Inequality, Redistribution, and Discrimination:

An Experiment

Brandon Williams

Applied Micro Brown Bag

April 21, 2025

Motivation: Some Facts

  • 71% of the population live in country where wealth inequality has risen since 1990
  • The source of inequality matters for preferences about redistribution (Young, 1958; Fong, 2001; Alesina and Angelitos, 2005; Andre, 2024)
    • Some accept all forms of inequality
    • Some accept inequality only if it is earned
    • Some do not accept any form of inequality
  • A considerable amount of literature has used spectator designs to study the share of these types across country, political views, and gender (Cappelen et al., 2007; Almas et al., 2020; Almas et al., 2024)
  • Preferences about inequality are important because they strongly correlate with preferences about policy

Types Around the World

Motivation: Some More Facts

  • Discrimination and in-group bias are real phenomena (Becker, 1958; Tajfel et al., 1971; Chen and Li, 2009)
  • Social desirability bias can lead to attenuated estimates of discriminatory intent in experiments (Kuklinski et al., 1997a, Kuklinski et al., 1997b)
  • Evidence of discrimination tends to emerge more strongly when it can be hidden by other possible explanations, like list randomization techniques (e.g. Coffman et al., 2013)
  • Or when observation is not apparent
    • Correspondence resume studies (Bertrand and Mullainathan, 2004)
    • Choice of flowers to allocate to downstream workers (Hjort, 2013)

Research Question

  • Are redistributive preferences (partially) determined by who will benefit from redistribution?

Research Question

  • Are redistributive preferences (partially) determined by who will benefit from redistribution?

Research Question

  • Are redistributive preferences (partially) determined by who will benefit from redistribution?
    • Preferences about implemented inequality

Research Question

  • Are redistributive preferences (partially) determined by who will benefit from redistribution?
    • Preferences about implemented inequality
    • Social in- and out-group, focusing on ethnicity

Research Question

  • Are redistributive preferences (partially) determined by who will benefit from redistribution?
    • Preferences about implemented inequality
    • Social in- and out-group, focusing on ethnicity
    • Under-performing or unlucky in-group benefits from redistribution; advantaged in-group benefits from "libertarian" outcomes

Research Question

  • Are redistributive preferences (partially) determined by who will benefit from redistribution?
    • Preferences about implemented inequality
    • Social in- and out-group, focusing on ethnicity
    • Under-performing or unlucky in-group benefits from redistribution; advantaged in-group benefits from "libertarian" outcomes
  •  
    • What is the function of in-group relationship that informs one's willingness to redistribute?

Research Question

  • Are redistributive preferences (partially) determined by who will benefit from redistribution?
    • Preferences about implemented inequality
    • Social in- and out-group, focusing on ethnicity
    • Under-performing or unlucky in-group benefits from redistribution; advantaged in-group benefits from "libertarian" outcomes
  •  
    • What is the function of in-group relationship that informs one's willingness to redistribute?

Pr(redistributing)

% share disadvantaged co-ethnic group

Research Question

  • Are redistributive preferences (partially) determined by who will benefit from redistribution?
    • Preferences about implemented inequality
    • Social in- and out-group, focusing on ethnicity
    • Under-performing or unlucky in-group benefits from redistribution; advantaged in-group benefits from "libertarian" outcomes
  •  
    • What is the function of in-group relationship that informs one's willingness to redistribute?

Pr(redistributing)

% share disadvantaged co-ethnic group

Research Question

  • Are redistributive preferences (partially) determined by who will benefit from redistribution?
    • Preferences about implemented inequality
    • Social in- and out-group, focusing on ethnicity
    • Under-performing or unlucky in-group benefits from redistribution; advantaged in-group benefits from "libertarian" outcomes
  •  
    • What is the function of in-group relationship that informs one's willingness to redistribute?

Pr(redistributing)

% share disadvantaged co-ethnic group

Research Question

  • Are redistributive preferences (partially) determined by who will benefit from redistribution?
    • Preferences about implemented inequality
    • Social in- and out-group, focusing on ethnicity
    • Under-performing or unlucky in-group benefits from redistribution; advantaged in-group benefits from "libertarian" outcomes
  •  
    • What is the function of in-group relationship that informs one's willingness to redistribute?

Pr(redistributing)

% share disadvantaged co-ethnic group

An Ideal Experiment...

