{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,27]],"date-time":"2025-09-27T00:05:35Z","timestamp":1758931535056,"version":"3.44.0"},"reference-count":46,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2025,1,25]],"date-time":"2025-01-25T00:00:00Z","timestamp":1737763200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,1,25]],"date-time":"2025-01-25T00:00:00Z","timestamp":1737763200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soc Choice Welf"],"published-print":{"date-parts":[[2025,9]]},"DOI":"10.1007\/s00355-024-01576-5","type":"journal-article","created":{"date-parts":[[2025,1,25]],"date-time":"2025-01-25T05:55:16Z","timestamp":1737784516000},"page":"387-426","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Inequality imbalance and its orderings based on relative and positional transfer sensitivity principles"],"prefix":"10.1007","volume":"65","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1652-7061","authenticated-orcid":false,"given":"Masato","family":"Okamoto","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,1,25]]},"reference":[{"key":"1576_CR1","doi-asserted-by":"publisher","first-page":"235","DOI":"10.1007\/s00355-008-0354-4","volume":"33","author":"R Aaberge","year":"2009","unstructured":"Aaberge R (2009) Ranking intersecting Lorenz curves. Soc Choice Welf 33:235\u2013259","journal-title":"Soc Choice Welf"},{"key":"1576_CR2","unstructured":"Alvaredo F, Atkinson AB, Blanchet T, Chancel L, Bauluz L, Fisher-Post M, Flores I, Garbinti B, Goupille-Lebret J, Mart\u00ednez-Toledano C, Morgan M, Neef T, Piketty T, Robilliard AS, Saez E, Yang L, Zucman G (2021) Distributional national accounts guidelines: methods and concepts used in the World Inequality Database. World Inequality Lab."},{"key":"1576_CR3","doi-asserted-by":"publisher","first-page":"1411","DOI":"10.1111\/rssa.12463","volume":"182","author":"S Angel","year":"2019","unstructured":"Angel S, Disslbacher F, Humer S, Schnetzer M (2019) What did you really earn last year?: Explaining measurement error in survey income data. J R Stat Soc Ser A 182:1411\u20131437","journal-title":"J R Stat Soc Ser A"},{"key":"1576_CR4","doi-asserted-by":"publisher","first-page":"244","DOI":"10.1016\/0022-0531(70)90039-6","volume":"2","author":"AB Atkinson","year":"1970","unstructured":"Atkinson AB (1970) On the measurement of inequality. J Econ Theory 2:244\u2013263","journal-title":"J Econ Theory"},{"key":"1576_CR5","doi-asserted-by":"publisher","first-page":"277","DOI":"10.1007\/s10888-007-9075-7","volume":"6","author":"AB Atkinson","year":"2008","unstructured":"Atkinson AB (2008) More on the measurement of inequality. J Econ Inequal 6:277\u2013283","journal-title":"J Econ Inequal"},{"key":"1576_CR6","doi-asserted-by":"publisher","first-page":"277","DOI":"10.1002\/sim.4114","volume":"30","author":"LN Borrell","year":"2011","unstructured":"Borrell LN, Talih M (2011) A symmetrized Theil index measure of health disparities: an example using dental caries in U.S. children and adolescents. Stat Med 30:277\u2013290","journal-title":"Stat Med"},{"key":"1576_CR7","doi-asserted-by":"publisher","first-page":"F24","DOI":"10.1111\/ecoj.12334","volume":"127","author":"M Brewer","year":"2017","unstructured":"Brewer M, Etheridge B, O\u2019Dea C (2017) Why are households that report the lowest income so well-off? Econ J 127:F24\u2013F49","journal-title":"Econ J"},{"key":"1576_CR8","doi-asserted-by":"publisher","first-page":"301","DOI":"10.1093\/oep\/gpx041","volume":"70","author":"RV Burkhauser","year":"2018","unstructured":"Burkhauser RV, H\u00e9rault N, Jenkins SP, Wilkins R (2018) Top incomes and inequality in the UK: reconciling estimation from household survey and tax return data. Oxf Econ Pap 70:301\u2013328","journal-title":"Oxf Econ Pap"},{"key":"1576_CR9","doi-asserted-by":"publisher","first-page":"583","DOI":"10.1016\/j.physa.2016.09.027","volume":"466","author":"D Chatterjee","year":"2017","unstructured":"Chatterjee D, Ghosh A, Chakrabarti