防策略性社會(huì)選擇機(jī)制設(shè)計(jì)的探討.pdf

1、西南交通大學(xué)碩士學(xué)位論文防策略性社會(huì)選擇機(jī)制設(shè)計(jì)的探討姓名：張鄰申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：宋振明20050301西南交通大學(xué)碩士研究生學(xué)位論文第l|頁(yè)Abstract‘【heGlbbard—SatterthwaiteTheoremstatesthatwhentheretSnestrictiononadmissiblepreferences，onlydictatorialrulessatisfystrategyproofn

2、essTheunrestricteddomainassumption，however，doesnotholdinmosteconomicenvironmentsofinterestThemainobjectiveofthisthesisistOinvestigatethepossibilityofdesigningstrategyproofrulesinsuchrestrictedenvironmentsThethesismainlyc

3、onsistsofthefollowing：1Westudy2agentexchangeeconomiesWeintroducegeneralpropertyIofpreferencedomainsandshowthatgivenanydomainsatisfyingpropertyIdictatorialrulesaretheonlyefficientandstrategy—proofrules2Wefocusonn—agentexc

4、hangeeconomiesWeshowthatdictatorialaretheonlyrulessatisfyingefficiency，continuity，andstrategy—proofness，whenthedomainsatisfiespropertyBWeproofthateveryefficientandcontinuousruleis“diagonallydictatorial一，andproofthatarule

5、isefficient，continuousmadstrategy—proofifandonlyifitisdictatorial，whenthedomainsarisfypropertyB3Weconsidertheproblemofchoosingasubsetofasetofindivisibleobjects(publicprojects，laws，etc)Whenpreferencesare“separable”，wechar

6、acterizestrategyproof‘votingrules”satisfyingseveralcombinationsofthefollowingaxioms：null—independence，efficiency，votersovereignty，anonymity，andneutralityWeconcludethatavotingrulesatisfiesstrategy—proofness，null—independe

7、nceandefficiencyifandonlyifitisdictatorial，andconcludethatavotingrulesatisfiesstrategy—proofness，null—independenceandweakefficiencyifandonlyifitisdictatorialruleinClassm’whenthedomainsatisfiespropertyPandsatisfiespropert