Heat generation in integrated circuits - Revision history

en>Yobot: Tagging + other fixes, removed underlinked tag using AWB (10392)

2014-08-21T20:37:38Z

Tagging + other fixes, removed underlinked tag using AWB (10392)

← Older revision		Revision as of 22:37, 21 August 2014
Line 1:		Line 1:
	~~The '''generalized second-price auction (GSP)''' is a non-truthful auction mechanism~~ for ~~multiple items. Each bidder places a bid~~. ~~The highest bidder gets the first slot, the second~~-~~highest, the second slot and so on, but the highest bidder pays the price bid by the second-highest bidder~~, ~~the second-highest pays the price bid by the third-highest~~, and ~~so on~~. ~~First conceived as a natural extension~~ of the ~~[[Vickrey auction]], it~~ in ~~fact does conserve some of the good properties of~~ the ~~Vickrey auction~~. ~~It is used mainly in the context~~ of ~~keyword auctions,~~ where sponsored search slots are sold on an auction basis. The first analyses of GSP are in the [[economics]] literature by Edelman, Ostrovsky, and Schwarz<ref name="eos"> Benjamin Edelman, Michael Ostrovsky, and ~~Michael Schwarz: "~~[http://~~faculty-gsb.stanford~~.~~edu~~/~~ostrovsky~~/~~papers/gsp~~.~~pdf Internet Advertising and the Generalized Second~~-~~Price Auction: Selling Billions~~ of ~~Dollars Worth of Keywords]". American Economic Review 97(1)~~, ~~2007 pp 242-259</ref>~~ and ~~by [[Hal Varian\|Varian]]~~.<~~ref name="varian"~~>~~H. R. Varian: "[http://people.ischool.berkeley.edu/~hal/Papers/2006/position.pdf Position auctions. International Journal of Industrial Organization, 2006]".~~<~~/ref~~> ~~It is employed by Google's [[AdWords]] technology.~~		It involves expertise and knowledge of various tools and technologies used for creating websites. Offshore expert Word - Press developers high level of interactivity, accessibility, functionality and usability of our website can add custom online to using. * A community forum for debate of the product together with some other customers in the comments spot. If you have any type of inquiries relating to where and just how to use [http://pbop.de/l/wordpressbackup858159 wordpress backup plugin], you could contact us at our own page. Keep reading for some great Word - Press ideas you can start using today. The number of options offered here is overwhelming, but once I took the time to begin to review the video training, I was amazed at how easy it was to create a squeeze page and a membership site. <br><br>

	~~== Formal model ==~~		purcase and download - WPZOOM Tribune wordpress Theme, find and use the WPZOOM Discount Code. You do not catch a user's attention through big and large pictures that usually takes a millennium to load up. This plugin allows a blogger get more Facebook fans on the related fan page. From my very own experiences, I will let you know why you should choose WPZOOM Live journal templates. But in case you want some theme or plugin in sync with your business needs, it is advisable that you must seek some professional help. <br><br>Saying that, despite the launch of Wordpress Express many months ago, there has still been no sign of a Wordpress video tutorial on offer UNTIL NOW. After sending these details, your Word - Press blog will be setup within a few days. I've applied numerous Search engine optimization-ready Word - Press themes and I can say from knowledge that I consider the Genesis Search engine marketing panel one particular of the simplest to use. The first thing you need to do is to choose the right web hosting plan. If you've hosted your Word - Press website on a shared hosting server then it'll be easier for you to confirm the restricted access to your site files. <br><br>Whether your Word - Press themes is premium or not, but nowadays every theme is designed with widget-ready. Russell HR Consulting provides expert knowledge in the practical application of employment law as well as providing employment law training and HR support services. However, you may not be able to find a theme that is in sync with your business. It's now become a great place to sell it thanks to Woo - Commerce. Fortunately, Word - Press Customization Service is available these days, right from custom theme design, to plugin customization and modifying your website, you can take any bespoke service for your Word - Press development project. <br><br>More it extends numerous opportunities where your firm is at comfort and rest assured of no risks & errors. Automated deal feed integration option to populate your blog with relevant deals. As a result, it is really crucial to just take aid of some experience when searching for superior quality totally free Word - Press themes, Word - Press Premium Themes for your web site. Thus, Word - Press is a good alternative if you are looking for free blogging software. Get started today so that people searching for your type of business will be directed to you.