BK (2017) Socio-economic inequality relationship between Gini and Kolkata indices. Physica A 466:583\u2013595","journal-title":"Physica A"},{"key":"1576_CR10","doi-asserted-by":"publisher","first-page":"375","DOI":"10.1007\/s00355-006-0170-7","volume":"28","author":"WH Chiu","year":"2007","unstructured":"Chiu WH (2007) Intersecting Lorenz curves, the degree of downside inequality aversion, and tax reforms. Soc Choice Welf 28:375\u2013399","journal-title":"Soc Choice Welf"},{"key":"1576_CR11","doi-asserted-by":"publisher","first-page":"487","DOI":"10.1007\/s00355-020-01288-6","volume":"56","author":"WH Chiu","year":"2021","unstructured":"Chiu WH (2021) Intersecting Lorenz curves and aversion to inverse downside inequality. Soc Choice Welf 56:487\u2013508","journal-title":"Soc Choice Welf"},{"key":"1576_CR12","doi-asserted-by":"publisher","first-page":"891","DOI":"10.1007\/s11403-019-00257-2","volume":"14","author":"F Clementi","year":"2019","unstructured":"Clementi F, Gallegati M, Gianmoena L, Landini S, Stiglitz JE (2019a) Mis-measurement of inequality: a critical reflection and new insights. J Econ Interact Coord 14:891\u2013921","journal-title":"J Econ Interact Coord"},{"key":"1576_CR13","doi-asserted-by":"publisher","first-page":"923","DOI":"10.1007\/s11403-019-00269-y","volume":"14","author":"F Clementi","year":"2019","unstructured":"Clementi F, Gallegati M, Gianmoena L, Landini S, Stiglitz JE (2019b) Correction to mis-measurement of inequality: a critical reflection and new insights. J Econ Interact Coord 14:923","journal-title":"J Econ Interact Coord"},{"key":"1576_CR14","first-page":"980","volume":"85","author":"J Davies","year":"1995","unstructured":"Davies J, Hoy M (1995) Making inequality comparisons when Lorenz curves intersect. Am Econ Rev 85:980\u2013986","journal-title":"Am Econ Rev"},{"key":"1576_CR15","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1007\/s00355-021-01343-w","volume":"58","author":"J Davies","year":"2022","unstructured":"Davies J, Hoy M, Zhao L (2022) Revisiting comparisons of income inequality when Lorenz curves intersect. Soc Choice Welf 58:101\u2013109","journal-title":"Soc Choice Welf"},{"key":"1576_CR16","doi-asserted-by":"publisher","first-page":"67","DOI":"10.1016\/0022-0531(80)90065-4","volume":"22","author":"D Donaldson","year":"1980","unstructured":"Donaldson D, Weymark JA (1980) A single-parameter generalization of the Gini indices of inequality. J Econ Theory 22:67\u201386","journal-title":"J Econ Theory"},{"key":"1576_CR17","doi-asserted-by":"publisher","first-page":"353","DOI":"10.1016\/0022-0531(83)90053-4","volume":"29","author":"D Donaldson","year":"1983","unstructured":"Donaldson D, Weymark JA (1983) Ethically flexible Gini indices for distributions in the continuum. J Econ Theory 29:353\u2013358","journal-title":"J Econ Theory"},{"key":"1576_CR18","doi-asserted-by":"publisher","first-page":"667","DOI":"10.1111\/roiw.12523","volume":"68","author":"S Ederer","year":"2022","unstructured":"Ederer S, \u0106etkovi\u0107 P, Humer S, Jestl S, List E (2022) Distributional national accounts (DINA) with household survey data: methodology and results for European countries. Rev Income Wealth 68:667\u2013688","journal-title":"Rev Income Wealth"},{"key":"1576_CR19","doi-asserted-by":"crossref","unstructured":"Gallegati M, Landini S, Stiglitz JE (2016) The inequality multiplier. Columbia Business School Research Paper, No. 16\u201329.","DOI":"10.2139\/ssrn.2766301"},{"key":"1576_CR20","first-page":"2","volume":"9","author":"C Gini","year":"1932","unstructured":"Gini C (1932) Intorno alle curve di concentrazionee. Metron 9:2\u201376","journal-title":"Metron"},{"key":"1576_CR21","doi-asserted-by":"publisher","first-page":"970","DOI":"10.1111\/roiw.12535","volume":"68","author":"V Hlasny","year":"2021","unstructured":"Hlasny V, Ceriani L, Verme P (2021) Bottom incomes and the measurement of poverty and inequality. Rev Income Wealth 68:970\u20131006","journal-title":"Rev Income