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Procedurally Fair Income Taxation Schemes

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  • Herings P. Jean-Jacques
  • Predtetchinski A.

    (METEOR)

Abstract

We study the implications of procedural fairness on income taxation. All taxation schemes areallowed for, up to the constraints implied by incentive compatibility and budget balance. Weformulate procedural fairness as a particular non-cooperative bargaining game and examine thestationary subgame perfect equilibria of the game. The equilibrium outcome is called taxequilibrium and is shown to be unique. Procedurally fair taxation schemes are defined as thetaxation schemes that result in the limit of tax equilibria when the probability that negotiationsbreak down converges to zero. The procedurally fair taxation scheme is shown to be unique. It isshown to correspond to the taxation scheme resulting from the Nash bargaining solution and leadsto full redistribution of income.

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Paper provided by Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR) in its series Research Memorandum with number 035.

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Date of creation: 2011
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Handle: RePEc:unm:umamet:2011035

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Keywords: public economics ;

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  1. 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.
  2. Ariel Rubinstein, 2010. "Perfect Equilibrium in a Bargaining Model," Levine's Working Paper Archive 252, David K. Levine.
  3. Roth, Alvin E, 1985. "A Note on Risk Aversion in a Perfect Equilibrium Model of Bargaining," Econometrica, Econometric Society, vol. 53(1), pages 207-11, January.
  4. John E. Roemer, . "The Democratic Political Economy Of Progressive Income Taxation," Department of Economics 97-11, California Davis - Department of Economics.
  5. Sergiu Hart & Andreu Mas-Colell, 1994. "Bargaining and value," Economics Working Papers 114, Department of Economics and Business, Universitat Pompeu Fabra, revised Feb 1995.
  6. Cardona, Daniel & Ponsati, Clara, 2007. "Bargaining one-dimensional social choices," Journal of Economic Theory, Elsevier, vol. 137(1), pages 627-651, November.
  7. Tasos Kalandrakis, 2004. "Regularity of Pure Strategy Equilibrium Points in a Class of Bargaining Games," Wallis Working Papers WP37, University of Rochester - Wallis Institute of Political Economy.
  8. Gary E. Bolton & Jordi Brandts & Axel Ockenfels, 2000. "Fair Procedures. Evidence from Games Involving Lotteries," UFAE and IAE Working Papers 483.01, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  9. Merlo, Antonio & Wilson, Charles A, 1995. "A Stochastic Model of Sequential Bargaining with Complete Information," Econometrica, Econometric Society, vol. 63(2), pages 371-99, March.
  10. Seok-ju Cho & John Duggan, 2001. "Uniqueness of Stationary Equilibria in a one-Dimensional Model of Bargaining," Wallis Working Papers WP23, University of Rochester - Wallis Institute of Political Economy.
  11. Hannu Vartiainen & Klaus Kultti, 2007. "Multilateral Non-Cooperative Bargaining in a General Utility Space," Discussion Papers 19, Aboa Centre for Economics.
  12. Predtetchinski Arkadi, 2009. "On the asymptotic uniqueness of bargaining equilibria," Research Memorandum 021, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  13. Laruelle, Annick & Valenciano, Federico, 2007. "Bargaining in committees as an extension of Nash's bargaining theory," Journal of Economic Theory, Elsevier, vol. 132(1), pages 291-305, January.
  14. Imai, Haruo & Salonen, Hannu, 2000. "The representative Nash solution for two-sided bargaining problems," Mathematical Social Sciences, Elsevier, vol. 39(3), pages 349-365, May.
  15. Mirrlees, James A, 1971. "An Exploration in the Theory of Optimum Income Taxation," Review of Economic Studies, Wiley Blackwell, vol. 38(114), pages 175-208, April.
  16. Herings P. Jean-Jacques & Predtetchinski Arkadi, 2011. "Procedurally Fair Taxation," Research Memorandum 024, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
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