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Redistributive choices and increasing income inequality: experimental evidence for income as a signal of deservingness

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Abstract

We explore the relation between redistribution choices, source of income, and pre-redistribution inequality. Previous studies find that when income is earned through work there is less support for redistribution than when income is determined by luck. Using a lab experiment, we vary both the income-generating process (luck vs. performance) and the level of inequality (low vs. high). We find that an increase in inequality has less impact on redistribution choices when income is earned through performance than when income results from luck. This result is likely explained by individuals using income differences as a heuristic to infer relative deservingness. If people believe income inequality increases as a result of performance rather than luck, then they are likely to believe the poor deserve to stay poor and the rich deserve to stay rich.

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Notes

  1. Building upon the framework of Hotelling (1929) and Downs (1957), Meltzer and Richard (1981) predict that the tax rate implemented in equilibrium should be the tax rate favored by median-income individuals and that equilibrium taxes should increase as income inequality increases. Note that much of the theoretical political economy and public choice research on taxation and redistribution assumes that individuals are concerned with only their material self-interest when they vote or make other decisions with an impact on redistribution.

  2. For instance, most European countries engage in substantially more income redistribution than the US does, despite lower pretax income inequality levels (Bertola and Ichino 1995; Milanovic 2000; Alesina and Glaeser 2004; Iversen and Soskice 2006; Guvenen et al. 2013).

  3. See Balafoutas et al. (2013), Ku and Salmon (2013), Durante et al. (2014), and Lefgren et al. (2016).

  4. See Rutström and Williams (2000), Tyran and Sausgruber (2006), Cappelen et al. (2007), Krawczyk (2010), Rey-Biel et al. (2015), Cabrales et al. (2012), Esarey et al. (2012) and Agranov and Palfrey (2015).

  5. In the instructions, rounds were referred to as “periods”. Participants were told that “Once the 4th Period is completed, we will randomly select one of the Periods as the “Period-that-counts” and “Note that since all Periods are equally likely to be chosen, you should act in each Period as if it will be the “Period-that-counts.”

  6. See http://laurakgee.weebly.com/index.html for the Online Appendix, which contains the instructions for the Performance-High treatment. The instructions for the other treatments are similar and are available upon request.

  7. In the instructions (see Online Appendix), we do not use the term “median voter”. Instead, we explained the voting in the following way: "The “actual level” of the reallocation will be the highest reallocation, which a majority of the group members support, that is if at least two of the three group members vote “yes.” The process is best explained by some examples: Stage B Reallocation Voting Example: Suppose in Stage B the group member’s voting looks like ... Participant 1 voted for 15% reallocation. Participant 2 voted for 30%. Participant 3 voted for 5%. The reallocation would be 15% because that is the highest value that at least two of the three group members (Participants 1 and 2) supported.” Note that in the instructions we referred to the redistribution rate as a “reallocation” rate and stage 2 as stage B. In our post-test questionnaire, we also asked participants if they felt the instructions were clear and 95% answered in the affirmative. In addition, we asked for improvements in the post- questionnaire, and 75% of the participants did not make any suggestions.

  8. Since payoffs are randomly assigned, we do not have participants in the luck treatments perform a task, as this may generate feelings of unfairness. A participant may feel unfairly treated if she performs the task well but is randomly assigned a low payoff.

  9. Average payoffs are the same pre- and post-redistribution.

  10. The summary statistics for the sessions with beliefs elicitation separated from the sessions without beliefs elicitation are presented in Table 10. Note that in the Performance sessions with belief elicitation, participants finish more tasks and vote for lower redistribution rates than in the original performance sessions. This difference occurs despite round 1 of each of these sessions being identical up to the belief elicitation stage. The computer lab was upgraded between the original sessions in 2014 and the sessions with beliefs elicitation in 2016, which could drive the difference in the number of tasks completed. In order to account for this difference in our regression analysis, we include a dummy variable for belief elicitation and present the pooled and the no-beliefs results side by side.

  11. All t-tests discussed in this section and the next are two-sided.

  12. In the Performance-High sessions without beliefs 14.69 tasks are completed on average, while in the Performance-Low sessions without beliefs only 13.49 tasks are completed on average. Similarly, in the Performance-High sessions with beliefs 22.69 tasks are completed on average, while in the Performance-Low sessions with beliefs only 19.29 tasks are completed on average. But, in both cases, the difference is not statistically significant (\(t=1.35\) for the no-beliefs sessions and \(t=1.71\) for the beliefs sessions). The lack of statistical significance in these cases is likely explained by the smaller sample sizes of the beliefs and no-beliefs sub-groups.

  13. See Durante et al. (2014), Balafoutas et al. (2013), Ruffle (1998) and Cherry et al. (2002). On the other hand, Ku and Salmon (2013) is consistent with our finding.

  14. If \(r_{it}^* \le 0\) then \(r_{it}=0\) and if \(r_{it}^* \ge 100\) then \(r_{it}=100\). There are many observations at 0 and 100 as shown in Fig. 3.

