Yongsheng Xu

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Affiliations

• Georgia State University / Andrew Young School of Policy Studies / Department of Economics
  • EDIRC entry
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Research profile

author of:

• On Measuring Multidimensional Deprivation (RePEc:aea:jeclit:v:56:y:2018:i:2:p:657-72)
  by Prasanta K. Pattanaik & Yongsheng Xu
• Growth and Equity Tradeoff in Decentralization Policy: China's Experience (RePEc:ays:ispwps:paper0216)
  by Baoyun Qiao & Jorge Martinez-Vazquez & Yongsheng Xu
• On Some Non-Equivalence Results of Ad Valorem Tax (2005) (RePEc:ays:ispwps:paper0503)
  by Sally Wallace & Daoshu Wang & Yongsheng Xu
• Pocketing and Deceiving: The Behavior of Agency in a Donor - Delivery Agency - Recipient Organization (RePEc:ays:ispwps:paper0613)
  by Baoyun Qiao & Jorge Martinez-Vazquez & Yongsheng Xu
• Self-supporting liberals and their cliques: an axiomatic characterization (RePEc:bie:wpaper:334)
  by Dimitrov, Dinko & Xu, Yongsheng
• Procedural group identification (RePEc:bie:wpaper:383)
  by Dimitrov, Dinko & Sung, Shao Chin & Xu, Yongsheng
• The Behaviour Of Solutions To Bargaining Problems On The Basis Of Solidarity (RePEc:bla:jecrev:v:59:y:2008:i:1:p:133-138)
  by Yongsheng Xu & Naoki Yoshihara
• The Choice Of Opening Prices On Ebay (RePEc:bla:manchs:v:77:y:2009:i:4:p:411-429)
  by Mikhail I. Melnik & Yongsheng Xu & James Alm
• Well‐Being, Deprivation, and the Great Recession in the U.S.: A Study in A Multidimensional Framework (RePEc:bla:revinw:v:65:y:2019:i:s1:p:s281-s306)
  by Shatakshee Dhongde & Prasanta K. Pattanaik & Yongsheng Xu
• On Inequality‐Sensitive and Additive Achievement Measures Based on Ordinal Data (RePEc:bla:revinw:v:66:y:2020:i:2:p:267-286)
  by Bénédicte Apouey & Jacques Silber & Yongsheng Xu
• On Ranking Opportunity Sets in Terms of Freedom of Choice (RePEc:ctl:louvre:1990036)
  by Prasanta K. PATTANAIK & Yongsheng XU
• Choice, Internal Consistency And Rationality (RePEc:cup:ecnphi:v:27:y:2011:i:02:p:123-149_00)
  by Bhattacharyya, Aditi & Pattanaik, Prasanta K. & Xu, Yongsheng
• On Dominance And Context-Dependence In Decisions Involving Multiple Attributes (RePEc:cup:ecnphi:v:28:y:2012:i:02:p:117-132_00)
  by Pattanaik, Prasanta K. & Xu, Yongsheng
• The Ethical Bases Of Public Policies: A Conceptual Framework (RePEc:cup:ecnphi:v:30:y:2014:i:02:p:175-194_00)
  by Pattanaik, Prasanta K. & Xu, Yongsheng
• The tradeoff between growth and equity in decentralization policy: China's experience (RePEc:eee:deveco:v:86:y:2008:i:1:p:112-128)
  by Qiao, Baoyun & Martinez-Vazquez, Jorge & Xu, Yongsheng
• Single profile of preferences with variable societies: A characterization of simple majority rule (RePEc:eee:ecolet:v:107:y:2010:i:2:p:119-121)
