Egalitarian Division under Leontief Preferences
We consider the problem of fairly dividing l divisible goods among n agents with the generalized Leontief preferences. We propose and characterize the class of generalized egalitarian rules which satisfy efficiency, group strategy-proofness, anonymity, resource monotonicity, population monotonicity,...
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Main Authors: | , |
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Format: | text |
Language: | English |
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Institutional Knowledge at Singapore Management University
2013
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Online Access: | https://ink.library.smu.edu.sg/soe_research/1622 https://ink.library.smu.edu.sg/context/soe_research/article/2621/viewcontent/Egalitarian_division_under_Leontief_preferences_afv.pdf |
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Institution: | Singapore Management University |
Language: | English |
Summary: | We consider the problem of fairly dividing l divisible goods among n agents with the generalized Leontief preferences. We propose and characterize the class of generalized egalitarian rules which satisfy efficiency, group strategy-proofness, anonymity, resource monotonicity, population monotonicity, envy-freeness and consistency. On the Leontief domain, our rules generalize the egalitarian-equivalent rules with reference bundles. We also extend our rules to agent-specific and endowment-specific egalitarian rules. The former is a larger class of rules satisfying all the previous properties except anonymity and envy-freeness. The latter is a class of efficient, group strategy-proof, anonymous and individually rational rules when the resources are assumed to be privately owned. |
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