  15. Summing \(\beta\) and \(\alpha _{H}\), the combined coefficient is not significantly different from zero when using clustered standard errors in column 1 \((t=-0.91)\) or without clustering \((t=-1.44)\) and, for column 2, with clustered standard errors \((t=-1.07)\) or without clustering \((t=-1.82)\).

  16. \(\alpha _{p} = 16.16\) in column 1 and \(\alpha _{p}= 17.96\) in column 2. See Table 6 for the standard errors.

  17. In column 1, \(\alpha _{p}\) + \(\beta = -3.99\), with \(t=0.69\) using clustered standard errors. In column 2, \(\alpha _{p}\) + \(\beta = -6.37\), with \(t=0.98\) using clustered standard errors.

  18. When including all sessions (column 1), mean redistribution is 41.11 in the performance treatments and 35.72 in the luck treatments (t-statistic of the difference is 1.66). When including all sessions except for the Beliefs sessions (column 2), the mean redistribution in the performance treatments goes up to 51.40 and it remains at 35.72 in the luck treatments, thus their difference reaches statistical significance with \(t=4.57\).

  19. See Table 10 for summary statistics by beliefs versus no-beliefs sessions.

  20. For \(\alpha _{p}\), the p-value of the difference between column 1 and column 2 estimates is 0.68 using unclustered standard errors and 0.41 using clustered standard errors; while for the difference between column 3 and column 4 estimates, the p-value is 0.65 using unclustered standard errors and 0.33 using clustered standard errors. For \(\beta\), the p-value of the difference between column 1 and column 2 estimates is 0.48 using unclustered standard errors and 0.20 using clustered standard errors; while for the difference between column 3 and column 4 estimates, the p-value is 0.44 using unclustered standard errors and 0.15 using clustered standard errors. Finally, for \(\alpha _{H}\), the p-value of the difference between column 1 and column 2 estimates is 0.58 using unclustered standard errors and 0.32 using clustered standard errors; while for the difference between column 3 and column 4 estimates, the p-value is equal to 0.54 using unclustered standard errors and 0.27 using clustered standard errors.

  21. In Panel A, to show that redistribution decreases as inequality increases in the performance treatments, we sum \(\beta +\alpha _H= -19.25\) (\(t=1.70\) using clustered standard errors and \(t=1.99\) using unclustered standard errors). For Panel B, we find \(\beta +\alpha _H= -25.79\) (\(t=1.99\) using clustered standard errors and \(t=2.29\) using unclustered standard errors).

  22. For example, assume a participant aims to equalize payoffs. If she was in a group with one bottom-, middle-, and top-type earning ($0, $9 and $18), then she would like the redistribution rate to be 50% (post-redistribution payoffs would then be $9, $9, $9). However, if instead she was in a group with one bottom- and two top-types, then she would like the redistribution rate to be 25%. Recall that when there are two top-types, then both top-types pay their redistribution amount to the single bottom-type. In this case, the 25% redistribution rate would imply that both top-types pay $4.50 to the bottom-type, and the post-redistribution payoffs would then be $9, $9, $9.

  23. See Table 10 for beliefs by round. Participants in Performance-High-Beliefs and Performance-Low-Beliefs had similar beliefs about the proportion of bottom-types (19.8 vs. 24.2, with a t-statistic for the difference equal to \(-1.22\)). Yet beliefs about the proportion of middle- or top-types differ by whether inequality is low or high. Beliefs about the proportion of middle-types are 47.7 for high inequality and 36.8 for low inequality (t-statistic of the difference equal to 3.22), while beliefs about the proportion of top-types are 32.5 for high inequality and 39 for low inequality (t-statistic of the difference equal to \(-1.58\)). See Fig. 4 for the full distribution of beliefs by treatment.

  24. We report the results of the models controlling for beliefs in Table 9. In our main model, in Table 6 column 1, the difference-in-differences estimator is \(-20.15\), while it is \(-14.92\) when we control for beliefs; yet these coefficients are not statistically different from each other (p-value of the chi test using clustered standard errors equal to 0.57 using clustered standard errors and 0.44 using unclustered standard errors).

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Correspondence to Marco Migueis.

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The opinions expressed in this manuscript belong to the authors and do not represent official positions of the Federal Reserve Board or the Federal Reserve System. We would like to thank Mariana Blanco for her kind assistance with this paper. In addition, we thank Christopher Anderson, Darcy Covert, Xinxin Lyu, Mike Manzi, Maria Morales-Loaiza, Eitan Scheinthal, Tom Tagliaferro, Isabelle Vrod, Kenneth Weitzman, and Qinyue Yu for excellent research assistance. Finally, we thank the editors, two anonymous referees, Kelsey Jack, Pablo Querubin, Debraj Ray, and Gregory DeAngelo for their helpful comments and suggestions. This research was supported in part by funds from the Tufts University Faculty Research Awards Committee.

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Gee, L.K., Migueis, M. & Parsa, S. Redistributive choices and increasing income inequality: experimental evidence for income as a signal of deservingness. Exp Econ 20, 894–923 (2017). https://doi.org/10.1007/s10683-017-9516-5

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