Skip to main content
Log in

Elections and income redistribution

  • Published:
Public Choice Aims and scope Submit manuscript

Conclusion

This paper has analyzed a model of elections in which each candidate selects a reputation for the distribution of income that can be expected if he is elected. The first result established that, whenever there are three or more groups of voters and no single group has half or more of the voters, if the candidates believe that the voters' choices are determined solely by the candidates' redistributional reputations, then there is no electoral equilibrium. The candidates' expectations about the voters' choices were then reformulated, using a qualitative response model. The next result established that this alternative model leads to the existence of electoral equilibria. The remainder of the paper analyzed the nature of these equilibria (for any given electorate). Among other things, the results established that there is always a unique equilibrium, provided a simple procedure for finding the precise location of this equilibrium, and showed that this location implicitly maximizes the sum of the voters' utility functions on the possible income distributions. The penultimate sections provided some simple examples which illustrate the main results in the paper and a discussion of these results in terms of the politics of redistribution.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Aranson, P. and Ordeshook, P. (1972) Spatial Strategies for Sequential Elections. Probability Models of Collective Decision-Making, (eds.) R. Niemi and H. Weisberg. Columbus: Merrill.

    Google Scholar 

  • — and — (1981) Regulation, Redistribution, and Public Choice. Public Choice, 37: 69–100.

    Google Scholar 

  • Arrow, K. (1963) Social Choice and Individual Values. 2nd ed. New York: Wiley.

    Google Scholar 

  • Amemiya, T. (1981) Qualitative Response Models: A Survey. Journal of Economic Literature, 19: 483–536.

    Google Scholar 

  • Bernhard, M.D. and Ingberman, D. (1985) Candidate Reputations and the "Incumbency Effect." Journal of Public Economics, 27: 47–67.

    Google Scholar 

  • Bernoulli, D. (1954) Exposition of a New Theory on the Measurement of Risk (translated by L. Sommer). Econometrica 22: 23–36. Translation of: Specimen Theoriae Novae de Mensura Sortis. Commentarii Academiae Scientiarum Imperiales Petropolitanae 5 (1978): 175–192.

    Google Scholar 

  • Coleman, J. (1972) The Positions of Political Parties in Elections. Probability Models of Collective Decision-Making, (eds.) R. Niemi and H. Weisberg. Columbus: Merrill.

    Google Scholar 

  • Coughlin, P. and Nitzan, S. (1981a) Electoral Outcomes With Probabilistic Voting and Nash Social Welfare Maxima. Journal of Public Economics, 15: 113–122.

    Google Scholar 

  • — and — (1981b) Directional and Local Electoral Equilibria With Probabilistic Voting. Journal of Economic Theory, 24: 226–240.

    Google Scholar 

  • Debreu, G. (1959) Theory of Value. New York: Wiley.

    Google Scholar 

  • Dhrymes, P. (1978) Introductory Econometrics New York: Springer-Verlag.

    Google Scholar 

  • Enelow, J. and Hinich, M. (1984) The Spatial Theory of Voting. Cambridge: Cambridge University Press.

    Google Scholar 

  • Hinich, M. (1977) Equilibrium in Spatial Voting: The Median Voter Result is an Artifact. Journal of Economic Theory, 16: 208–219.

    Google Scholar 

  • -- (1986) Policy Formation in a Representative Democracy. Working Paper, University of Texas at Austin.

  • Hinich, M., Ledyard, J., and Ordeshook, P. (1972) Nonvoting and the Existence of Equilibrium Under Majority Rule. Journal of Economic Theory, 4: 144–153.

    Google Scholar 

  • —, —, and — (1973) A Theory of Electoral Equilibrium: A Spatial Analysis Based on the Theory of Games. Journal of Politics, 35: 154–193.

    Google Scholar 

  • Intriligator, M. (1979) Income Redistribution: A Probabilistic Approach. American Economic Review, 69: 97–105.

    Google Scholar 

  • Kakutani, S. (1941) A Generalization of Brouwer's Fixed-Point Theorem. Duke Mathematics Journal, 8: 457–459.

    Google Scholar 

  • Kramer, G. (1973) On a Class of Equilibrium Conditions for Majority Rule. Econometrica, 41: 285–297.

    Google Scholar 

  • — (1977) Theories of Political Processes. Frontiers of Quantitative Economics, III, (ed.) M. Intriligator. New York: North-Holland.

    Google Scholar 

  • Kreps, D. and Wilson, R. (1982) Reputation and Imperfect Information. Journal of Economic Theory, 27: 253–279.

