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Voting over piece-wise linear tax methods

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  • MORENO-TERNERO, Juan D.

    (Universidad de Malaga, Spain; Universidad Pablo de Olavide, Seville, Spain; Université catholique de Louvain, CORE, B-1348 Louvain-la-Neuve, Belgium)

Abstract

We analyze the problem of choosing the most appropriate method for apportioning taxes in a democracy. We consider a simple theoretical model of taxation and restrict our attention to piece-wise linear tax methods, which are almost ubiquitous in advanced democracies world- wide. We show that if we allow agents to vote for any method within a rich domain of piece-wise linear methods, then a majority voting equilibrium exists. Furthermore, if most voters have income below mean income then each method within the domain can be supported in equilibrium.

Suggested Citation

  • MORENO-TERNERO, Juan D., 2010. "Voting over piece-wise linear tax methods," LIDAM Discussion Papers CORE 2010080, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvco:2010080
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    1. Juan Moreno-Ternero & Antonio Villar, 2006. "The TAL-Family of Rules for Bankruptcy Problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(2), pages 231-249, October.
    2. Belleflamme,Paul & Peitz,Martin, 2015. "Industrial Organization," Cambridge Books, Cambridge University Press, number 9781107687899.
    3. Mitra, Tapan & Ok, Efe A, 1996. "Personal Income Taxation and the Principle of Equal Sacrifice Revisited," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(4), pages 925-948, November.
    4. Marc Fleurbaey & François Maniquet, 2006. "Fair Income Tax," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(1), pages 55-83.
    5. Mitra, Tapan & Ok, Efe A., 1997. "On the Equitability of Progressive Taxation," Journal of Economic Theory, Elsevier, vol. 73(2), pages 316-334, April.
    6. Gans, Joshua S. & Smart, Michael, 1996. "Majority voting with single-crossing preferences," Journal of Public Economics, Elsevier, vol. 59(2), pages 219-237, February.
    7. Moulin, Herve, 2002. "Axiomatic cost and surplus sharing," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 6, pages 289-357, Elsevier.
    8. Pierre-Philippe Combes & Thierry Mayer & Jacques-François Thisse, 2008. "Economic Geography: The Integration of Regions and Nations," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00311000, HAL.
    9. Becker, Gary S., 1985. "Public policies, pressure groups, and dead weight costs," Journal of Public Economics, Elsevier, vol. 28(3), pages 329-347, December.
    10. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(2), pages 175-208.
    11. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.
    12. Winfried Pohlmeier & Luc Bauwens & David Veredas, 2007. "High frequency financial econometrics. Recent developments," ULB Institutional Repository 2013/136223, ULB -- Universite Libre de Bruxelles.
    13. Gouveia, Miguel & Oliver, David, 1996. "Voting over flat taxes in an endowment economy," Economics Letters, Elsevier, vol. 50(2), pages 251-258, February.
    14. Young, H. P., 1988. "Distributive justice in taxation," Journal of Economic Theory, Elsevier, vol. 44(2), pages 321-335, April.
    15. Fleurbaey, Marc, 2006. "Is commodity taxation unfair?," Journal of Public Economics, Elsevier, vol. 90(10-11), pages 1765-1787, November.
    16. Hamada, Koichi, 1973. "A simple majority rule on the distribution of income," Journal of Economic Theory, Elsevier, vol. 6(3), pages 243-264, June.
    17. John E. Roemer, 1999. "The Democratic Political Economy of Progressive Income Taxation," Econometrica, Econometric Society, vol. 67(1), pages 1-20, January.
    18. Juan D. Moreno‐Ternero & Antonio Villar, 2006. "On the Relative Equitability of a Family of Taxation Rules," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 8(2), pages 283-291, May.
    19. Marhuenda, Francisco & Ortuno-Ortin, Ignacio, 1998. "Income taxation, uncertainty and stability," Journal of Public Economics, Elsevier, vol. 67(2), pages 285-300, February.
    20. Rabah Amir, 2005. "Supermodularity and Complementarity in Economics: An Elementary Survey," Southern Economic Journal, John Wiley & Sons, vol. 71(3), pages 636-660, January.
    21. Roland Benabou, 2002. "Tax and Education Policy in a Heterogeneous-Agent Economy: What Levels of Redistribution Maximize Growth and Efficiency?," Econometrica, Econometric Society, vol. 70(2), pages 481-517, March.
    22. Claudio Ferraz & Frederico Finan, 2008. "Exposing Corrupt Politicians: The Effects of Brazil's Publicly Released Audits on Electoral Outcomes," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(2), pages 703-745.
    23. Donald Campbell, 1975. "Income distribution under majority rule and alternative taxation criteria," Public Choice, Springer, vol. 22(1), pages 23-35, June.
    24. Huriot,Jean-Marie & Thisse,Jacques-François (ed.), 2009. "Economics of Cities," Cambridge Books, Cambridge University Press, number 9780521118279, September.
    25. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
    26. Alesina, Alberto & Rosenthal, Howard, 1996. "A Theory of Divided Government," Econometrica, Econometric Society, vol. 64(6), pages 1311-1341, November.
    27. Le Breton, Michel & Moyes, Patrick & Trannoy, Alain, 1996. "Inequality Reducing Properties of Composite Taxation," Journal of Economic Theory, Elsevier, vol. 69(1), pages 71-103, April.
    28. Ok, Efe A., 1995. "On the principle of equal sacrifice in income taxation," Journal of Public Economics, Elsevier, vol. 58(3), pages 453-467, November.
    29. Romer, Thomas, 1975. "Individual welfare, majority voting, and the properties of a linear income tax," Journal of Public Economics, Elsevier, vol. 4(2), pages 163-185, February.
    30. Roland Benabou, 2000. "Unequal Societies: Income Distribution and the Social Contract," American Economic Review, American Economic Association, vol. 90(1), pages 96-129, March.
    31. Roberts, Kevin W. S., 1977. "Voting over income tax schedules," Journal of Public Economics, Elsevier, vol. 8(3), pages 329-340, December.
    32. Luc Bauwens & Winfried Pohlmeier & David Veredas (ed.), 2008. "High Frequency Financial Econometrics," Studies in Empirical Economics, Springer, number 978-3-7908-1992-2, September.
    33. William Thomson, 2008. "Two families of rules for the adjudication of conflicting claims," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(4), pages 667-692, December.
    34. Rundquist, Barry S. & Strom, Gerald S. & Peters, John G., 1977. "Corrupt Politicians and Their Electoral Support: Some Experimental Observations," American Political Science Review, Cambridge University Press, vol. 71(3), pages 954-963, September.
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    Citations