  by Xu, Yongsheng & Zhong, Zhen
• Symmetry-based compromise and the Nash solution to convex bargaining problems (RePEc:eee:ecolet:v:115:y:2012:i:3:p:484-486)
  by Xu, Yongsheng
• Optimization and external reference; a comparison of three axiomatic systems (RePEc:eee:ecolet:v:57:y:1997:i:1:p:57-62)
  by Gaertner, Wulf & Xu, Yongsheng
• Alternative characterizations of three bargaining solutions for nonconvex problems (RePEc:eee:gamebe:v:57:y:2006:i:1:p:86-92)
  by Xu, Yongsheng & Yoshihara, Naoki
• Corrigendum to "Alternative characterizations of three bargaining solutions for nonconvex problems" [Games Econ. Behav. 57 (2006) 86-92] (RePEc:eee:gamebe:v:61:y:2007:i:2:p:359-358)
  by Xu, Yongsheng & Yoshihara, Naoki
• Characterizations of Consequentialism and Nonconsequentialism (RePEc:eee:jetheo:v:101:y:2001:i:2:p:423-436)
  by Suzumura, Kotaro & Xu, Yongsheng
• Consequences, opportunities, and generalized consequentialism and non-consequentialism (RePEc:eee:jetheo:v:111:y:2003:i:2:p:293-304)
  by Suzumura, Kotaro & Xu, Yongsheng
• Rationalizability of choice functions by game trees (RePEc:eee:jetheo:v:134:y:2007:i:1:p:548-556)
  by Xu, Yongsheng & Zhou, Lin
• Ranking Opportunity Sets: An Axiomatic Approach (RePEc:eee:jetheo:v:63:y:1994:i:2:p:326-345)
  by Bossert Walter & Pattanaik Prasanta K. & Xu Yongsheng
• On Ranking Opportunity Sets in Economic Environments (RePEc:eee:jetheo:v:93:y:2000:i:1:p:48-71)
  by Pattanaik, Prasanta K. & Xu, Yongsheng
• Loss sharing: Characterizing a new class of rules (RePEc:eee:matsoc:v:107:y:2020:i:c:p:37-40)
  by Gaertner, Wulf & Xu, Yongsheng
• Population evaluation functions: Axiomatizations of two utilitarian principles (RePEc:eee:matsoc:v:20:y:1990:i:1:p:91-98)
  by Xu, Yongsheng
• Independent necessary and sufficient conditions for approval voting (RePEc:eee:matsoc:v:21:y:1991:i:1:p:21-29)
  by Baigent, Nick & Xu, Yongsheng
• On diversity and freedom of choice (RePEc:eee:matsoc:v:40:y:2000:i:2:p:123-130)
  by Pattanaik, Prasanta K. & Xu, Yongsheng
• On ranking compact and comprehensive opportunity sets (RePEc:eee:matsoc:v:45:y:2003:i:2:p:109-119)
  by Xu, Yongsheng
• On constrained dual recoverability theorems (RePEc:eee:matsoc:v:45:y:2003:i:2:p:143-154)
  by Suzumura, Kotaro & Xu, Yongsheng
• Procedural group identification (RePEc:eee:matsoc:v:54:y:2007:i:2:p:137-146)
  by Dimitrov, Dinko & Sung, Shao Chin & Xu, Yongsheng
• A general scoring rule (RePEc:eee:matsoc:v:63:y:2012:i:3:p:193-196)
  by Gaertner, Wulf & Xu, Yongsheng
• An Experimental Game of Loss Sharing (RePEc:exc:wpaper:2017-01)
  by Wulf Gaertner & Lars Schwettmann & Yongsheng Xu
• Freedom in Welfare Economics (RePEc:fec:journl:v:11:y:2016:i:1:p:104-122)
  by Yongsheng Xu
• On preference and Freedom (RePEc:fth:caland:95-1a)
  by Pattanaik, P.K. & Xu, Y.
