#039;&#039;&#039;) if there is no &#039;&#039;Pareto improvement&#039;&#039; possible. A Pareto improvement is an alternative allocation or arrangement in which &#039;&#039;no&#039;&#039; party is &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;worse &lt;/ins&gt;off and at least one party is &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;better &lt;/ins&gt;off.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;The criterion of Pareto efficiency is termed the &amp;#039;&amp;#039;&amp;#039;Pareto efficiency criterion&amp;#039;&amp;#039;&amp;#039; or &amp;#039;&amp;#039;&amp;#039;Pareto criterion.&amp;#039;&amp;#039;&amp;#039;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;The criterion of Pareto efficiency is termed the &amp;#039;&amp;#039;&amp;#039;Pareto efficiency criterion&amp;#039;&amp;#039;&amp;#039; or &amp;#039;&amp;#039;&amp;#039;Pareto criterion.&amp;#039;&amp;#039;&amp;#039;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Vipul</name></author>
	</entry>
	<entry>
		<id>https://market.subwiki.org/w/index.php?title=Pareto_efficiency_criterion&amp;diff=715&amp;oldid=prev</id>
		<title>Vipul: /* Definition */</title>
		<link rel="alternate" type="text/html" href="https://market.subwiki.org/w/index.php?title=Pareto_efficiency_criterion&amp;diff=715&amp;oldid=prev"/>
		<updated>2011-08-30T11:44:16Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Definition&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
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				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&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 11:44, 30 August 2011&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-l3&quot;&gt;Line 3:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 3:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;==Definition==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;==Definition==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&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: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A particular allocation of resources, or a particular arrangement, is said to be &#039;&#039;&#039;Pareto efficient&#039;&#039;&#039; or &#039;&#039;&#039;Pareto &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;optimality&lt;/del&gt;&#039;&#039;&#039; (or equivalently, is said to have &#039;&#039;&#039;Pareto efficiency&#039;&#039;&#039; or &#039;&#039;&#039;Pareto optimality&#039;&#039;&#039;) if there is no &#039;&#039;Pareto improvement&#039;&#039; possible. A Pareto improvement is an alternative allocation or arrangement in which &#039;&#039;no&#039;&#039; party is better off and at least one party is worse off.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&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;A particular allocation of resources, or a particular arrangement, is said to be &#039;&#039;&#039;Pareto efficient&#039;&#039;&#039; or &#039;&#039;&#039;Pareto &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;optimal&lt;/ins&gt;&#039;&#039;&#039; (or equivalently, is said to have &#039;&#039;&#039;Pareto efficiency&#039;&#039;&#039; or &#039;&#039;&#039;Pareto optimality&#039;&#039;&#039;) if there is no &#039;&#039;Pareto improvement&#039;&#039; possible. A Pareto improvement is an alternative allocation or arrangement in which &#039;&#039;no&#039;&#039; party is better off and at least one party is worse off.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;The criterion of Pareto efficiency is termed the &amp;#039;&amp;#039;&amp;#039;Pareto efficiency criterion&amp;#039;&amp;#039;&amp;#039; or &amp;#039;&amp;#039;&amp;#039;Pareto criterion.&amp;#039;&amp;#039;&amp;#039;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;The criterion of Pareto efficiency is termed the &amp;#039;&amp;#039;&amp;#039;Pareto efficiency criterion&amp;#039;&amp;#039;&amp;#039; or &amp;#039;&amp;#039;&amp;#039;Pareto criterion.&amp;#039;&amp;#039;&amp;#039;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Vipul</name></author>
	</entry>
	<entry>
		<id>https://market.subwiki.org/w/index.php?title=Pareto_efficiency_criterion&amp;diff=708&amp;oldid=prev</id>
		<title>Vipul: moved Pareto efficiency to Pareto efficiency criterion</title>
		<link rel="alternate" type="text/html" href="https://market.subwiki.org/w/index.php?title=Pareto_efficiency_criterion&amp;diff=708&amp;oldid=prev"/>
		<updated>2011-08-30T11:28:11Z</updated>

