Quantal response equilibrium - Revision history

en>Masssly: clean up, typo(s) fixed: a AQRE → an AQRE using AWB

2014-04-03T20:46:17Z

clean up, typo(s) fixed: a AQRE → an AQRE using AWB

← Older revision		Revision as of 22:46, 3 April 2014
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	~~In [[linear algebra]], two rectangular ''m''-by-''n'' [[matrix (mathematics)\|matrices]] ''A''~~ and ~~''B'' are called '''equivalent''' if~~		Claude is her title and she completely digs that title. Arizona is her beginning place and she will by no means transfer. Bookkeeping is how he supports his family members and his wage has been truly fulfilling. To play handball is the factor she enjoys most of all.<br><br>Take a look at my web-site; car warranty ([http://Christianculturecenter.org/ActivityFeed/MyProfile/tabid/61/userId/34117/Default.aspx click the up coming article])
	~~:<math>\! B = Q^{-1} A P</math>~~
	~~for some [[invertible matrix\|invertible]] ''n''-by-''n'' matrix ''P''~~ and ~~some invertible ''m''-~~by-''m'' matrix ''Q''. Equivalent matrices represent the same [[linear map\|linear transformation]] ''V'' → ''W'' under two different choices of a pair of [[Basis (linear algebra)\|bases]] of ''V'' and ''W'', with ''P'' and ''Q'' being the [[change of basis]] matrices in ''V'' and ''W'' respectively.

	~~The notion of equivalence should not be confused with that of [[Similar matrix\|similarity]], which~~ is ~~only defined for square matrices,~~ and ~~is much more restrictive (similar matrices are certainly equivalent, but equivalent square matrices need not be similar)~~. That notion corresponds to matrices representing the same [[endomorphism]] ''V'' → ''V'' under two different choices of a ''single'' basis of ''V'', used both for initial vectors and their images.

	~~== Properties ==~~
	~~Matrix equivalence~~ is ~~an [[equivalence relation]] on~~ the ~~space~~ of ~~rectangular matrices~~.

	~~For two rectangular matrices of the same size, their equivalence can also be characterized by the following conditions~~
	* The matrices can be transformed into one another by a ~~combination of~~ [~~[elementary row operation\|elementary row and column operations]]~~.
	* Two matrices are equivalent if and only if they have the ~~same [[rank of a matrix\|rank]].~~

	~~==See also==~~
	*[[Matrix similarity]]
	*[[Row equivalence]]
	*[[Matrix congruence]]

	~~[[Category:Matrices]~~]

152.3.141.129: Removed "subsetof = Bayes Nash equilibrium|", as Quantal Response Equilibrium does not even refine Nash Equilibrium.

2013-08-27T21:32:42Z

Removed "subsetof = Bayes Nash equilibrium|", as Quantal Response Equilibrium does not even refine Nash Equilibrium.

← Older revision		Revision as of 23:32, 27 August 2013
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	~~Hi there~~, ~~I am Sophia~~. ~~Her family members lives~~ in ~~Ohio~~ but ~~her spouse wants them~~ to ~~move. For many years she~~'~~s been operating as~~ a ~~travel agent~~. ~~To perform lacross~~ is ~~one~~ of the ~~things she loves most.<br><br>Stop~~ by ~~my blog post ..~~. [~~http://c045~~.~~danah.co.kr/home/index.php?document_srl~~=~~1356970&mid~~=~~qna live psychic reading~~]		In [[linear algebra]], two rectangular ''m''-by-''n'' [[matrix (mathematics)\|matrices]] ''A'' and ''B'' are called '''equivalent''' if
			:<math>\! B = Q^{-1} A P</math>
			for some [[invertible matrix\|invertible]] ''n''-by-''n'' matrix ''P'' and some invertible ''m''-by-''m'' matrix ''Q''. Equivalent matrices represent the same [[linear map\|linear transformation]] ''V'' → ''W'' under two different choices of a pair of [[Basis (linear algebra)\|bases]] of ''V'' and ''W'', with ''P'' and ''Q'' being the [[change of basis]] matrices in ''V'' and ''W'' respectively.

			The notion of equivalence should not be confused with that of [[Similar matrix\|similarity]], which is only defined for square matrices, and is much more restrictive (similar matrices are certainly equivalent, but equivalent square matrices need not be similar). That notion corresponds to matrices representing the same [[endomorphism]] ''V'' → ''V'' under two different choices of a ''single'' basis of ''V'', used both for initial vectors and their images.

			== Properties ==
			Matrix equivalence is an [[equivalence relation]] on the space of rectangular matrices.

			For two rectangular matrices of the same size, their equivalence can also be characterized by the following conditions
			* The matrices can be transformed into one another by a combination of [[elementary row operation\|elementary row and column operations]].
			* Two matrices are equivalent if and only if they have the same [[rank of a matrix\|rank]].

			==See also==
			*[[Matrix similarity]]
			*[[Row equivalence]]
			*[[Matrix congruence]]

			[[Category:Matrices]]

89.168.89.97 at 11:04, 8 November 2011

2011-11-08T11:04:39Z

New page

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