• Unknown item RePEc:got:cegedp:49 (book)
• An Interview with Nick Baigent (RePEc:hal:journl:hal-01456106)
  by Constanze Binder & Miriam Teschl & Yongsheng Xu
• Individual and Collective Choice and Social Welfare (RePEc:hal:journl:hal-01457320)
  by Constanze Binder & Giulio Codognato & Miriam Teschl & Yongsheng Xu
• On Inequality‐Sensitive and Additive Achievement Measures Based on Ordinal Data (RePEc:hal:journl:halshs-02297720)
  by Bénédicte Apouey & Jacques Silber & Yongsheng Xu
• On Inequality‐Sensitive and Additive Achievement Measures Based on Ordinal Data (RePEc:hal:pseptp:halshs-02297720)
  by Bénédicte Apouey & Jacques Silber & Yongsheng Xu
• The Walrasian Distribution of Opportunity Sets : An Axiomatic Characterization (RePEc:hit:ccesdp:39)
  by Tadenuma, Koichi & 蓼沼, 宏一 & Xu, Yongsheng
• Proportional Nash solutions - A new and procedural analysis of nonconvex bargaining problems (RePEc:hit:ccesdp:42)
  by Xu, Yongsheng & Yoshihara, Naoki & 吉原, 直毅
• Envy-Free Configurations in the Market Economy (RePEc:hit:econdp:2001-07)
  by Tadenuma, Koichi & Xu, Yongsheng
• The Walrasian Distribution of Opportunity Sets : An Axiomatic Characterization (RePEc:hit:econdp:2010-16)
  by Tadenuma, Koichi & 蓼沼, 宏一 & Xu, Yongsheng
• Non‐Discrimination and the Pareto Principle (RePEc:hit:ecorev:v:51:y:2000:i:1:p:54-60)
  by Xu, Yongsheng
• The Health Equivalent Adjusted Level (HEAL): Taking an Ordinal Approach to the Measurement of a Society's Health Achievements (RePEc:hit:hiasdp:hias-e-31)
  by SILBER, Jacques & XU, Yongsheng
• Extensions of the Fundamental Welfare Theorems in a Non-welfaristic Framework (RePEc:hit:hitjec:v:53:y:2012:i:1:p:107-120)
  by Tadenuma, Koichi & Xu, Yongsheng
• Rationality and Solutions to Nonconvex Bargaining Problems: Rationalizable, Asymmetric and Nash Solutions (RePEc:hit:hituec:551)
  by Xu, Yongsheng & Yoshihara, Naoki
• Proportional Nash solutions - A new and procedural analysis of nonconvex bargaining problems (RePEc:hit:hituec:552)
  by Xu, Yongsheng & Yoshihara, Naoki
• Rationality and Solutions to Nonconvex Bargaining Problems: Rationalizability and Nash Solutions (RePEc:hit:hituec:580)
  by Xu, Yongsheng & Yoshihara, Naoki
• An Equitable Nash Solution to Nonconvex Bargaining Problems (RePEc:hit:hituec:680)
  by Xu, Yongsheng & Yoshihara, Naoki
• Does dynamic market competition with technological innovation leave no one behind? (RePEc:hit:hituec:699)
  by Xu, Yongsheng & Yoshihara, Naoki
• Efficiency Invites Divide and Coercion in the Age of Increasing Returns to Scale (RePEc:hit:hituec:700)
  by Xu, Yongsheng & Yoshihara, Naoki
• Nonconvex Bargaining Problems: Some Recent Developments (RePEc:hit:hituec:715)
  by Xu, Yongsheng & Yoshihara, Naoki
• Characterizations of Consenquentialism and Non-consequentialism (RePEc:hit:hituec:a365)
  by Kotaro Suzumura & Yongsheng Xu
• Welfarist-Consequentialism, Similarity of Attitudes and Arrow's Gerneral Impossibility Theorem (RePEc:hit:hituec:a366)
  by Kotaro Suzumura & Yongsheng Xu
• Recoverability of Choice Functions and Binary Relations: Some Duality Results (RePEc:hit:hituec:a422)
  by Kotaro Suzumura & Yongsheng Xu
• A New Insight into Three Bargaining Solutions in Convex Problems (RePEc:hit:hituec:a453)
  by Xu, Yongsheng & Yoshihara, Naoki
• Nonconvex bargaining problems (RePEc:hit:hituec:a454)
  by Xu, Yongsheng & Yoshihara, Naoki
• Axiomatic barganing theory on opportunity assignments (RePEc:hit:hituec:a473)
