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Chapter 5 - The fairness-as-no-envy approach in social choice theory

Published online by Cambridge University Press:  07 October 2011

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Summary

There is something extraordinary, and seemingly unaccountable in the operation of our passions, when we consider the fortune and situation of others. Very often another's advancement and prosperity produces envy, which has a strong mixture of hatred, and arises chiefly from the comparison of ourselves with the person. At the very same time, or at least in very short intervals, we may feel the passion of respect, which is a species of affection or good-will, with a mixture of humility. On the other hand, the misfortunes of our fellows often causes pity, which has in it a strong mixture of good-will. This sentiment of pity is nearly allied to contempt, which is a species of dislike, with a mixture of pride. I only point out these phenomena, as a subject of speculation to such as are curious with regard to moral enquiries.

David Hume

Introduction

Consider the problem of dividing a cake among three individuals once again. Reliance on the Pareto efficiency criterion in finding an appropriate division will be of no help, because all divisions that leave nothing to be wasted will be Pareto-efficient. If we take recourse to the simple majority decision rule, our choice will be narrowed down, but the outcome thereby arrived at may well be strongly unappealing, as we have illustrated by Example 4.5. Invoking the no-envy concept of equity, we can also narrow down the range of eligible divisions.

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Publisher: Cambridge University Press
Print publication year: 1983

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