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Gale's fixed tax for exchanging houses

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  • ANDERSSON, Tommy
  • EHLERS, Lars
  • SVENSSON, Lars-Gunnar
  • TIERNEY, Ryan

Abstract

We consider the taxation of exchanges among a set of agents where each agent owns one object. Agents may have different valuations for the objects and they need to pay taxes for exchanges. Using basic properties, we show that if pairwise (or some) exchanges of objects are allowed, then all exchanges (in any possible manner) must be feasible. Furthermore, whenever any agent exchanges his object, he pays the same fixed tax (a lump sum payment which is identical for all agents) independently of which object he consumes. Gale's top trading cycles algorithm finds the final allocation using the agents' valuations adjusted with the fixed tax. Our mechanisms are in stark contrast to Clarke-Groves taxation schemes or the max-med schemes proposed by Sprumont (2013).

Suggested Citation

  • ANDERSSON, Tommy & EHLERS, Lars & SVENSSON, Lars-Gunnar & TIERNEY, Ryan, 2018. "Gale's fixed tax for exchanging houses," Cahiers de recherche 2018-05, Universite de Montreal, Departement de sciences economiques.
    • Handle: RePEc:mtl:montde:2018-05
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    File URL: http://hdl.handle.net/1866/20651
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    References listed on IDEAS

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    1. Ehlers, Lars, 2014. "Top trading with fixed tie-breaking in markets with indivisible goods," Journal of Economic Theory, Elsevier, vol. 151(C), pages 64-87.
    2. Lars-Gunnar Svensson, 2009. "Coalitional strategy-proofness and fairness," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(2), pages 227-245, August.
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    More about this item

    Keywords

    Fixed tax; exchanges; top trading;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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