  • Have workers complete a task with an equivalent ex-ante expected outcome by group
  • Identify "blind" redistribution preferences of spectators
  • Have clear, salient and preferably binary in- and out-groups
  • Natural variation in the distribution of groups that is well-known by decision-makers
  • Choices in redistribution unbiased by social desirability (e.g. a plausible "out")
  • Leverage the changing distribution to test the slope of redistribution probability function
  • Match the blind elicitation to the corresponding point in the redistribution function

Overall Design

  • Lab-in-the-field design using a worker-spectator redistribution paradigm
    • Control treatment: generic workers
    • Information treatment: reveal location of workers
  • Leverage Fiji as "technology":
    • Stark and salient in- and out-group differences between ethnic groups
    • Wide-ranging geographical variation in group distribution
  • Measure within-group preferences about redistribution
  • Measure shift in group preferences about redistribution
    • Redistribution towards in-group with unfavorable allocation
    • No/limited redistribution with favorable allocation

Experimental Paradigm

  • From Almas et al. (2024), two types of participants:
    • Workers - complete task for possible payment
    • Spectators - can decide on possible redistribution of payment
  • The task requires little skill but real effort (e.g. ball-catching task, counting zeros)

Experimental Paradigm

  • One worker gets initial allocation according to treatment
    • Luck - a fair coin determines who is paid the whole amount
    • Merit - the more productive worker is paid the whole amount

$

$

$

$

$

$

Experimental Paradigm

  • Spectators know the source of the allocation
  • Workers are not informed of the initial distribution, but are aware a spectator will have final say

$

$

$

$

$

$

Experimental Paradigm

  • Before the workers are paid, the spectator can choose to redistribute: none

$

$

$

$

$

$

Experimental Paradigm

  • Before the workers are paid, the spectator can choose to redistribute: none, some,

$

$

$

$

$

$

Experimental Paradigm

  • Before the workers are paid, the spectator can choose to redistribute: none, some, or all

$

$

$

$

$

$

Experimental Paradigm

  • Spectators can be classified by their choices over redistribution depending on treatment

$

$

$

$

$

$

Experimental Paradigm

  • Spectators can be classified by their choices over redistribution depending on treatment

$

$

$

$

$

$

Experimental Paradigm

  • Spectators can be classified by their choices over redistribution depending on treatment

$

$

$

$

$

$

Experimental Paradigm

  • Spectators can be classified by their choices over redistribution depending on treatment

$

$

$

$

$

$

Meritocrat*

Experimental Paradigm

  • Spectators can be classified by their choices over redistribution depending on treatment

$

$

$

$

$

$

Experimental Paradigm

  • Spectators can be classified by their choices over redistribution depending on treatment

$

$

$

$

$

$

Egalitarian

Experimental Paradigm

  • Spectators can be classified by their choices over redistribution depending on treatment

$

$

$

$

$

$

Experimental Paradigm

  • Spectators can be classified by their choices over redistribution depending on treatment

$

$

$

$

$

$

Experimental Paradigm

  • Spectators can be classified by their choices over redistribution depending on treatment

$

$

$

$

$

$

Libertarian

Experimental Paradigm

  • Spectators can be classified by their choices over redistribution depending on treatment

$

$

$

$

$

$

Experimental Paradigm

  • Spectators can be classified by their choices over redistribution depending on treatment

$

$

$

$

$

$

Egalitarian*

Experimental Paradigm

  • Spectators can be classified by their choices over redistribution depending on treatment
    • Egalitarians - share dividing equally in the merit treatment
    • Libertarians - share allocating everything to the lucky worker in the luck treatment
    • Meritocrats - difference between the share of participants allocating more to the productive worker in the merit treatment and the share allocating more to the lucky worker in the luck treatment
    • Other - share redistributing in other ways

Experimental Paradigm

  • Equivalently, we can use the solution to the utility from the distribution between two workers:
m^{E(i)}=\frac{X}{2} \\
m^{M(i)}=\frac{a_1}{a_1+a_2}X
m^{L(i)}=\frac{a_1 p_1}{a_1 p_1+a_2 p_2}X

Egalitarian

Meritocrat

Libertarian

\max_{y_1} V_i^{k(i)} =- \beta_i \frac{(y_1 - m^{k(i)})^2}{2}

giving us the following solutions based on preference:

Experimental Paradigm

Experimental Paradigm

  • Under "blind" elicitation, spectator should choose their optimal preference for inequality, but may be informed by assumptions about who would benefit
  • Hypothesis/claims to be tested:
    • Introducing information about workers changes the redistributive choice towards a preferred group
    • Suddenly egalitarians look like meritocrats (or vice versa) when their choice benefits a certain type of worker
    • "Real" policy preferences exist with knowledge and inference about who will benefit from redistribution schemes
    • It is vital to know if inequality preferences are robust or subject to the context of who benefits

Context: Fiji

  • Island country in Melanesia north of New Zealand
  • Consists of 330 islands, with about 100 inhabited, most of the population (87%) lives on one of two islands
  • 1874: Fiji as a British colony
  • A catastrophic measles outbreak (mortality rate of 540 out of 1000 workers) and rebellion led to limited labor force
  • Beginning in 1878, the UK began bringing indentured "laborers" from India to work, eventually over 60,000
  • Today, 35% of the population is Indo-Fijian, with 60% indigenous iTaukei

