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Do Individuals Value Distributional Fairness? How Inequality Affects Majority Decisions

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Abstract

The so-called chaos theorems imply that, under most preference configurations, majority voting in n-dimensional policy spaces is theoretically unrestricted. Empirical research, however, shows an apparent stability of democratic decisions. Recent theoretical developments have emphasized social preferences as a possible explanation for overcoming majority rule’s instability problem. Hence, it is assumed that individuals not only maximize their own well-being, but also value distributional fairness. However, there is little experimental research into the influence of social preferences on majority decisions. This article presents findings from laboratory experiments on majority decisions in two-dimensional policy spaces with a systematic variation of the fairness properties of the incentive structures. The results show that distributional fairness is an important motivational factor in democratic decisions.

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Notes

  1. Recent neuro-economical findings back this claim. Using functional magnetic resonance imaging, Tricomi et al. (2010) find evidence for the existence of inequality-averse social preferences in the human brain.

  2. The core comprises the set of undominated alternatives. An alternative is undominated if no coalition has both the power and the desire to implement another alternative under the decision rule in place.

  3. Locations of subjects’ ideal points are common knowledge in Wilson’s (2008) experiments. However, subjects do not learn the payoffs of the other committee members. Hence, like all the experiments discussed so far, Wilson’s design also establishes incomplete information among subjects.

  4. Performance-dependent monetary incentives are important to preserve the construct validity of experimental results. Thus, financial incentives increase the attention of participants to the task, especially in later periods of the repeatedly played games (Morton and Williams 2010, p. 355).

  5. In the meantime, the other four committee members see a waiting screen while the agenda setter makes her decision.

  6. If the agenda setter makes a proposal, her vote is automatically counted in favor of her own proposal in the subsequent voting stage.

  7. For further information on the induced incentives including the exact coordinates of ideal points and equations of the payout functions consult Supplementary Material 1.

  8. See Supplementary Material 1 for a plot of average payouts in the policy spaces of the experimental treatments.

  9. Supplementary Material 2 analyses the predictive power of two point predictions based on very simple fairness models. Firstly, I test whether committees choose the point that maximizes the lowest payout in the committee. Secondly, I test whether committees choose the point that minimizes the average distance to all committee members’ ideal-points. The experimental evidence clearly rejects both point predictions.

  10. Data and replication code for the analyses is available at the journal’s Dataverse page, doi:10.7910/DVN/LTJIDX.

  11. Instructions can be found in Supplementary Material 3.

  12. Circles have a radius of two standard errors of mean decisions in the five-period intervals. Supplementary Material 4 contains further information on the computation of confidence intervals.

  13. McKelvey et al.’s “competitive solution” (1978) was one of the earliest outlines of a preference-based constraint on majority rule. Committee decision making is conceived as a coalition formation game and the bargaining process behind the voting decision induces stability in decision making. However, the competitive solution was abandoned by its authors in light of negative experimental evidence (McKelvey and Ordeshook 1983).

References

  • Andreoni, J. (1995). Cooperation in public-goods experiments: Kindness or confusion? American Economic Review, 85(4), 891–904.

    Google Scholar 

  • Arrow, K. J. (1963). Social choice and individual values (2nd ed.). New Haven: Yale University Press.

    Google Scholar 

  • Belot, M., Duch, R. M., & Miller, L. (2015). A comprehensive comparison of students and non-students in classic experimental games. Journal of Economic Behavior & Organization, 113, 26–33.

    Article  Google Scholar 

  • Berl, J. E., McKelvey, R. D., Ordeshook, P. C., & Winer, M. D. (1976). An experimental test of the core in a simple n-person cooperative nonsidepayment game. Journal of Conflict Resolution, 20(3), 453–479.

    Article  Google Scholar 

  • Bianco, W. T., Lynch, M. S., Miller, G. J., & Sened, I. (2006). “A theory waiting to be discovered and used”: A reanalysis of canonical experiments on majority rule decision-making. Journal of Politics, 68(4), 838–851.

    Article  Google Scholar 

  • Bianco, W. T., Lynch, M. S., Miller, G. J., & Sened, I. (2008). The constrained instability of majority rule: Experiments on the robustness of the uncovered set. Political Analysis, 16(2), 115–137.

    Article  Google Scholar 

  • Bolton, G. E., & Ockenfels, A. (2000). ERC: A theory of equity, reciprocity, and competition. American Economic Review, 90(1), 166–193.

    Article  Google Scholar 

  • Camerer, C. (2003). Behavioral game theory. Experiments in strategic interaction. Princeton: Princeton University Press.

    Google Scholar 

  • Charness, G., & Rabin, M. (2002). Understanding social preferences with simple tests. Quarterly Journal of Economics, 117(3), 817–869.

