The Single Parameter Family of Gini Bonferroni Welfare Functions and the Binomial Decomposition, Transfer Sensitivity and Positional Transfer Sensitivity
| Autor: | Ricardo Alberto Marques Pereira, Anastasia Stamatopoulou, Mario Fedrizzi, Silvia Bortot |
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| Rok vydání: | 2017 |
| Předmět: |
Computer Science::Computer Science and Game Theory
education.field_of_study Binomial (polynomial) media_common.quotation_subject 05 social sciences Population Structure (category theory) 02 engineering and technology Weighting Computer Science::Multiagent Systems symbols.namesake Transfer (group theory) Bonferroni correction 0502 economics and business Statistics 0202 electrical engineering electronic engineering information engineering symbols 020201 artificial intelligence & image processing Sensitivity (control systems) 050207 economics education Welfare Mathematics media_common |
| Zdroj: | Soft Computing Based Optimization and Decision Models ISBN: 9783319642857 Soft Computing Based Optimization and Decision Models |
| DOI: | 10.1007/978-3-319-64286-4_18 |
| Popis: | We consider the binomial decomposition of generalized Gini welfare functions in terms of the binomial welfare functions \(C_j\), \(j=1,\ldots ,n\) and we examine the weighting structure of the latter, which progressively focus on the poorest part of the population. In relation with the generalized Gini welfare functions, we introduce measures of transfer sensitivity and positional transfer sensitivity and we illustrate the behaviour of the binomial welfare functions \(C_j\), \(j=1,\ldots ,n\) with respect to these measures. We investigate the binomial decomposition of the Gini Bonferroni welfare functions and we illustrate the dependence of the binomial decomposition coefficients in relation with the single parameter which describes the family. Moreover we examine the family of Gini Bonferroni welfare functions with respect to the transfer sensitivity and positional transfer sensitivity principles. |
| Databáze: | OpenAIRE |
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