A Class of Proximity-Sensitive Measures of Relative Deprivation

Abstract

Standard-Nutzungsbedingungen:Die Dokumente auf EconStor dürfen zu eigenen wissenschaftlichen Zwecken und zum Privatgebrauch gespeichert und kopiert werden.Sie dürfen die Dokumente nicht für öffentliche oder kommerzielle Zwecke vervielfältigen, öffentlich ausstellen, öffentlich zugänglich machen, vertreiben oder anderweitig nutzen.Sofern die Verfasser die Dokumente unter Open-Content-Lizenzen (insbesondere CC-Lizenzen) zur Verfügung gestellt haben sollten, gelten abweichend von diesen Nutzungsbedingungen die in der dort genannten Lizenz gewährten Nutzungsrechte. Terms of use: Documents in EconStor may AbstractWe introduce a new class of generalized measures of relative deprivation. The class takes the form of a power mean of order p . A characteristic of the class is that depending on the value of the proximity-sensitive parameter p , the class is capable of accommodating both a decreasing weight (the case of 1 p > ), and an increasing weight (the case of (0,1) p ∈ ) accorded to given changes in the incomes of the individuals who are wealthier than the reference individual, depending on their proximity in the income distribution to the reference individual.

An optimal split of school classes

“…Comment. In Stark et al (2017), the employment of a set of axioms enables us to introduce a new class of generalized measures of relative deprivation, RDp, based on a preference relationship defined on the set of vectors of incomes. The class takes the form of a power mean of order p .…”

“…Personality and Social Psychology Review 16(3): 203-232. Stark, Oded, Bielawski, Jakub, and Falniowski, Fryderyk (2017). "A class of proximitysensitive measures of relative deprivation."…”

Comparing indices of relative deprivation using behavioural evidence

“…Thus the Yitzhaki index assumes that the effect will depend on ( − ), as does a recent dynamic index which takes account of the number of people who have overtaken i between one time period and the next (Bossert & D'Ambrosio, 2007;Bossert & D'Ambrosio, 2020). Several approaches assume instead that the significance of for the relative deprivation of i will be some increasing but concave function of ( − ), such that i's deprivation increases less than proportionately with the amount by which exceeds (Bossert & D'Ambrosio, 2014;Chakravarty & Chakraborty, 1984;Esposito, 2010;Paul, 1991;Podder, 1996;Stark, Bielawski, & Falniowski, 2017). These approaches allow the distribution of incomes > to influence i's deprivation.…”

“…The latter two points are discussed briefly below. More recent but related approaches can be found in Stark, Bielawski and Falniowski (2017) and in Bossert and D'Ambrosio (2020).…”

Relative deprivation as a cause of risky behaviors

“…In Stark ( 2013), we provide a brief account of the history of relative deprivation in economics as well as of the rationale that has guided the construction of the widely used index (2) as a measure of (a means of quantifying) the repercussions of the individuals' engagement in social comparisons. An axiomatic foundation for (2) is provided in Stark et al (2017).…”