ebook img

Mechanism Design: A Linear Programming Approach PDF

185 Pages·2011·0.784 MB·English
Save to my drive
Quick download
Download
Most books are stored in the elastic cloud where traffic is expensive. For this reason, we have a limit on daily download.

Preview Mechanism Design: A Linear Programming Approach

This page intentionally left blank Mechanism Design Mechanism design is an analytical framework for thinking clearly and carefully aboutexactlywhatagiveninstitutioncanachievewhentheinformationnecessary tomakedecisionsisdispersedandprivatelyheld.Thisbookprovidesanaccount oftheunderlyingmathematicsofmechanismdesignbasedonlinearprogramming. Threeadvantagescharacterizetheapproach.Thefirstissimplicity:argumentsbased onlinearprogrammingarebothelementaryandtransparent.Thesecondisunity: themachineryoflinearprogrammingprovidesawaytounifyresultsfromdisparate areasofmechanismdesign.Thethirdisreach:thetechniqueofferstheabilityto solveproblemsthatappeartobebeyondthereachoftraditionalmethods.Noclaim is made that the approach advocated should supplant traditional mathematical machinery. Rather, the approach represents an addition to the tools of the eco- nomictheoristwhoproposestounderstandeconomicphenomenathroughthelens ofmechanismdesign. RakeshV.VohraistheJohnL.andHelenKelloggProfessorofManagerialEco- nomicsandDecisionSciencesattheKelloggSchoolofManagement,Northwest- ernUniversity,whereheisalsoDirectoroftheCenterforMathematicalStudiesin EconomicsandManagementScience.HepreviouslytaughtattheFisherSchoolof Business,OhioStateUniversity,andistheauthorofAdvancedMathematicalEco- nomics(2005).ProfessorVohrahasalsocompletedamanuscriptontheprinciples of pricing with Lakshman Krishnamurthi, Professor of Marketing at the Kellogg School.ProfessorVohrareceivedhisdoctorateinmathematicsfromtheUniversity ofMaryland. EconometricSocietyMonographs Editors: RosaL.Matzkin,UniversityofCalifornia,LosAngeles GeorgeJ.Mailath,UniversityofPennsylvania TheEconometricSocietyisaninternationalsocietyfortheadvancementofeconomictheoryin relationto statistics and mathematics. The EconometricSociety Monographseries is designed to promote the publication of original research contributions of high quality in mathematical economicsandtheoreticalandappliedeconometrics. Othertitlesintheseries: G.S.Maddala,Limiteddependentandqualitativevariablesineconometrics,9780521241434, 9780521338257 GerardDebreu,Mathematicaleconomics:TwentypapersofGerardDebreu,9780521237369, 9780521335614 Jean-MichelGrandmont,Moneyandvalue:Areconsiderationofclassicalandneoclassical monetaryeconomics,9780521251419,9780521313643 FranklinM.Fisher,Disequilibriumfoundationsofequilibriumeconomics,9780521378567 AndreuMas-Colell,Thetheoryofgeneralequilibrium:Adifferentiableapproach, 9780521265140,9780521388702 TrumanF.Bewley,Editor,Advancesineconometrics–FifthWorldCongress(VolumeI), 9780521467261 TrumanF.Bewley,Editor,Advancesineconometrics–FifthWorldCongress(VolumeII), 9780521467254 Herve´Moulin,Axiomsofcooperativedecisionmaking,9780521360555,9780521424585 L.G.Godfrey,Misspecificationtestsineconometrics:TheLagrangemultiplierprincipleand otherapproaches,9780521424592 TonyLancaster,Theeconometricanalysisoftransitiondata,978052143789 AlvinE.RothandMarildaA.OlivieraSotomayor,Editors,Two-sidedmatching:Astudyin game-theoreticmodelingandanalysis,9780521437882 WolfgangHa¨rdle,Appliednonparametricregression,9780521429504 Jean-JacquesLaffont,Editor,Advancesineconomictheory–SixthWorldCongress(VolumeI), 9780521484596 Jean-JacquesLaffont,Editor,Advancesineconomictheory–SixthWorldCongress(VolumeII), 9780521484602 HalbertWhite,Estimation,inferenceandspecification,9780521252805,9780521574464 ChristopherSims,Editor,Advancesineconometrics–SixthWorldCongress(VolumeI), 9780521444590,9780521566100 ChristopherSims,Editor,Advancesineconometrics–SixthWorldCongress(VolumeII), 9780521444606,9780521566094 RogerGuesnerie,Acontributiontothepuretheoryoftaxation,9780521629560 DavidM.KrepsandKennethF.Wallis,Editors,Advancesineconomicsandeconometrics– SeventhWorldCongress(VolumeI),9780521589833 DavidM.KrepsandKennethF.Wallis,Editors,Advancesineconomicsandeconometrics– SeventhWorldCongress(VolumeII),9780521589826 DavidM.KrepsandKennethF.Wallis,Editors,Advancesineconomicsandeconometrics– SeventhWorldCongress(VolumeIII),9780521580137,9780521589819 DonaldP.Jacobs,EhudKalai,andMortonI.Kamien,Editors,Frontiersofresearchineconomic theory:TheNancyL.SchwartzMemorialLectures,1983–1997,9780521632225, 9780521635387 A.ColinCameronandPravinK.Trivedi,Regressionanalysisofcountdata,9780521632010, 9780521635677 SteinarStrom,Editor,Econometricsandeconomictheoryinthe20thcentury:TheRagnarFrisch CentennialSymposium,9780521633239,9780521633659 Continuedonpagefollowingtheindex Mechanism Design A Linear Programming Approach Rakesh V. Vohra NorthwesternUniversity,Illinois cambridgeuniversitypress Cambridge,NewYork,Melbourne,Madrid,CapeTown, Singapore,Sa˜oPaulo,Delhi,Tokyo,MexicoCity CambridgeUniversityPress 32AvenueoftheAmericas,NewYork,NY10013-2473,USA www.cambridge.org Informationonthistitle:www.cambridge.org/9780521179461 (cid:2)c RakeshV.Vohra2011 Thispublicationisincopyright.Subjecttostatutoryexception andtotheprovisionsofrelevantcollectivelicensingagreements, noreproductionofanypartmaytakeplacewithoutthewritten permissionofCambridgeUniversityPress. Firstpublished2011 PrintedintheUnitedStatesofAmerica AcatalogrecordforthispublicationisavailablefromtheBritishLibrary. LibraryofCongressCataloginginPublicationdata Vohra,RakeshV. Mechanismdesign:alinearprogrammingapproach/RakeshV.Vohra. p. cm.–(EconometricSocietymonographs;47) Includesbibliographicalreferencesandindex. ISBN978-1-107-00436-8(hardback)–ISBN978-0-521-17946-1(paperback) 1. Decision making – Linear programming. 2. Organizational behavior – Mathematical models. 3.Machinetheory. I.Title. HD30.23.V637 2011 658.4(cid:2)033–dc22 2011009042 ISBN978-1-107-00436-8Hardback ISBN978-0-521-17946-1Paperback CambridgeUniversityPresshasnoresponsibilityforthepersistenceoraccuracyofURLs for external or third-party Internet Web sites referred to in this publication and does not guaranteethatanycontentonsuchWebsitesis,orwillremain,accurateorappropriate. “Economists,unlikeLawyers,believeyouhavetopaypeopletotell thetruth.” MortonKamien “Ifyouweretoreciteevenasinglepageintheopenair,birdswould fallstunnedfromthesky.” CliveJames

See more

The list of books you might like

Most books are stored in the elastic cloud where traffic is expensive. For this reason, we have a limit on daily download.