	~~Consider there are <math>n</math> bidders~~ and ~~<math>k < n</math> slots~~. ~~Each slot has~~ a ~~probability of being clicked of <math>\alpha_i</math>~~. ~~We can assume that top slots have~~ a ~~larger probability of being clicked~~, ~~so:~~

	~~: <math>\alpha_1 \geq \alpha_2 \geq \cdots \geq \alpha_k~~. \, <~~/math~~>

	~~We can think of~~ <~~math~~>~~n-k</math> additional virtual slots with click-through-rate zero~~, so, ~~<math>\alpha_i = 0</math> for <math>i > k</math>. Now, each bidder~~ has ~~an intrinsic value for one slot <math>v_i</math> submits~~ a bid <math>b_i</math> indicating the maximum he is willing to pay for a slot (which is his '''bid''' '''reported valuation''' – notice it doesn't need to be the same as his '''true valuation''' <math>v_i</math>). ~~We order the bidders by their value~~, ~~let's say:~~

	~~: <math>v_1 \geq v_2 \geq \cdots \geq v_n, \, </math>~~

	~~and charge each bidder a price <math>p_i</math> (this~~ will be ~~0 if they didn't win~~ a ~~slot)~~. ~~Slots are sold in a [[Pay per click\|pay~~-~~per~~-~~click]] model, so a bidder just pays for a slot if the user actually clicks in~~ that ~~slot. We say~~ the ~~utility~~ of ~~bidder <math>i</math> when allocated~~ to ~~slot <math>j</math> is <math>u_i = \alpha_j (v_i - p_i)</math>~~. The ~~total [[Social welfare function\|social welfare]] from owning or selling slots is given by: <math>\sum_j \alpha_j v_{\pi(j)}</math> where <math>\pi(j)</math> is the bidder allocated~~ to ~~slot <math>j</math>. The total revenue~~ is ~~given by: <math>\sum_i \alpha_i p_i</math>~~

	~~== GSP mechanism ==~~

	~~To specify a [[Mechanism design\|mechanism]] we need~~ to ~~define~~ the ~~allocation rule (who gets which slot) and the prices paid by each bidder~~. In a ~~generalized second-price auction we order the bidders by their bid and give the top slot~~ to the ~~highest bidder, the second top slot~~ to ~~the second highest bidder and so on. So, bidder <math>i</math> gets slot <math>i</math>~~. ~~Each bidder pays the bid of the next highest bidder, so:~~ <~~math~~>~~p_i = b_{i+1}~~<~~/math~~>.

	~~== Non~~-~~truthfulness ==~~

	~~There are cases where bidding the true valuation~~ is not ~~a [[Nash equilibrium]]. For example~~, ~~consider two slots~~ with ~~<math>\alpha_1 = 1</math> and <math>\alpha_2 = 0~~.~~4</math>~~ and ~~three bidders with valuations <math>v_1 = 7</math>, <math>v_2 = 6</math> and <math>v_3 = 1</math>~~. ~~Bidding 7~~, ~~6 and 1 respectively is~~ not a ~~Nash equilibrium, since the first bidder could lower his bid to 5 and get the second slot for the price of 1 and increase his utility therefore.~~

