An Experiment in the Robustness of Inequality Preferences
Brandon Williams
Experimental / Behavioral Brown Bag
February 19, 2025
If meritocrats believe, as more and more of them are encouraged to, that their advancement comes from their own merits, they can feel they deserve whatever they can get...
as a result, general inequality has been becoming more grievous with every year that passes."
- Michael Young, 2001
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Meritocrat*
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Egalitarian
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Libertarian
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Egalitarian*
Egalitarian
Meritocrat
Libertarian
giving us the following solutions based on preference:
where the outcome is equivalent to the GINI coefficient:
where the captures if the "losing" worker is in-group coethinic
Hypothesis 1: the collectivist tradition of the iTaukei and the redistribution scheme for rents will lead to more egalitarian views
While not causal, this would provide further suggestive evidence along the lines of the differences observed between the United States and Norway
Hypothesis 2: there are systematic shifts in inequality preferences towards the in-group in information treatment
Given blind versus information conditioning on in-group performing worse (merit treatment) or being unlucky (luck):
Motivated Meritocracy
The spectator seeks to maximize their utility from the distribution of resources:
Weight to worker 1
Allocation to worker 1
Strength of inequality preferences
Inequality preferences
The spectator seeks to maximize their utility from the distribution of resources:
Since the overall pot is fixed, we can rewrite this as:
The spectator seeks to maximize their utility from the distribution of resources:
The spectator seeks to maximize their utility from the distribution of resources:
Difference in weights on two types of workers
Discrimination
The spectator seeks to maximize their utility from the distribution of resources:
The spectator seeks to maximize their utility from the distribution of resources:
If we assume there is no benefit from giving to a particular worker:
The spectator seeks to maximize their utility from the distribution of resources:
If we assume there is no benefit from giving to a particular worker:
This is the traditional model, solved by FOC:
This is the traditional model, solved by FOC:
We can classify people by type given their redistribution choice:
Egalitarian
Meritocrat
Libertarian
The spectator seeks to maximize their utility from the distribution of resources:
If we allow for some preference over who gets redistribution:
Which yields FOC:
Which yields FOC:
Then only allocate according to inequality preferences if spectator really cares about inequality preferences
Otherwise, bias towards one participant causes misrepresentation as a different type, which disguises the discrimination
We need not allow for direct discrimination by providing the identity of the workers; it can be probabilistic:
Potentially, the probability attenuates the bias based on inference.
However, it behaviorally provides more "cover" for discrimination under an inequality preference