Wealth"},{"key":"1576_CR22","doi-asserted-by":"publisher","first-page":"719","DOI":"10.2307\/1911106","volume":"48","author":"NC Kakwani","year":"1980","unstructured":"Kakwani NC (1980) On a class of poverty measures. Econometrica 48:719\u2013727","journal-title":"Econometrica"},{"key":"1576_CR23","doi-asserted-by":"publisher","first-page":"947","DOI":"10.1016\/j.csda.2005.09.014","volume":"51","author":"J Karvanen","year":"2006","unstructured":"Karvanen J (2006) Estimation of quantile mixtures via L-moments and trimmed L-moments. Comput Stat Data Anal 51:947\u2013959","journal-title":"Comput Stat Data Anal"},{"key":"1576_CR24","unstructured":"Kennickell AB (1998) List sample design for the 1998 survey of consumer finances. Working paper, Board of Governors of the Federal Reserve System."},{"key":"1576_CR25","first-page":"1","volume":"83","author":"AB Kennickell","year":"1997","unstructured":"Kennickell AB, Starr-McCluer M, Sund\u00e9n A (1997) Family finances in the U.S.: recent evidence from the survey of consumer finances. Fed Reserv Bull 83:1\u201324","journal-title":"Fed Reserv Bull"},{"key":"1576_CR26","doi-asserted-by":"publisher","first-page":"416","DOI":"10.1016\/0022-0531(76)90037-5","volume":"12","author":"SC Kolm","year":"1976","unstructured":"Kolm SC (1976) Unequal inequalities: I. J Econ Theory 12:416\u2013442","journal-title":"J Econ Theory"},{"key":"1576_CR27","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1086\/450006","volume":"11","author":"S Kuznets","year":"1963","unstructured":"Kuznets S (1963) Quantitative aspects of economic growth of nations. Econ Dev Cult Change 11:1\u201380","journal-title":"Econ Dev Cult Change"},{"key":"1576_CR28","doi-asserted-by":"publisher","first-page":"805","DOI":"10.2307\/1913446","volume":"44","author":"F Mehran","year":"1976","unstructured":"Mehran F (1976) Linear measures of inequality. Econometrica 44:805\u2013809","journal-title":"Econometrica"},{"key":"1576_CR29","unstructured":"Morgan M, Neef T (2021) 2021 DINA regional update for Europe. World Inequality Lab \u2013 Technical Note No. 2021\/08."},{"key":"1576_CR30","doi-asserted-by":"publisher","first-page":"314","DOI":"10.1016\/0022-0531(89)90084-7","volume":"49","author":"P Muliere","year":"1989","unstructured":"Muliere P, Scarsini M (1989) A note on stochastic dominance and inequality measures. J Econ Theory 49:314\u2013323","journal-title":"J Econ Theory"},{"key":"1576_CR31","doi-asserted-by":"publisher","first-page":"548","DOI":"10.1007\/s13571-021-00264-z","volume":"84","author":"M Okamoto","year":"2022","unstructured":"Okamoto M (2022a) Lorenz and polarization orderings of the double-pareto lognormal distributions and other size distributions. Sankhya B 84:548\u2013574","journal-title":"Sankhya B"},{"key":"1576_CR32","first-page":"1","volume":"42","author":"M Okamoto","year":"2022","unstructured":"Okamoto M (2022b) Level-adjusted S-Gini index and its complementary index as a pair of sensitivity-adjusted inequality measures. Econ Bull 42:1\u201316","journal-title":"Econ Bull"},{"key":"1576_CR33","doi-asserted-by":"crossref","unstructured":"Pedroni M, Singh S, Stoltenberg CA (2022) Advance information and consumption insurance: Evidence from panel data. Tinbergen discussion paper, No. 2022\u2013032\/VI.","DOI":"10.2139\/ssrn.4035762"},{"key":"1576_CR34","doi-asserted-by":"publisher","first-page":"225","DOI":"10.1016\/0022-0531(70)90038-4","volume":"2","author":"M Rothschild","year":"1970","unstructured":"Rothschild M, Stiglitz JE (1970) Increasing risk I: a definition. J Econ Theory 2:225\u2013243","journal-title":"J Econ Theory"},{"key":"1576_CR35","doi-asserted-by":"publisher","first-page":"485","DOI":"10.2307\/2297571","volume":"54","author":"AF Shorrocks","year":"1987","unstructured":"Shorrocks AF, Foster JE (1987) Transfer sensitivity inequality measures. Rev Econ Stud 54:485\u2013497","journal-title":"Rev Econ Stud"},{"key":"1576_CR36","doi-asserted-by":"crossref","unstructured":"Stoltenberg