  by Xu, Yongsheng & Yoshihara, Naoki
• The behavior of solutions to bargaining problems on the basis of solidarity (RePEc:hit:hituec:a474)
  by Xu, Yongsheng & Yoshihara, Naoki
• Bargaining Theory over Opportunity Assignments and the Egalitarian Solution (RePEc:hit:hituec:a517)
  by Xu, Yongsheng & Yoshihara, Naoki
• Rationality and the Nash Solution to Non-convex Bargaining Problems (RePEc:hit:hituec:a537)
  by Xu, Yongsheng & Yoshihara, Naoki & 吉原, 直毅 & ヨシハラ, ナオキ
• On Dominance and Context-dependence in Multi-attribute Decisions (RePEc:hit:piecis:397)
  by Pattanaik, Prasanta K. & Xu, Yongsheng
• On Constrained Dual Recoverability Theorems (RePEc:hit:piedp1:123)
  by Suzumura, Kotaro & Xu, Yongsheng
• Characterizations of Consequentialism and Non-consequentialism (RePEc:hit:piedp1:3)
  by Suzumura, Kotaro & Xu, Yongsheng
• Envy-Free Configurations in the Market Economy (RePEc:hit:piedp1:31)
  by Tadenuma, Koichi & Xu, Yongsheng
• Welfarist-Consequentialism, Similarity of Attitudes and Arrow's Gerneral Impossibility Theorem (RePEc:hit:piedp1:4)
  by Suzumura, Kotaro & Xu, Yongsheng
• The Fundamental Theorems of Welfare Economics in a Non-Welfaristic Approach (RePEc:hit:piedp1:48)
  by Tadenuma, Koichi & Xu, Yongsheng
• Consequences, Opportunities, and Generalized Consequentialism and Non-consequentialism (RePEc:hit:piedp1:5)
  by Suzumura, Kotaro & Xu, Yongsheng
• Consequentialism and Non-Consequentialism: The Axiomatic Approach (RePEc:hit:piedp2:299)
  by Suzumura, Kotaro & Xu, Yongsheng
• On the Possibility of Continuous, Paretian and Egalitarian Evaluation of Infinite Utility Streams (RePEc:hit:piedp2:322)
  by Hara, Chiaki & Shinotsuka, Tomoichi & Suzumura, Kotaro & Xu, Yongsheng
• The Walrasian Distribution of Opportunity Sets: An Axiomatic Characterization (RePEc:hst:ghsdps:gd10-158)
  by Koichi Tadenuma & Yongsheng Xu
• Double taxation and tax deduction: A comparison (RePEc:kap:itaxpf:v:3:y:1996:i:1:p:45-56)
  by William Oakland & Yongsheng Xu
• On a new class of measures for health inequality based on ordinal data (RePEc:kap:jecinq:v:13:y:2015:i:3:p:465-477)
  by Guangming Lv & Yang Wang & Yongsheng Xu
• Binary data, hierarchy of attributes, and multidimensional deprivation (RePEc:kap:jecinq:v:14:y:2016:i:4:d:10.1007_s10888-016-9336-4)
  by Shatakshee Dhongde & Yi Li & Prasanta K. Pattanaik & Yongsheng Xu
• Endogenous information quality: A job-assignment application (RePEc:kap:jeczfn:v:65:y:1997:i:2:p:163-180)
  by David Malueg & Yongsheng Xu
• Information Evaluation under Nonadditive Expected Utility (RePEc:kap:jrisku:v:3:y:1990:i:3:p:261-75)
  by Lavalle, Irving H & Xu, Yongsheng
• On Preference and Freedom (RePEc:kap:theord:v:44:y:1998:i:2:p:173-198)
  by Prasanta Pattanaik & Yongsheng Xu
• An equitable Nash solution to nonconvex bargaining problems (RePEc:kch:wpaper:sdes-2018-11)
  by Yongsheng Xu & Naoki Yoshihara
• Rawlsian versus Utilitarian: Teachers' Incentives and the Distribution of Student Performance (RePEc:mhr:jinste:urn:sici:0932-4569(201809)174:3_548:rvutia_2.0.tx_2-f)
  by Yongzheng Liu & Yongsheng Xu
• The Measurement of Diversity (RePEc:mtl:montde:2001-17)
  by BOSSERT, Walter & PATTANAIK, Prasanta K. & XU, Yongsheng
• Similarity of Options and the Measurement of Diversity (RePEc:mtl:montde:2002-11)
  by BOSSERT, Walter & PATTANAIK, Prasanta K. & XU, Yongsheng
• The Measurement of Diversity (RePEc:mtl:montec:2001-17)
  by Bossert, W. & Pattanaik, P.K. & Xu, Y.