    Article  Google Scholar 

  • Dahl, R. A. (1989). Democracy and its critics. New Haven and London: Yale University Press.

    Google Scholar 

  • Dufwenberg, M., & Kirchsteiger, G. (2004). A theory of sequential reciprocity. Games and Economic Behavior, 47(2), 268–298.

    Article  Google Scholar 

  • Eavey, C. L. (1991). Patterns of distribution in spatial games. Rationality and Society, 3(4), 450–474.

    Article  Google Scholar 

  • Eavey, C. L., & Miller, G. J. (1984a). Bureaucratic agenda control: Imposition or bargaining? American Political Science Review, 78(3), 719–733.

    Article  Google Scholar 

  • Eavey, C. L., & Miller, G. J. (1984b). Fairness in majority rule games with a core. American Journal of Political Science, 28(4), 570–586.

    Article  Google Scholar 

  • Edlin, A., Gelman, A., & Kaplan, N. (2007). Voting as a rational choice. Why and how people vote to improve the well-being of others. Rationality and Society, 19(3), 293–314.

    Article  Google Scholar 

  • Falk, A., & Fischbacher, U. (2006). A theory of reciprocity. Games and Economic Behavior, 54(2), 293–315.

    Article  Google Scholar 

  • Fehr, E., & Fischbacher, U. (2002). Why social preferences matter: The impact of non-selfish motives on competition, cooperation and incentives. Economic Journal, 112(478), C1–C33.

    Article  Google Scholar 

  • Fehr, E., & Schmidt, K. M. (1999). A theory of fairness, competition, and cooperation. Quarterly Journal of Economics, 114(3), 817–868.

    Article  Google Scholar 

  • Fiorina, M. P., & Plott, C. R. (1978). Committee decisions under majority rule: An experimental study. American Political Science Review, 72(2), 575–598.

    Article  Google Scholar 

  • Fischbacher, U. (2007). z-Tree: Zurich toolbox for ready-made economic experiments. Experimental Economics, 10(2), 171–178.

    Article  Google Scholar 

  • Fowler, J. H. (2006). Altruism and turnout. Journal of Politics, 68(3), 674–683.

    Article  Google Scholar 

  • Frohlich, N., & Oppenheimer, J. A. (2007). Justice preferences and the Arrow problem. Journal of Theoretical Politics, 19(4), 363–390.

    Article  Google Scholar 

  • Greiner, B. (2015). Subject pool recruitment procedures: Organizing experiments with ORSEE. Journal of the Economic Science Association, 1(1), 114–125.

    Article  Google Scholar 

  • Grelak, E., & Koford, K. (1997). A re-examination of the Fiorina-Plott and Eavey voting experiments: How much do cardinal payoffs influence outcomes? Journal of Economic Behavior & Organization, 32(4), 571–589.

    Article  Google Scholar 

  • Hoffman, E., & Plott, C. R. (1983). Pre-meeting discussions and the possibility of coalition-breaking procedures in majority rule committees. Public Choice, 40(1), 21–39.

    Article  Google Scholar 

  • Levine, D. K. (1998). Modeling altruism and spitefulness in experiments. Review of Economic Dynamics, 1(3), 593–622.

    Article  Google Scholar 

  • Mackie, G. (2003). Democracy defended. Cambridge: Cambridge University Press.

    Book  Google Scholar 

  • McGann, A. J. (2006). The logic of democracy. Reconciling equality, deliberation, and minority protection. Ann Arbor: University of Michigan Press.

    Book  Google Scholar 

  • McKelvey, R. D. (1976). Intransitivities in multidimensional voting models and some implications for agenda control. Journal of Economic Theory, 12(3), 472–482.

    Article  Google Scholar 

  • McKelvey, R. D. (1986). Covering, dominance, and institution-free properties of social choice. American Journal of Political Science, 30(2), 283–314.

    Article  Google Scholar 

  • McKelvey, R. D., & Ordeshook, P. C. (1983). Some experimental results that fail to support the competitive solution. Public Choice, 40(3), 281–291.

    Article  Google Scholar 

  • McKelvey, R. D., & Ordeshook, P. C. (1984). An experimental study of the effects of procedural rules on committee behavior. Journal of Politics, 46(1), 182–203.

    Article  Google Scholar 

  • McKelvey, R. D., & Ordeshook, P. C. (1990). A decade of experimental research on spatial models of elections and committees. In J. M. Enelow & M. J. Hinich (Eds.), Advances in the spatial theory of voting (pp. 99–144). Cambridge: Cambridge University Press.

    Chapter  Google Scholar 

  • McKelvey, R. D., Ordeshook, P. C., & Winer, M. D. (1978). The competitive solution for n-person games without transferable utility, with an application to committee games. American Political Science Review, 72(2), 599–615.