		<summary type="html">&lt;p&gt;moved &lt;a href=&quot;/wiki/Pareto_efficiency&quot; class=&quot;mw-redirect&quot; title=&quot;Pareto efficiency&quot;&gt;Pareto efficiency&lt;/a&gt; to &lt;a href=&quot;/wiki/Pareto_efficiency_criterion&quot; title=&quot;Pareto efficiency criterion&quot;&gt;Pareto efficiency criterion&lt;/a&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 11:28, 30 August 2011&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Vipul</name></author>
	</entry>
	<entry>
		<id>https://market.subwiki.org/w/index.php?title=Pareto_efficiency_criterion&amp;diff=707&amp;oldid=prev</id>
		<title>Vipul: Created page with &quot;{{efficiency criterion}}  ==Definition==  A particular allocation of resources, or a particular arrangement, is said to be &#039;&#039;&#039;Pareto efficient&#039;&#039;&#039; or &#039;&#039;&#039;Pareto optimality&#039;&#039;&#039; (or e...&quot;</title>
		<link rel="alternate" type="text/html" href="https://market.subwiki.org/w/index.php?title=Pareto_efficiency_criterion&amp;diff=707&amp;oldid=prev"/>
		<updated>2011-08-30T11:24:58Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{efficiency criterion}}  ==Definition==  A particular allocation of resources, or a particular arrangement, is said to be &amp;#039;&amp;#039;&amp;#039;Pareto efficient&amp;#039;&amp;#039;&amp;#039; or &amp;#039;&amp;#039;&amp;#039;Pareto optimality&amp;#039;&amp;#039;&amp;#039; (or e...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{efficiency criterion}}&lt;br /&gt;
&lt;br /&gt;
==Definition==&lt;br /&gt;
&lt;br /&gt;
A particular allocation of resources, or a particular arrangement, is said to be &amp;#039;&amp;#039;&amp;#039;Pareto efficient&amp;#039;&amp;#039;&amp;#039; or &amp;#039;&amp;#039;&amp;#039;Pareto optimality&amp;#039;&amp;#039;&amp;#039; (or equivalently, is said to have &amp;#039;&amp;#039;&amp;#039;Pareto efficiency&amp;#039;&amp;#039;&amp;#039; or &amp;#039;&amp;#039;&amp;#039;Pareto optimality&amp;#039;&amp;#039;&amp;#039;) if there is no &amp;#039;&amp;#039;Pareto improvement&amp;#039;&amp;#039; possible. A Pareto improvement is an alternative allocation or arrangement in which &amp;#039;&amp;#039;no&amp;#039;&amp;#039; party is better off and at least one party is worse off.&lt;br /&gt;
&lt;br /&gt;
The criterion of Pareto efficiency is termed the &amp;#039;&amp;#039;&amp;#039;Pareto efficiency criterion&amp;#039;&amp;#039;&amp;#039; or &amp;#039;&amp;#039;&amp;#039;Pareto criterion.&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
==Facts==&lt;br /&gt;
&lt;br /&gt;
* Generally, all points on a &amp;#039;&amp;#039;frontier&amp;#039;&amp;#039; are Pareto efficient, while all points on the inside are not. For instance, given a [[production possibility curve]], the Pareto efficient production possibilities are precisely the possibilities &amp;#039;&amp;#039;on&amp;#039;&amp;#039; the curve, while production possibilities in the interior region are not Pareto efficient because production of both goods can be increased.&lt;br /&gt;
* Pareto efficiency is a fairly weak criterion and there can be multiple very different arrangements that are Pareto efficient, as described for instance by the multiple points on the production possibility curve.&lt;br /&gt;
* Because of this problem of Pareto efficiency being too weak to yield unique allocations, we often consider a modified version where gainers are in a position to compensate losers (known as the [[compensation principle]]). For instance, an outcome in which &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt; gets 100 units and B gets 3 units is not a Pareto improvement over an outcome in which &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt; both get 5 units, but if we allow &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt; to provide partial compensation to &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt;, we can get an outcome that &amp;#039;&amp;#039;is&amp;#039;&amp;#039; a Pareto improvement over an outcome where &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt; both get 5 units. A modification of the Pareto criterion that accounts for &amp;#039;&amp;#039;potential&amp;#039;&amp;#039; compensation (Without necessarily including the compensation as part of the arrangement itself) is termed the [[Kaldor-Hicks efficiency criterion]], also called the &amp;#039;&amp;#039;&amp;#039;potential Pareto criterion&amp;#039;&amp;#039;&amp;#039;.&lt;/div&gt;</summary>
		<author><name>Vipul</name></author>
	</entry>
</feed>