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Feasible Implementation of Taxation Methods

This paper studies the problem of implementation of taxation methods in one-commodity environments in which the taxable incomes of the (at least two) agents are fixed and not known to the planner. In this problem (unlike most work in implementation theory), the feasible set is unknown to the designer. We first show that feasibility out of equilibrium imposes that the mechanism depend on the environment. Next we present two game forms. In the first one, which requires complete information among the tax payers, each agent reports the incomes of all players to a central agency, and implementation of every taxation method is obtained in Nash, strong and coalition-proof equilibrium. In the second, informational requirements may be somewhat relaxed. One of the agents makes a tax proposal, the others bargain with him, and the services of a central agency are used only to solve disputes between pairs of agents. This game form implements a large class of consistent and monotone taxation methods in subgame perfect equilibrium. Neither mechanism employs the off-equilibrium devices used by the general theory. Partial departures from complete information still allow for implementability. However, under fully private information implementation is not possible.

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Paper provided by Nir Dagan in its series Economic theory and game theory with number 009.

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Date of creation: 1999
Date of revision:
Publication status: Published in Review of Economic Design 4:57-72 (1999)
Handle: RePEc:nid:ndagan:009
Contact details of provider: Postal: Nir Dagan, Dept. of Economics and Management, Tel-Hai Academic College, Upper Galilee, Israel.
Web page: http://www.nirdagan.com/research/

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  1. Young, H. P., 1988. "Distributive justice in taxation," Journal of Economic Theory, Elsevier, vol. 44(2), pages 321-335, April.
  2. O'Neill, Barry, 1982. "A problem of rights arbitration from the Talmud," Mathematical Social Sciences, Elsevier, vol. 2(4), pages 345-371, June.
  3. Roberto Serrano & Rajiv Vohra, 1997. "Non-cooperative implementation of the core," Social Choice and Welfare, Springer, vol. 14(4), pages 513-525.
  4. Tian, Guoqiang, 1993. "Implementing Lindahl allocations by a withholding mechanism," Journal of Mathematical Economics, Elsevier, vol. 22(2), pages 169-179.
  5. Volij, Oscar & Dagan, Nir & Serrano, Roberto, 1997. "A Non-Cooperative View of Consistent Bankruptcy Rules," Staff General Research Papers 5130, Iowa State University, Department of Economics.
  6. Nir Dagan, 1994. "On the Least Sacrifice Principle in Taxation," Economic theory and game theory 008, Nir Dagan, revised Feb 2008.
  7. Thomson, A., 1989. "The Consistency Principle," RCER Working Papers 192, University of Rochester - Center for Economic Research (RCER).
  8. Matthew 0. Jackson, 1989. "Implementation in Undominated Strategies - A Look at Bounded Mechanisms," Discussion Papers 833, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  9. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
  10. Eric Maskin, 1998. "Nash Equilibrium and Welfare Optimality," Harvard Institute of Economic Research Working Papers 1829, Harvard - Institute of Economic Research.
  11. Tian Guoqiang, 1994. "Implementation of Linear Cost Share Equilibrium Allocations," Journal of Economic Theory, Elsevier, vol. 64(2), pages 568-584, December.
  12. Tian, Guoqiang, 1989. "Implementation of the Lindahl Correspondence by a Single-Valued, Feasible, and Continuous Mechanism," Review of Economic Studies, Wiley Blackwell, vol. 56(4), pages 613-21, October.
  13. Piketty Thomas, 1993. "Implementation of First-Best Allocations via Generalized Tax Schedules," Journal of Economic Theory, Elsevier, vol. 61(1), pages 23-41, October.
  14. Young, H. P., 1987. "Progressive taxation and the equal sacrifice principle," Journal of Public Economics, Elsevier, vol. 32(2), pages 203-214, March.
  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. 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.
  17. E. Maskin, 1983. "The Theory of Implementation in Nash Equilibrium: A Survey," Working papers 333, Massachusetts Institute of Technology (MIT), Department of Economics.
  18. Postlewaite, Andrew & Wettstein, David, 1989. "Feasible and Continuous Implementation," Review of Economic Studies, Wiley Blackwell, vol. 56(4), pages 603-11, October.
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