• On Preference and Freedom (RePEc:not:notecp:96/1)
  by Prasanta K. Pattanaik & Yongsheng Xu,
• Rationality and External Reference (RePEc:not:notecp:96/17)
  by Wulf Gaertner & Yongsheng Xu,
• Endogenous Information Quality: A Job-Assignment Application (RePEc:not:notecp:96/4)
  by David A. Maleug & Yongsheng Xu,
• On Diversity and Freedom of Choice (RePEc:not:notecp:97/18)
  by Prasanta K. Pattanaik & Yongsheng Xu,
• On the Structure of Choice Under Different External References (RePEc:not:notecp:97/19)
  by Wulf Gaertner & Yongsheng Xu,
• Minimal relativism, dominance, and standard of living comparisons based on functionings (RePEc:oup:oxecpp:v:59:y:2007:i:2:p:354-374)
  by Prasanta K. Pattanaik & Yongsheng Xu
• On measuring deprivation and living standards of societies in a multi-attribute framework (RePEc:oup:oxecpp:v:64:y:2012:i:1:p:43-56)
  by Prasanta K. Pattanaik & Sanjay G. Reddy & Yongsheng Xu
• Pareto Principle and Intergenerational Equity: Immediate Impatience, Universal Indifference and Impossibility (RePEc:pal:intecp:978-0-230-23676-9_7)
  by Yongsheng Xu
• Against the proportionality principle: Experimental findings on bargaining over losses (RePEc:plo:pone00:0218805)
  by Wulf Gaertner & Richard Bradley & Yongsheng Xu & Lars Schwettmann
• Similarity of Options and the Measurement of Diversity (RePEc:sae:jothpo:v:15:y:2003:i:4:p:405-421)
  by Walter Bossert & Prasanta K. Pattanaik & Yongsheng Xu
• Cost-sharing Rules and Efficient Provisions of Public Goods (RePEc:sae:miceco:v:1:y:2013:i:2:p:235-241)
  by Yongsheng Xu & Li Zhang & Xinye Zheng
• Rationality And External Reference (RePEc:sae:ratsoc:v:11:y:1999:i:2:p:169-185)
  by Wulf Gaertner & Yongsheng Xu
• Choice, internal consistency, and rationality (RePEc:shs:wpaper:1011)
  by Aditi Bhattacharyya & Prasanta K. Pattanaik & Yongsheng Xu
• Nonconvex Bargaining Problems: Some Recent Developments (RePEc:spr:homoec:v:37:y:2020:i:1:d:10.1007_s41412-020-00098-6)
  by Yongsheng Xu & Naoki Yoshihara
• Binary data, hierarchy of attributes, and multidimensional deprivation (RePEc:spr:joecin:v:14:y:2016:i:4:d:10.1007_s10888-016-9336-4)
  by Shatakshee Dhongde & Yi Li & Prasanta K. Pattanaik & Yongsheng Xu
• On the structure of choice under different external references (RePEc:spr:joecth:v:14:y:1999:i:3:p:609-620)
  by Wulf Gaertner & Yongsheng Xu
• Choice under complete uncertainty: axiomatic characterizations of some decision rules (RePEc:spr:joecth:v:16:y:2000:i:2:p:295-312)
  by Prasanta K. Pattanaik & Yongsheng Xu & Walter Bossert
• Functioning, capability and the standard of living - an axiomatic approach (RePEc:spr:joecth:v:20:y:2002:i:2:p:387-399)
  by Yongsheng Xu
• Procedural choice (RePEc:spr:joecth:v:24:y:2004:i:2:p:335-349)
  by Wulf Gaertner & Yongsheng Xu
• On the Mean of Squared Deprivation Gaps (RePEc:spr:joecth:v:34:y:2008:i:1:p:181-187)
  by Achin Chakraborty & Prasanta Pattanaik & Yongsheng Xu
• A new class of measures of the standard of living based on functionings (RePEc:spr:joecth:v:35:y:2008:i:2:p:201-215)
  by Wulf Gaertner & Yongsheng Xu
• An equitable Nash solution to nonconvex bargaining problems (RePEc:spr:jogath:v:48:y:2019:i:3:d:10.1007_s00182-019-00658-4)
  by Yongsheng Xu & Naoki Yoshihara
• On rationalizability of choice functions: A characterization of the median (RePEc:spr:sochwe:v:16:y:1999:i:4:p:629-638)
  by Wulf Gaertner & Yongsheng Xu