Context: Fiji

Context: Fiji

  • Meanwhile "Fiji is for the Fijians" was adopted as official land ownership policy
    • Traditional chiefs granted control over governing
    • Most land could not be sold, only leased
  • Since independence in 1970, "Two Fijis" is the norm
    • iTaukei own land rights and receive rent payments
      • Redistributive scheme within tribes
      • Often iTaukei do not work the land they own, or only subsistence farm on small percentages of it
    • Indo-Fijians largely comprise the cash crop production and urban business development
      • Lower poverty rate (20% vs 36%)
      • Generate considerable economic activity through land use

Context: Fiji

  • Cultural differences are extremely prevalent (and salient):
    • iTaukei have a stronger social identity, in-group identification, and are more collectivistic than Indo-Fijians
    • iTaukei more likely to be Christians, while Indo-Fijians more likely to be Hindus or Muslims

  • Geographic differences are also clearly defined:
    • iTaukei: native land under traditional clan structure
    • Indo-Fijian: urban centers and towns

  • Political strength largely vested in iTaukei (esp. following 2000 coup), but economic strength with Indo-Fijians

Context: Fiji

Where do the iTaukei live?

Nuku: 90%

Baravi: 77%

Lautoka: 51%

Ba: 23%

Experimental Procedure

  • Standard spectator game
  • Each with two sub-treatments for determining types:
    • Luck
    • Merit
  • Two experimental treatments:
    • Blind treatment - no information about the workers provided to the spectator
    • Information - location information about each worker, such that ethnic group of worker is readily inferred
  • N = 400, balanced on iTaukei and Indo-Fijian split
  • Collect their justification for making redistributive choice

Empirical Specification

  • There are two key measures from the spectator game:                    
    1. The share of each type (as defined before)
    2. Implemented inequality:

 

 

 

 

 

 

 

 

e_i = \alpha + \alpha_M M_i + \delta T_i +\delta_M M_i T_i + \gamma X_i + \epsilon_i

where the outcome is equivalent to the GINI coefficient:

e_i = \frac{|\text{income } A_i - \text{income } B_i|}{\text{total income}}

Empirical Specification

  • There are two key measures from the spectator game:                    
    1. The share of each type (as defined before)
    2. Implemented inequality:

 

 

 

 

 

 

 

 

e_i = \alpha + \alpha_M M_i + \delta T_i +\delta_M M_i T_i + \gamma X_i + \epsilon_i
  • In the information treatment this becomes:                                      

 

 

 

 

e_i = \alpha + \alpha_M M_i + \delta T_i + \beta E_i +\delta_M M_i T_i + \beta_E E_i T_i + \gamma X_i + \epsilon_i

where the       captures if the "losing" worker is in-group coethinic

E_i

Hypothesis 1: the collectivist tradition of the iTaukei and the redistribution scheme for rents will lead to more egalitarian views

  • Hypothesis 1a: there is more inequality implementation by Indo-Fijian spectators than iTaukei spectators in blind treatments

 

  • Hypothesis 1b: there are fewer Indo-Fijian egalitarians than iTaukei egalitarians

 

 

Hypotheses

(\delta, \delta_M < 0)

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

 

  • Hypothesis 2a: when the in-group benefits from the initial payment scheme, fewer people choose to redistribute
  • Hypothesis 2b: when the in-group does not benefit from the initial payment scheme, more people choose to redistribute
  • Hypothesis 2c: conditioning on in-group performance, the distribution of types is not the same

Hypotheses

\beta < 0

Given blind versus information conditioning on in-group performing worse (merit treatment) or being unlucky (luck):

Additional Things I'm Thinking About

  • Adding a treatment with specific details about the workers to test direct pathway to in-group preference
  • Developing a meaningful / useful task for the workers, and determining logistically how to pay the workers
  • Repeating the task within-subject to determine if spectators attenuate the bias shift in order to stay consistent
    • For example, going from blind in first rounds to geographic in later rounds
    • Or, seeing the immediate beneficiaries of payment switch from in-group to out-group

Conclusion

  • Understand how in- and out-group differences affect inequality preferences
    • E.g. to what degree does who benefits from redistribution change those preferences?
  • Leverage the stark and salient binary ethnic groups in Fiji
    • Natural variation in geographical location allows for inferring co-ethnic beneficiaries with minimal social desirability bias
  • Experimental procedure that uses an established paradigm and introduces an in- and out-group dimension with testable implications

Thank you!