	~~== Equilibria of GSP ==~~

	~~Edelman, Ostrovsky and Schwarz <ref name="eos"/> show~~ that ~~GSP (in the model presented above) has always an efficient equilibrium, i.e., an equilibrium maximizing social welfare, which~~ is ~~measured as <math>SW = \sum_i \alpha_i v_{\pi(i)}</math> where <math>\pi(i)</math> is the slot~~ in ~~which player <math>i</math> is allocated according to his bid (the permutation <math>\pi</math> is defined by the bid vector <math>(b_1, \dots, b_n)</math>)~~. ~~This equilibrium has the property that the outcome (allocation and payments) is the similar of [[VCG]]. The same papers study properties of~~ a ~~natural but restricted class of equilibria called envy-free equilibria. They prove that envy-free equilibria always exist and~~ it ~~always maximizes the social welfare~~ - ~~they also compare the revenue on different envy-free equilibria~~. ~~Lahaie <ref name="lahaie">S. Lahaie. [http://www.cs.columbia.edu/coms6998~~-~~3/fp185-lahaie.pdf An analysis of alternative slot auction designs for sponsored search]. In EC ’06: Proceedings of the 7th ACMconference on Electronic commerce~~, ~~pages 218–227</ref> studies the GSP~~ from ~~a Theoretical Computer Science point of view. Paes Leme and [[Éva Tardos\|Tardos]] <ref name="plt">Renato Paes Leme~~ and ~~Éva Tardos~~, ~~Pure and Bayes~~-Nash Price of Anarchy for Generalized Second Price Auction, 51st Annual IEEE Symposium on Foundations of Computer Science (FOCS 2010)</ref> study the structure of the general equilibria in GSP and prove [[Price of Anarchy]]. ~~They prove that the Price of Anarchy under a set of natural conditions is bounded by~~ <~~math~~>~~1.618~~<~~/math~~> ~~([[golden ratio]]). Computational analysis~~ of ~~this game have been performed by Thompson and Leyton-Brown~~.~~<ref name= "tl">D~~. ~~R. M. Thompson and K. Leyton-Brown. Computational analysis of perfect-information position auctions. In EC ’09: Proceedings of the tenth ACM conference on Electronic commerce~~, ~~pages 51–60, New York, NY, USA, 2009. ACM.</ref>~~

	~~== GSP and uncertainty ==~~

	~~The classical results due~~ to ~~Edelman, Ostrovsky and Schwarz <ref name="eos"/> and Varian <ref name="varian"/> hold in the [[Complete_information\|full information setting]] –~~ when ~~there is no uncertainty involved. Recent results as Gomes and Sweeney <ref name="gs">R. D. Gomes and K. S. Sweeney. Bayes~~-~~nash equilibria of the generalized second price auction. In EC ’09: Proceedings of the tenth ACM conference on Electronic commerce~~, ~~pages 107–108, New York, NY, USA, 2009. ACM</ref> and Paes Leme and Tardos <ref name="plt"/> and also empirically by Athey and Nikipelov <ref name="an">Susan Athey and Denis Nekipelov~~. ~~[http://keystonestrategy.com/publications/pdf/athey%20structural%20model%20sponsored%20search%20ad.pdf A Structural Model of Sponsored Search Advertising Auctions]~~, ~~Ad Auctions Workshop, 2010</ref> discuss the Bayesian version of the game~~ - ~~where players have beliefs about the other players, but not necessarily know the other players valuations~~. ~~Gomes and Sweeney <ref name="gs"/> prove~~ that ~~an efficient equilibrium might not exist in the partial information setting. Paes Leme and Tardos <ref name="plt"/> prove a bound of 8~~ for ~~the Bayes-Nash [[Price~~ of ~~Anarchy]]~~.

	~~==See also==~~
	* [[AdWords]]
	* [[Auction theory]]

	~~== References ==~~
	~~{{Reflist}}~~

	* S. Lahaie, D. Pennock, A. Saberi, and R. Vohra. ''Algorithmic Game Theory'', chapter "Sponsored search auctions:, pages 699–716. Cambridge University Press,
	~~2007~~

	* Lecture notes on [http://www.infosci.cornell.edu/courses/info204/2007sp/kba.pdf Keyword-Based Advertisement]