• Recoverability of choice functions and binary relations: some duality results (RePEc:spr:sochwe:v:21:y:2003:i:1:p:21-37)
  by Kotaro Suzumura & Yongsheng Xu
• Welfarist-consequentialism, similarity of attitudes, and Arrow’s general impossibility theorem (RePEc:spr:sochwe:v:22:y:2004:i:1:p:237-251)
  by Kotaro Suzumura & Yongsheng Xu
• On ranking linear budget sets in terms of freedom of choice (RePEc:spr:sochwe:v:22:y:2004:i:1:p:281-289)
  by Yongsheng Xu
• Continuity and egalitarianism in the evaluation of infinite utility streams (RePEc:spr:sochwe:v:31:y:2008:i:2:p:179-191)
  by Chiaki Hara & Tomoichi Shinotsuka & Kotaro Suzumura & Yongsheng Xu
• Essential alternatives and freedom rankings (RePEc:spr:sochwe:v:35:y:2010:i:4:p:669-685)
  by Clemens Puppe & Yongsheng Xu
• On thoughtfulness and generosity in sequential decisions (RePEc:spr:sochwe:v:37:y:2011:i:4:p:707-715)
  by Fang Tang & Yongsheng Xu
• Reference-dependent rankings of sets in characteristics space (RePEc:spr:sochwe:v:37:y:2011:i:4:p:717-728)
  by Wulf Gaertner & Yongsheng Xu
• Distributions of the budget sets: an axiomatic analysis (RePEc:spr:sochwe:v:48:y:2017:i:1:d:10.1007_s00355-016-0961-4)
  by Koichi Tadenuma & Yongsheng Xu
• Institutions and their ethical evaluation (RePEc:spr:sochwe:v:54:y:2020:i:2:d:10.1007_s00355-019-01224-3)
  by Prasanta K. Pattanaik & Yongsheng Xu
• Ordinal Distance, Dominance, and the Measurement of Diversity (RePEc:spr:stcchp:978-3-540-79832-3_14)
  by Prasanta K. Pattanaik & Yongsheng Xu
• Axiomatizations of Approval Voting (RePEc:spr:stcchp:978-3-642-02839-7_5)
  by Yongsheng Xu
• Introduction (RePEc:spr:stcchp:978-3-662-46439-7_1)
  by Constanze Binder & Giulio Codognato & Miriam Teschl & Yongsheng Xu
• An Interview with Nick Baigent (RePEc:spr:stcchp:978-3-662-46439-7_19)
  by Constanze Binder & Miriam Teschl & Yongsheng Xu
• Rationality and Context-Dependent Preferences (RePEc:spr:stcchp:978-3-662-46439-7_4)
  by Prasanta K. Pattanaik & Yongsheng Xu
• Single-Profile Choice Functions and Variable Societies: Characterizing Approval Voting (RePEc:spr:stcchp:978-3-662-46439-7_9)
  by Hanji Wu & Yongsheng Xu & Zhen Zhong
• Rational Choice and Social Welfare (RePEc:spr:stchwe:978-3-540-79832-3)
  by None
• Individual and Collective Choice and Social Welfare (RePEc:spr:stchwe:978-3-662-46439-7)
  by None
• Capability Sets as the Basis of a New Measure of Human Development (RePEc:taf:jhudca:v:7:y:2006:i:3:p:311-321)
  by Wulf Gaertner & Yongsheng Xu
• Procedural Group Identification (RePEc:tiu:tiucen:4679f50d-350f-4c56-b228-9b8837ea438a)
  by Dimitrov, D.A. & Sung, S.C. & Xu, Y.
• Procedural Group Identification (RePEc:tiu:tiutis:4679f50d-350f-4c56-b228-9b8837ea438a)
  by Dimitrov, D.A. & Sung, S.C. & Xu, Y.
• Measuring Inequality, Poverty, Growth And Welfare Via The Use Of Asset Indexes: The Case Of Armenia, Azerbaijan And Georgia (RePEc:wsi:serxxx:v:65:y:2020:i:supp01:n:s0217590819440016)
  by Joseph Deutsch & Jacques Silber & Yongsheng Xu & Guanghua Wan
• Socio-Economic Groups, Upward And Downward Mobility: An Axiomatic Framework And Income Mobility In China From 1989–2011 (RePEc:wsi:serxxx:v:65:y:2020:i:supp01:n:s0217590819440065)
  by Lezheng Liu & Baoyun Qiao & Xiaoyu Wu & Yongsheng Xu
• A new measure of the standard of living based on functionings (RePEc:zbw:cegedp:49)
  by Gaertner, Wulf & Xu, Yongsheng