Preferences about inequality and policy

Norway and the US

A Model of (Context-Dependent) Inequality

\max_{y_1, y_2} V_i^{k(i)} = \theta_1 y_1 + \theta_2 y_2 - \beta_i \frac{(y_1 - m^{k(i)})^2}{2}

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

A Model of (Context-Dependent) Inequality

\max_{y_1, y_2} V_i^{k(i)} = \theta_1 y_1 + \theta_2 y_2 - \beta_i \frac{(y_1 - m^{k(i)})^2}{2}

The spectator seeks to maximize their utility from the distribution of resources:

Since the overall pot is fixed, we can rewrite this as:

\max_{y_1} V_i^{k(i)} = X \theta_2 + y_1(\theta_1 - \theta_2) - \beta_i \frac{(y_1 - m^{k(i)})^2}{2}

A Model of (Context-Dependent) Inequality

The spectator seeks to maximize their utility from the distribution of resources:

\max_{y_1} V_i^{k(i)} = X \theta_2 + y_1(\theta_1 - \theta_2) - \beta_i \frac{(y_1 - m^{k(i)})^2}{2}

A Model of (Context-Dependent) Inequality

The spectator seeks to maximize their utility from the distribution of resources:

\max_{y_1} V_i^{k(i)} = X \theta_2 + y_1\underbrace{(\theta_1 - \theta_2)} - \beta_i \frac{(y_1 - m^{k(i)})^2}{2}

Difference in weights on two types of workers

Discrimination

A Model of (Context-Dependent) Inequality

The spectator seeks to maximize their utility from the distribution of resources:

\max_{y_1} V_i^{k(i)} = X \theta_2 + y_1\underbrace{(\theta_1 - \theta_2)} - \beta_i \frac{(y_1 - m^{k(i)})^2}{2}

A Model of (Context-Dependent) Inequality

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:

\max_{y_1} V_i^{k(i)} = X \theta_2 + y_1(\theta_1 - \theta_2) - \beta_i \frac{(y_1 - m^{k(i)})^2}{2}

A Model of (Context-Dependent) Inequality

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:

\max_{y_1} V_i^{k(i)} =- \beta_i \frac{(y_1 - m^{k(i)})^2}{2}

This is the traditional model, solved by FOC:

0 =- \beta_i (y_1 - m^{k(i)}) \Rightarrow y_1 = m^{k(i)}

A Model of (Context-Dependent) Inequality

This is the traditional model, solved by FOC:

0 =- \beta_i (y_1 - m^{k(i)}) \Rightarrow y_1 = m^{k(i)}

We can classify people by type given their redistribution choice:

m^{E(i)}=\frac{X}{2} \\
m^{M(i)}=\frac{a_1}{a_1+a_2}X
m^{L(i)}=\frac{a_1 p_1}{a_1 p_1+a_2 p_2}X

Egalitarian

Meritocrat

Libertarian

A Model of (Context-Dependent) Inequality

The spectator seeks to maximize their utility from the distribution of resources:

\max_{y_1} V_i^{k(i)} = X \theta_2 + y_1(\theta_1 - \theta_2) - \beta_i \frac{(y_1 - m^{k(i)})^2}{2}

If we allow for some preference over who gets redistribution:

\theta_1 >0 \text{ and/or } \theta_2 >0 \text{ and } \theta_1 \neq \theta_2

Which yields FOC:

y_1^* = \frac{X(\theta_1 - \theta_2)}{\beta_i} + m^{k(i)}

A Model of (Context-Dependent) Inequality

Which yields FOC:

y_1^* = \frac{X(\theta_1 - \theta_2)}{\beta_i} + m^{k(i)}

Then only allocate according to inequality preferences if spectator really cares about inequality preferences

\beta_i >> 0

Otherwise, bias towards one participant causes misrepresentation as a different type, which disguises the discrimination

A Model of (Context-Dependent) Inequality

We need not allow for direct discrimination by providing the identity of the workers; it can be probabilistic:

y_1^* = \frac{X(\pi \theta_1 - (1-\pi)\theta_2)}{\beta_i} + m^{k(i)}

Potentially, the probability attenuates the bias based on inference.

However, it behaviorally provides more "cover" for discrimination under an inequality preference

A Model of (Context-Dependent) Inequality

  • Key takeaways:
    • Under "blind" elicitations, spectator should always choose their personal optimal preference for inequality
    • Introducing any information about workers may bias the redistributive choice
      • Suddenly egalitarians look like meritocrats (or vice versa) when their choice benefits a certain type of worker
  • My argument henceforth
    • "Real" preferences (in the sense of policy) are made with knowledge and inference about who will benefit from redistribution schemes
    • It is vital to know if inequality preferences are stable or subject to the context of who benefits

Power Simulation

Simulated Data

Simulated Data

Simulated Data

Simulated Data