    Google Scholar 

  • Ledyard, J. (1981) The Paradox of Voting and Candidate Competition: A General Equilibrium Analysis. Essays in Contemporary Fields on Economics, (eds.) G. Horwich and J. Quirk. West Lafayette: Purdue University Press.

    Google Scholar 

  • — (1984) The Pure Theory of Large Two-Candidate Elections. Public Choice, 44: 7–41.

    Google Scholar 

  • Luce, R.D. and Raiffa, H. (1957) Games and Decisions. New York: Wiley.

    Google Scholar 

  • Luce R.D. and Suppes, P. (1965) Preferences, Utility and Subjective Probability. Handbook of Mathematical Psychology, (eds.) R.D. Luce, et al. New York: Wiley.

    Google Scholar 

  • Maddala, G.S. (1983) Limited Dependent and Qualitative Variables in Econometrics. Cambridge: Cambridge University Press.

    Google Scholar 

  • McFadden, D. (1974) Conditional Logit Analysis of Qualitative Choice Behavior. Frontiers of Econometrics, (ed.) P. Zarembka. New York: Academic Press.

    Google Scholar 

  • — (1976) Quantal Choice Analysis: A Survey. Annals of Economic and Social Measurement, 5: 363–390.

    Google Scholar 

  • — (1978) Modeling the Choice of Residential Location. Spatial Interaction Theory and Residential Location, (eds.) A. Karquist, et al. Amsterdam: North-Holland.

    Google Scholar 

  • — (1981) Econometric Models of Probabilistic Choice. Structural Analysis of Discrete Data, (eds.) C. Manski and D. McFadden. Cambridge: MIT Press.

    Google Scholar 

  • — (1982) Qualitative Response Models. Advances in Econometrics, (ed.) W. Hildenbrand. Cambridge: Cambridge University Press.

    Google Scholar 

  • McKelvey, R. (1975) Policy Related Voting and Electoral Equilibria. Econometrica, 43: 815–844.

    Google Scholar 

  • Milgrom, P. and Roberts, J. (1982) Predation, Reputation and Entry Deterrence. Journal of Economic Theory, 27: 280–312.

    Google Scholar 

  • Morton, R. (1984) Interest Groups and Majority Voting. Ph.D. Dissertation, Tulane University.

  • Mueller, D. (1976) Public Choice: A Survey. Journal of Economic Literature, 14: 395–433.

    Google Scholar 

  • — (1979) Public Choice. Cambridge: Cambridge University Press.

    Google Scholar 

  • — (1982) Redistribution, Growth, and Political Stability. American Economic Review, 72: 155–159.

    Google Scholar 

  • — (1983) The Political Economy of Growth and Redistribution. The Political Economy of Growth, (ed.) D. Mueller. New Haven: Yale University Press.

    Google Scholar 

  • — and Von Furstenberg, G. (1971) The Pareto Optimal Approach to Income Redistribution: A Fiscal Application. American Economic Review, 61: 628–637.

    Google Scholar 

  • Owen, G. (1982) Game Theory. New York: Academic Press.

    Google Scholar 

  • Plott, C. (1971) Recent Results in the Theory of Voting. Frontiers of Quantitative Economics, I (ed.) M. Intriligator. New York: North Holland.

    Google Scholar 

  • Roberts, F. (1979) Measurement Theory, Encyclopedia of Mathematics and its Applications, 7. Reading: Addison-Wesley.

    Google Scholar 

  • Sen, A. (1973) On Economic Inequality. Oxford: Clarendon.

    Google Scholar 

  • Stigler, G. (1970) Director's Law of Public Income Redistribution. Journal of Law and Economics, 13: 1–10.

    Google Scholar 

  • Sydsaeter, K. (1981) Topics in Mathematical Analysis for Economists. New York: Academic Press.

    Google Scholar 

  • Von Neumann, J. and Morgenstern, O. (1953) Theory of Games and Economic Behavior. 3rd ed. Princeton: Princeton University Press.

    Google Scholar 

  • Ward, B. (1961) Majority Rule and Allocation. Journal of Conflict Resolution, 5: 379–389.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This research was supported by the General Research Board of the Graduate School of the University of Maryland at College Park. I would also like to acknowledge helpful comments and suggestions provided by Melvin Hinich, Anne Krueger, John Ledyard, Dennis Mueller, Steven Slutsky, and Tom Romer.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Coughlin, P.J. Elections and income redistribution. Public Choice 50, 27–91 (1986). https://doi.org/10.1007/BF00124925

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00124925

Keywords

Navigation