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New Apportionment Methods Using Simple Games

Author

Listed:
  • EVAN SHELLSHEAR

    (FCC, Chalmers Science Park, Göteborg, SE-412 88, Sweden)

Abstract

This paper investigates the suitability of new apportionment methods based on the idea of preserving the coalition function of the simple game generated by the populations of the states of some country. The new methods fill a gap in the literature concerning apportionment methods based on winning coalitions. The main results in this paper show that the new apportionment methods do not satisfy desirable properties such as house monotonicity, quota, etc.

Suggested Citation

  • Evan Shellshear, 2010. "New Apportionment Methods Using Simple Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 12(03), pages 211-222.
  • Handle: RePEc:wsi:igtrxx:v:12:y:2010:i:03:n:s0219198910002623
    DOI: 10.1142/S0219198910002623
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    More about this item

    Keywords

    Apportionment methods; simple games; winning coalitions; C71; D72;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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