	~~[[Category:Auction theory]]~~

en>Pizzagreen at 05:19, 17 May 2013

2013-05-17T05:19:16Z

← Older revision		Revision as of 07:19, 17 May 2013
Line 1:		Line 1:
	~~If an existing Word~~ - ~~Press code~~ is ~~found vulnerable, Word~~ - ~~Press will immediately issue an update~~ for ~~that~~. ~~Also~~, ~~you may want to opt for a more professioanl theme if you are planning~~ on ~~showing your site off to~~ a ~~high volume~~ of ~~potential customers each day~~. ~~SEO Ultimate - I think this plugin deserves more recognition than it's gotten up till now~~. ~~They found out all~~ the ~~possible information about bringing up your baby~~ and ~~save money at the same time~~. ~~Over a million people are using Wordpress to blog~~ and the ~~number~~ of ~~Wordpress users is increasing every day~~. <br><br>		The '''generalized second-price auction (GSP)''' is a non-truthful auction mechanism for multiple items. Each bidder places a bid. The highest bidder gets the first slot, the second-highest, the second slot and so on, but the highest bidder pays the price bid by the second-highest bidder, the second-highest pays the price bid by the third-highest, and so on. First conceived as a natural extension of the [[Vickrey auction]], it in fact does conserve some of the good properties of the Vickrey auction. It is used mainly in the context of keyword auctions, where sponsored search slots are sold on an auction basis. The first analyses of GSP are in the [[economics]] literature by Edelman, Ostrovsky, and Schwarz<ref name="eos"> Benjamin Edelman, Michael Ostrovsky, and Michael Schwarz: "[http://faculty-gsb.stanford.edu/ostrovsky/papers/gsp.pdf Internet Advertising and the Generalized Second-Price Auction: Selling Billions of Dollars Worth of Keywords]". American Economic Review 97(1), 2007 pp 242-259</ref> and by [[Hal Varian\|Varian]].<ref name="varian">H. R. Varian: "[http://people.ischool.berkeley.edu/~hal/Papers/2006/position.pdf Position auctions. International Journal of Industrial Organization, 2006]".</ref> It is employed by Google's [[AdWords]] technology.

	~~These folders as well as files have to copied~~ and ~~the saved~~. ~~You may either choose to link only to the~~ top~~-level category pages or the ones that contain information about your products and services~~. We ~~also help to integrate various plug~~-~~ins to expand the functionalities of the web application~~. ~~These four plugins will make this effort easier and~~ the ~~sites run effectively as well as make other widgets added~~ to a ~~site easier~~ to ~~configure~~. ~~W3C compliant HTML~~ and a ~~good open source powered by Word~~ - ~~Press CMS site is regarded as~~ the ~~prime minister~~. <br><br>~~Usually, Wordpress owners~~ selling the ~~ad space on monthly basis and this means a residual income source~~. ~~As of now, Pin2Press~~ is ~~getting ready~~ to ~~hit~~ the ~~market~~. ~~You've got invested~~ a ~~great cope of time developing~~ and ~~producing up~~ the ~~topic substance. The first thing you need~~ to ~~do is~~ to ~~choose~~ the ~~right web hosting plan. Search engine optimization pleasant picture~~ and ~~solution links suggest you will have a much better adjust at gaining considerable natural site visitors~~. <br><br>~~Whether your Word~~ - ~~Press themes~~ is ~~premium or~~ not, ~~but nowadays every theme is designed~~ with ~~widget-ready~~. ~~Cameras~~ with a ~~pentaprism~~ (as in ~~comparison~~ to ~~pentamirror~~) ~~ensure~~ that ~~little mild~~ is ~~lost before~~ it ~~strikes your eye~~, ~~however these often increase~~ the ~~cost~~ of the ~~digital camera considerably~~. ~~Enterprise~~, ~~when they plan~~ to ~~hire Word - Press developer resources still PHP~~, ~~My - SQL~~ and ~~watch with great expertise~~ in ~~codebase~~. In the ~~event you loved this information~~ and ~~you wish to receive more info regarding~~ [http://~~roaaad~~.com/~~link~~//~~wordpress_backup_5218323 wordpress backup plugin~~] ~~assure visit our website. Fast Content Update - It's easy to edit or add posts with free Wordpress websites. OSDI~~, ~~a Wordpress Development Company based on ahmedabad~~, ~~India.~~ <br>~~<br>Someone with a basic knowledge~~ of ~~setting up a website should be able to complete~~ the ~~process in a couple of minutes however even basic users should find they are able to complete~~ the ~~installation in around 20 minutes by following~~ the ~~step by step guide online~~. ~~It can run as plugin~~ and ~~you can still get to~~ that ~~whole database just~~ in ~~circumstance your webhost does not have~~ a c - ~~Panel area~~. ~~Word - Press can~~ also ~~be quickly extended however improvement API is not as potent as Joomla~~'s. ~~And~~, ~~it is better that you leave it~~ on ~~for the duration you are writing plugin code~~. ~~Your topic is going to be the basis of your site's name~~.		== Formal model ==

			Consider there are <math>n</math> bidders and <math>k < n</math> slots. Each slot has a probability of being clicked of <math>\alpha_i</math>. We can assume that top slots have a larger probability of being clicked, so:

			: <math>\alpha_1 \geq \alpha_2 \geq \cdots \geq \alpha_k. \, </math>

			We can think of <math>n-k</math> additional virtual slots with click-through-rate zero, so, <math>\alpha_i = 0</math> for <math>i > k</math>. Now, each bidder has an intrinsic value for one slot <math>v_i</math> submits a bid <math>b_i</math> indicating the maximum he is willing to pay for a slot (which is his '''bid''' '''reported valuation''' – notice it doesn't need to be the same as his '''true valuation''' <math>v_i</math>). We order the bidders by their value, let's say:

			: <math>v_1 \geq v_2 \geq \cdots \geq v_n, \, </math>

			and charge each bidder a price <math>p_i</math> (this will be 0 if they didn't win a slot). Slots are sold in a [[Pay per click\|pay-per-click]] model, so a bidder just pays for a slot if the user actually clicks in that slot. We say the utility of bidder <math>i</math> when allocated to slot <math>j</math> is <math>u_i = \alpha_j (v_i - p_i)</math>. The total [[Social welfare function\|social welfare]] from owning or selling slots is given by: <math>\sum_j \alpha_j v_{\pi(j)}</math> where <math>\pi(j)</math> is the bidder allocated to slot <math>j</math>. The total revenue is given by: <math>\sum_i \alpha_i p_i</math>

			== GSP mechanism ==

			To specify a [[Mechanism design\|mechanism]] we need to define the allocation rule (who gets which slot) and the prices paid by each bidder. In a generalized second-price auction we order the bidders by their bid and give the top slot to the highest bidder, the second top slot to the second highest bidder and so on. So, bidder <math>i</math> gets slot <math>i</math>. Each bidder pays the bid of the next highest bidder, so: <math>p_i = b_{i+1}</math>.

			== Non-truthfulness ==

			There are cases where bidding the true valuation is not a [[Nash equilibrium]]. For example, consider two slots with <math>\alpha_1 = 1</math> and <math>\alpha_2 = 0.4</math> and three bidders with valuations <math>v_1 = 7</math>, <math>v_2 = 6</math> and <math>v_3 = 1</math>. Bidding 7, 6 and 1 respectively is not a Nash equilibrium, since the first bidder could lower his bid to 5 and get the second slot for the price of 1 and increase his utility therefore.

			== Equilibria of GSP ==

			Edelman, Ostrovsky and Schwarz <ref name="eos"/> show that GSP (in the model presented above) has always an efficient equilibrium, i.e., an equilibrium maximizing social welfare, which is measured as <math>SW = \sum_i \alpha_i v_{\pi(i)}</math> where <math>\pi(i)</math> is the slot in which player <math>i</math> is allocated according to his bid (the permutation <math>\pi</math> is defined by the bid vector <math>(b_1, \dots, b_n)</math>). This equilibrium has the property that the outcome (allocation and payments) is the similar of [[VCG]]. The same papers study properties of a natural but restricted class of equilibria called envy-free equilibria. They prove that envy-free equilibria always exist and it always maximizes the social welfare - they also compare the revenue on different envy-free equilibria. Lahaie <ref name="lahaie">S. Lahaie. [http://www.cs.columbia.edu/coms6998-3/fp185-lahaie.pdf An analysis of alternative slot auction designs for sponsored search]. In EC ’06: Proceedings of the 7th ACMconference on Electronic commerce, pages 218–227</ref> studies the GSP from a Theoretical Computer Science point of view. Paes Leme and [[Éva Tardos\|Tardos]] <ref name="plt">Renato Paes Leme and Éva Tardos, Pure and Bayes-Nash Price of Anarchy for Generalized Second Price Auction, 51st Annual IEEE Symposium on Foundations of Computer Science (FOCS 2010)</ref> study the structure of the general equilibria in GSP and prove [[Price of Anarchy]]. They prove that the Price of Anarchy under a set of natural conditions is bounded by <math>1.618</math> ([[golden ratio]]). Computational analysis of this game have been performed by Thompson and Leyton-Brown.<ref name= "tl">D. R. M. Thompson and K. Leyton-Brown. Computational analysis of perfect-information position auctions. In EC ’09: Proceedings of the tenth ACM conference on Electronic commerce, pages 51–60, New York, NY, USA, 2009. ACM.</ref>