CA, Uhlendorff A (2022) Consumption choices and earnings expectations: Empirical evidence and structural estimation. IZA discussion paper, No. 15443.","DOI":"10.2139\/ssrn.4178919"},{"key":"1576_CR37","first-page":"1594","volume":"30","author":"S Subramanian","year":"2010","unstructured":"Subramanian S (2010) Tricks with the Lorenz curve. Econ Bull 30:1594\u20131602","journal-title":"Econ Bull"},{"key":"1576_CR38","first-page":"580","volume":"35","author":"S Subramanian","year":"2015","unstructured":"Subramanian S (2015) More tricks with the Lorenz curve. Econ Bull 35:580\u2013589","journal-title":"Econ Bull"},{"key":"1576_CR39","first-page":"1677","volume":"39","author":"S Subramanian","year":"2019","unstructured":"Subramanian S (2019) Further tricks with the Lorenz curve. Econ Bull 39:1677\u20131686","journal-title":"Econ Bull"},{"key":"1576_CR40","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1007\/BF02911628","volume":"20","author":"T Taguchi","year":"1968","unstructured":"Taguchi T (1968) Concentration curve methods and structure of skew populations. A methodology for the analysis of economic data. Ann Inst Stat Math 20:107\u2013141","journal-title":"Ann Inst Stat Math"},{"key":"1576_CR41","first-page":"507","volume":"42","author":"A Tarsitano","year":"1988","unstructured":"Tarsitano A (1988) Measuring the asymmetry of the Lorenz curve. Ric Econ 42:507\u2013519","journal-title":"Ric Econ"},{"key":"1576_CR42","doi-asserted-by":"publisher","first-page":"381","DOI":"10.1016\/0022-0531(88)90010-5","volume":"44","author":"ME Yaari","year":"1988","unstructured":"Yaari ME (1988) A controversial proposal concerning inequality measurement. J Econ Theory 44:381\u2013397","journal-title":"J Econ Theory"},{"key":"1576_CR43","doi-asserted-by":"publisher","first-page":"617","DOI":"10.2307\/2648789","volume":"24","author":"S Yitzhaki","year":"1983","unstructured":"Yitzhaki S (1983) On an extension of the Gini inequality index. Int Econ Rev 24:617\u2013628","journal-title":"Int Econ Rev"},{"key":"1576_CR44","first-page":"431","volume":"18","author":"G Zanardi","year":"1964","unstructured":"Zanardi G (1964) Della asimmetria condizionata delle curve di concentrazione. Lo scentramento. Rivista Italiana di Economia, Demografia e Statistica 18:431\u2013466","journal-title":"Rivista Italiana di Economia, Demografia e Statistica"},{"key":"1576_CR45","first-page":"355","volume":"19","author":"G Zanardi","year":"1965","unstructured":"Zanardi G (1965) L\u2019asimmetria statistica delle curve di concentrazione. Ric Econ 19:355\u2013396","journal-title":"Ric Econ"},{"key":"1576_CR46","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1007\/s003550050139","volume":"16","author":"C Zoli","year":"1999","unstructured":"Zoli C (1999) Intersecting generalized Lorenz curves and the Gini index. Soc Choice Welf 16:183\u2013196","journal-title":"Soc Choice Welf"}],"container-title":["Social Choice and Welfare"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00355-024-01576-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00355-024-01576-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00355-024-01576-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,9,26]],"date-time":"2025-09-26T07:35:37Z","timestamp":1758872137000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00355-024-01576-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,1,25]]},"references-count":46,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2025,9]]}},"alternative-id":["1576"],"URL":"https:\/\/doi.org\/10.1007\/s00355-024-01576-5","relation":{},"ISSN":["0176-1714","1432-217X"],"issn-type":[{"type":"print","value":"0176-1714"},{"type":"electronic","value":"1432-217X"}],"subject":[],"published":{"date-parts":[[2025,1,25]]},"assertion":[{"value":"21 February 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"14 December 2024","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"25 January 2025","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}