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Statistical Inference in Competitive Equilibrium
Statistical Inference in Competitive Equilibrium
Statistical Inference in Competitive Equilibrium

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자료유형  
 학위논문 서양
최종처리일시  
20260202103506
ISBN  
9798280754805
DDC  
510
저자명  
Liao, Luofeng.
서명/저자  
Statistical Inference in Competitive Equilibrium
발행사항  
[Sl] : Columbia University, 2025
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2025
형태사항  
234 p
주기사항  
Source: Dissertations Abstracts International, Volume: 86-12, Section: A.
주기사항  
Advisor: Kroer, Christian.
학위논문주기  
Thesis (Ph.D.)--Columbia University, 2025.
초록/해제  
요약This thesis studies statistical inference and A/B testing in settings with interference arising from competitive market effects. We study these effects in two fundamental market equilibrium models: the linear Fisher market (LFM) equilibrium and first-price pacing equilibrium (FPPE). LFM arises from fair resource allocation systems (such as physical allocation of food to food banks) and more generally distribution systems (such as user attention to different types of social media notifications on Instagram, or jobseekers' attention to job posts in LinkedIn). For LFM, we assume that the observed data is captured by the classical finite-dimensional Fisher market equilibrium, and its steady-state behavior is modeled by a continuous limit Fisher market. The second type of equilibrium we study, FPPE, arises from internet advertising applications, where advertisers are constrained by budgets and advertising opportunities are sold via first-price auctions. Pacing is a prevalent approach for managing advertiser budgets, where the platform assigns each advertiser an autobidder that controls expenditure by adaptively shading bids. For platforms that use pacing-based methods to smooth out the spending of advertisers, FPPE provides a steady-state description of the outcome of pacing-based markets.In Chapter 1 we develop a theory of statistical inference for LFMs and FPPE. In Chapter 2 we investigate theoretically sound bootstrap approaches for LFM and FPPE. In Chapter 3 we apply the theory to reduce interference bias in parallel A/B tests on ad auction platforms.
일반주제명  
Mathematics
일반주제명  
Information science
키워드  
Linear Fisher market
키워드  
First-price pacing equilibrium
키워드  
Statistical inference
키워드  
Competitive market effects
기타저자  
Columbia University Operations Research
기본자료저록  
Dissertations Abstracts International. 86-12A.
전자적 위치 및 접속  
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■040    ▼aMiAaPQ▼cMiAaPQ
■0820  ▼a510
■1001  ▼aLiao,  Luofeng.
■24510▼aStatistical  Inference  in  Competitive  Equilibrium
■260    ▼a[Sl]▼bColumbia  University▼c2025
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2025
■300    ▼a234  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  86-12,  Section:  A.
■500    ▼aAdvisor:  Kroer,  Christian.
■5021  ▼aThesis  (Ph.D.)--Columbia  University,  2025.
■520    ▼aThis  thesis  studies  statistical  inference  and  A/B  testing  in  settings  with  interference  arising  from  competitive  market  effects.  We  study  these  effects  in  two  fundamental  market  equilibrium  models:  the  linear  Fisher  market  (LFM)  equilibrium  and  first-price  pacing  equilibrium  (FPPE).  LFM  arises  from  fair  resource  allocation  systems  (such  as  physical  allocation  of  food  to  food  banks)  and  more  generally  distribution  systems  (such  as  user  attention  to  different  types  of  social  media  notifications  on  Instagram,  or  jobseekers'  attention  to  job  posts  in  LinkedIn).  For  LFM,  we  assume  that  the  observed  data  is  captured  by  the  classical  finite-dimensional  Fisher  market  equilibrium,  and  its  steady-state  behavior  is  modeled  by  a  continuous  limit  Fisher  market.  The  second  type  of  equilibrium  we  study,  FPPE,  arises  from  internet  advertising  applications,  where  advertisers  are  constrained  by  budgets  and  advertising  opportunities  are  sold  via  first-price  auctions.  Pacing  is  a  prevalent  approach  for  managing  advertiser  budgets,  where  the  platform  assigns  each  advertiser  an  autobidder  that  controls  expenditure  by  adaptively  shading  bids.  For  platforms  that  use  pacing-based  methods  to  smooth  out  the  spending  of  advertisers,  FPPE  provides  a  steady-state  description  of  the  outcome  of  pacing-based  markets.In  Chapter  1  we  develop  a  theory  of  statistical  inference  for  LFMs  and  FPPE.  In  Chapter  2  we  investigate  theoretically  sound  bootstrap  approaches  for  LFM  and  FPPE.  In  Chapter  3  we  apply  the  theory  to  reduce  interference  bias  in  parallel  A/B  tests  on  ad  auction  platforms.
■590    ▼aSchool  code:  0054.
■650  4▼aMathematics
■650  4▼aInformation  science
■653    ▼aLinear  Fisher  market
■653    ▼aFirst-price  pacing  equilibrium
■653    ▼aStatistical  inference
■653    ▼aCompetitive  market  effects
■690    ▼a0796
■690    ▼a0338
■690    ▼a0723
■690    ▼a0405
■71020▼aColumbia  University▼bOperations  Research.
■7730  ▼tDissertations  Abstracts  International▼g86-12A.
■790    ▼a0054
■791    ▼aPh.D.
■792    ▼a2025
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17357399▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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