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An Adverse Social Welfare Consequence of a Rich-to-Poor Income Transfer : a Relative Deprivation Approach

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cris.lastimport.scopus2024-02-12T20:53:49Z
dc.abstract.enA transfer from a richer individual to a poorer one seems to be the most intuitive and straightforward way of reducing income inequality in a society. However, can such a transfer reduce the welfare of the society? We show that a rich-to-poor transfer can induce a response in the individuals’ behaviors which actually exacerbates, rather than reduces, income inequality as measured by the Gini index. We use this result as an input in assessing the social welfare consequence of the transfer. Measuring social welfare by Sen’s social welfare function, we show that the transfer reduces social welfare. These two results are possible even for individuals whose utility functions are relatively simple (namely, at most quadratic in all terms) and incorporate a distaste for low relative income. We first present the two results for a population of two individuals. We subsequently provide several generalizations. We show that our argument holds for a population of any size, and that the choice of utility functions which trigger this response is not singular – the results obtain for an open set of the space of admissible utility functions. In addition, we show that a rich-to-poor transfer can exacerbate inequality when we employ Lorenz-domination, and that it can decrease social welfare when we draw on any increasing, Schur-concave welfare function.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorKOSIOROWSKI, Grzegorz
dc.contributor.authorJakubek, Marcin
dc.contributor.authorStark, Oded
dc.date.accessioned2024-01-28T19:59:52Z
dc.date.available2024-01-28T19:59:52Z
dc.date.issued2018
dc.description.financeNie dotyczy
dc.identifier.doi10.1108/S1049-258520170000025001
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/150551
dc.identifier.weblinkhttps://www.emerald.com/insight/content/doi/10.1108/S1049-258520170000025001/full/html
dc.languageeng
dc.pbn.affiliationeconomics and finance
dc.publisher.ministerialEmerald Publishing
dc.relation.bookResearch on Economic Inequality : Poverty, Inequality and Welfare
dc.relation.pages1-37
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.ena rich-to-poor transfer
dc.subject.enrelative income
dc.subject.enSen's social welfare function
dc.titleAn Adverse Social Welfare Consequence of a Rich-to-Poor Income Transfer : a Relative Deprivation Approach
dc.typeMonographChapter
dspace.entity.typePublication