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    Cited by:

    1. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2023. "Decentralized revenue sharing from broadcasting sports," Public Choice, Springer, vol. 194(1), pages 27-44, January.
    2. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2019. "A family of rules to share the revenues from broadcasting sport events," MPRA Paper 94310, University Library of Munich, Germany, revised 04 Jun 2019.
    3. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2021. "Compromising to share the revenues from broadcasting sports leagues," Journal of Economic Behavior & Organization, Elsevier, vol. 183(C), pages 57-74.
    4. Juan D. Moreno-Ternero & Tim Pawlowski & Shlomo Weber, 2024. "Domestic Competitive Balance and International Success: The Case of The Football Industry," Papers 2402.08396, arXiv.org.
    5. Biung-Ghi Ju & Juan D. Moreno-Ternero, 2023. "Taxation behind the veil of ignorance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 165-181, January.
    6. Juan D. Moreno-Ternero & Min-Hung Tsay & Chun-Hsien Yeh, 2020. "A strategic justification of the Talmud rule based on lower and upper bounds," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(4), pages 1045-1057, December.
    7. René Brink & Juan D. Moreno-Ternero, 2017. "The reverse TAL-family of rules for bankruptcy problems," Annals of Operations Research, Springer, vol. 254(1), pages 449-465, July.
    8. Chambers, Christopher P. & Moreno-Ternero, Juan D., 2021. "Bilateral redistribution," Journal of Mathematical Economics, Elsevier, vol. 96(C).
    9. Gustavo Bergantiños & Juan D. Moreno-Ternero, 2022. "On the axiomatic approach to sharing the revenues from broadcasting sports leagues," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(2), pages 321-347, February.
    10. Słomczyński, Wojciech & Życzkowski, Karol, 2012. "Mathematical aspects of degressive proportionality," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 94-101.
    11. Juan D. Moreno‐Ternero & Min‐Hung Tsay & Chun‐Hsien Yeh, 2022. "Strategic justifications of the TAL family of rules for bankruptcy problems," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(1), pages 92-102, March.
    12. Thomson, William, 2015. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: An update," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 41-59.

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    More about this item

    Keywords

    voting; taxes; majority; single-crossing; Talmud;
    All these keywords.

    JEL classification:

    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • H24 - Public Economics - - Taxation, Subsidies, and Revenue - - - Personal Income and Other Nonbusiness Taxes and Subsidies

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