William Baumol's Fairness Assumption: Difference between revisions

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*'''Envy'''<nowiki>:</nowiki>
*'''Envy'''<nowiki>:</nowiki>
::If an individual, A, prefers the bundle of goods held by another individual, B, to his own bundle, he is said to ''envy'' individual B.  
::If A prefers to his own bundle, the bundle of goods held by B, A is said to ''envy'' B.  


*'''Fairness'''<nowiki>:</nowiki>
*'''Fairness'''<nowiki>:</nowiki>
::A distribution is fair if no individual envies another.
::The distribution of goods X and Y is fair if no envy is involved.


*'''Superfairness'''<nowiki>:</nowiki>
*'''Superfairness'''<nowiki>:</nowiki>
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*'''Strict Superfairness'''<nowiki>:</nowiki>
*'''Strict Superfairness'''<nowiki>:</nowiki>
::If A ''strictly'' prefers his bundle to the bundle received by B (and vice versa), then the distribution of goods X and Y is said to be ''strictly superfair''.  That is, if
::If the bundle received by each individual is ''strictly'' preferred by that individual to the bundles received by
::If the bundle received by each individual is ''strictly'' preferred by that individual to the bundles received by



Revision as of 01:45, 11 April 2006

Overview | What Is Fairness? | Fairness In Game Theory | Retaliation and Reciprocity | William Baumol's Fairness Assumption | The Ultimatum Game Under Baumol's Fairness Assumption | Fairness Theory Homepage





Definitions

For convenience, the below definitions assume a world with two individuals, A and B, and two goods, X and Y


  • Envy:
If A prefers to his own bundle, the bundle of goods held by B, A is said to envy B.
  • Fairness:
The distribution of goods X and Y is fair if no envy is involved.
  • Superfairness:
  • Strict Superfairness:
If A strictly prefers his bundle to the bundle received by B (and vice versa), then the distribution of goods X and Y is said to be strictly superfair. That is, if
If the bundle received by each individual is strictly preferred by that individual to the bundles received by

Properties of Fariness

Properties of Superfairness

Multistage Superfairness

Applications