			== GSP and uncertainty ==

			The classical results due to Edelman, Ostrovsky and Schwarz <ref name="eos"/> and Varian <ref name="varian"/> hold in the [[Complete_information\|full information setting]] – when there is no uncertainty involved. Recent results as Gomes and Sweeney <ref name="gs">R. D. Gomes and K. S. Sweeney. Bayes-nash equilibria of the generalized second price auction. In EC ’09: Proceedings of the tenth ACM conference on Electronic commerce, pages 107–108, New York, NY, USA, 2009. ACM</ref> and Paes Leme and Tardos <ref name="plt"/> and also empirically by Athey and Nikipelov <ref name="an">Susan Athey and Denis Nekipelov. [http://keystonestrategy.com/publications/pdf/athey%20structural%20model%20sponsored%20search%20ad.pdf A Structural Model of Sponsored Search Advertising Auctions], Ad Auctions Workshop, 2010</ref> discuss the Bayesian version of the game - where players have beliefs about the other players, but not necessarily know the other players valuations. Gomes and Sweeney <ref name="gs"/> prove that an efficient equilibrium might not exist in the partial information setting. Paes Leme and Tardos <ref name="plt"/> prove a bound of 8 for the Bayes-Nash [[Price of Anarchy]].

			==See also==
			* [[AdWords]]
			* [[Auction theory]]

			== References ==
			{{Reflist}}

			* S. Lahaie, D. Pennock, A. Saberi, and R. Vohra. ''Algorithmic Game Theory'', chapter "Sponsored search auctions:, pages 699–716. Cambridge University Press,
			2007

			* Lecture notes on [http://www.infosci.cornell.edu/courses/info204/2007sp/kba.pdf Keyword-Based Advertisement]

			[[Category:Auction theory]]

en>Yobot: Fixed/removed {{expand}} + WP:CHECKWIKI error fixes + general fixes, removed: {{Expand|date=March 2009}} using AWB (7552)

2011-01-20T02:04:47Z

Fixed/removed {{expand}} + WP:CHECKWIKI error fixes + general fixes, removed: {{Expand|date=March 2009}} using AWB (7552)

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If an existing Word - Press code is found vulnerable, Word - Press will immediately issue an update for that. Also, you may want to opt for a more professioanl theme if you are planning on showing your site off to a high volume of potential customers each day. SEO Ultimate - I think this plugin deserves more recognition than it's gotten up till now. They found out all the possible information about bringing up your baby and save money at the same time. Over a million people are using Wordpress to blog and the number of Wordpress users is increasing every day. 

These folders as well as files have to copied and the saved. You may either choose to link only to the top-level category pages or the ones that contain information about your products and services. We also help to integrate various plug-ins to expand the functionalities of the web application. These four plugins will make this effort easier and the sites run effectively as well as make other widgets added to a site easier to configure. W3C compliant HTML and a good open source powered by Word - Press CMS site is regarded as the prime minister. Usually, Wordpress owners selling the ad space on monthly basis and this means a residual income source. As of now, Pin2Press is getting ready to hit the market. You've got invested a great cope of time developing and producing up the topic substance. The first thing you need to do is to choose the right web hosting plan. Search engine optimization pleasant picture and solution links suggest you will have a much better adjust at gaining considerable natural site visitors. Whether your Word - Press themes is premium or not, but nowadays every theme is designed with widget-ready. Cameras with a pentaprism (as in comparison to pentamirror) ensure that little mild is lost before it strikes your eye, however these often increase the cost of the digital camera considerably. Enterprise, when they plan to hire Word - Press developer resources still PHP, My - SQL and watch with great expertise in codebase. In the event you loved this information and you wish to receive more info regarding [http://roaaad.com/link//wordpress_backup_5218323 wordpress backup plugin] assure visit our website. Fast Content Update - It's easy to edit or add posts with free Wordpress websites. OSDI, a Wordpress Development Company based on ahmedabad, India. Someone with a basic knowledge of setting up a website should be able to complete the process in a couple of minutes however even basic users should find they are able to complete the installation in around 20 minutes by following the step by step guide online. It can run as plugin and you can still get to that whole database just in circumstance your webhost does not have a c - Panel area. Word - Press can also be quickly extended however improvement API is not as potent as Joomla's. And, it is better that you leave it on for the duration you are writing plugin code. Your topic is going to be the basis of your site's name.