    Article  Google Scholar 

  • Miller, G. J. (2011). Legislative voting and cycling. In J. N. Druckman, D. P. Green, J. H. Kuklinski, & A. Lupia (Eds.), Cambridge handbook of experimental political science (pp. 353–368). Cambridge: Cambridge University Press.

    Chapter  Google Scholar 

  • Miller, G. J., & Oppenheimer, J. A. (1982). Universalism in experimental committees. American Political Science Review, 76(3), 561–574.

    Article  Google Scholar 

  • Miller, N. (1980). A new solution set for tournament and majority voting. American Journal of Political Science, 24(1), 68–96.

    Article  Google Scholar 

  • Morton, R. B., & Williams, K. C. (2010). Experimental political science and the study of causality: From nature to the lab. Cambridge: Cambridge University Press.

    Book  Google Scholar 

  • Ostrom, E. (2000). Collective action and the evolution of social norms. Journal of Economic Perspectives, 14(3), 137–158.

    Article  Google Scholar 

  • Plott, C. R. (1967). A notion of equilibrium and its possibility under majority rule. American Economic Review, 57(4), 787–806.

    Google Scholar 

  • Rabin, M. (1993). Incorporating fairness into game theory and economics. American Economic Review, 83(5), 1281–1302.

    Google Scholar 

  • Riker, W. H. (1982). Liberalism against populism. A confrontation between the theory of democracy and the theory of social choice. San Francisco: W. H. Freeman and Company.

    Google Scholar 

  • Riker, W. H. (1986). The art of political manipulation. New Haven and London: Yale University Press.

    Google Scholar 

  • Sauermann, J. (2016). Committee decisions under majority rule revisited. Journal of Experimental Political Science, 3(2), 185–196.

    Article  Google Scholar 

  • Sauermann, J., & Kaiser, A. (2010). Taking others into account: Self-interest and fairness in majority decision making. American Journal of Political Science, 54(3), 667–685.

    Article  Google Scholar 

  • Schofield, N. (1978). Instability of simple dynamic games. Review of Economic Studies, 45(3), 575–594.

    Article  Google Scholar 

  • Schotter, A. (2006). Strong and wrong. The use of rational choice theory in experimental economics. Journal of Theoretical Politics, 18(4), 498–511.

    Article  Google Scholar 

  • Shepsle, K. A. (1979). Institutional arrangements and equilibrium in multidimensional voting models. American Journal of Political Science, 23(1), 27–59.

    Article  Google Scholar 

  • Smith, V. L. (1976). Experimental economics: Induced value theory. American Economic Review, 66(2), 274–279.

    Google Scholar 

  • Sobel, J. (2005). Interdependent preferences and reciprocity. Journal of Economic Literature, 43(2), 392–436.

    Article  Google Scholar 

  • Tricomi, E., Rangel, A., Camerer, C. F., & O’Doherty, J. P. (2010). Neural evidence for inequality-averse social preferences. Nature, 462, 1089–1091.

    Article  Google Scholar 

  • Tyran, J.-R., & Sausgruber, R. (2006). A little fairness may induce a lot of redistribution in democracy. European Economic Review, 50(2), 469–485.

    Article  Google Scholar 

  • Wilson, R. K. (2008). Endogenous properties of equilibrium and disequilibrium in spatial committee games. In C. R. Plott & V. L. Smith (Eds.), Handbook of experimental economics results (Vol. 1, pp. 873–879). North-Holland: Elsevier.

    Google Scholar 

  • Wittman, D. (2003). When does altruism overcome the intransitivity of income redistribution. In A. Breton, G. Galeotti, P. Salmon, & R. Wintrobe (Eds.), Rational foundations of democratic politics (pp. 93–100). Cambridge: Cambridge University Press.

    Chapter  Google Scholar 

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Acknowledgements

This work has received generous funding from the Fritz Thyssen Foundation (Az. 20.12.0.075). Financial support from the German Research Foundation (DFG) for the Cologne Laboratory for Economic Research is also gratefully acknowledged. I would like to thank Holger Reinermann for his excellent research assistance. André Kaiser, Bernhard Kittel, the participants in the Preference Formation and Formal Models in Politics Panel at the ECPR General Conference 2014 in Glasgow and the participants of the first Gothenburg–Barcelona experimental workshop 2015 in Gothenburg and three anonymous reviewers provided valuable comments on the manuscript.

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All procedures performed in this study involving human participants were in accordance with the ethical standards of the University of Cologne and with the 1964 Helsinki declaration and its later amendments or comparable ethical standards.

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Sauermann, J. Do Individuals Value Distributional Fairness? How Inequality Affects Majority Decisions. Polit Behav 40, 809–829 (2018). https://doi.org/10.1007/s11109-017-9424-6

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