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The Converse Problem: The Group of Schedules to Correspond to a Given Voting Matrix

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The Theory of Committees and Elections by Duncan Black and Committee Decisions with Complementary Valuation by Duncan Black and R.A. Newing

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Abstract

We have seen that given any set of preference schedules it is possible to obtain the corresponding matrix. The converse problem is: Given any matrix is it possible to find a corresponding set of schedules?

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Notes

  1. If the total number of voters is known, a further equation is added.

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Author information

Authors and Affiliations

  1. Nuffield College, Oxford, England

    Iain McLean (Official Fellow in Politics)

  2. Nuffield College, Oxford, England

    Alistair McMillan (Research Officer)

  3. Indiana University, USA

    Burt L. Monroe (Assistant Professor of Political Science)

Authors
  1. Iain McLean
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  2. Alistair McMillan
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  3. Burt L. Monroe
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Editor information

Editors and Affiliations

  1. Nuffield College, Oxford, England

    Iain McLean (Official Fellow in Politics) (Official Fellow in Politics)

  2. Nuffield College, Oxford, England

    Alistair McMillan (Research Officer) (Research Officer)

  3. Indiana University, USA

    Burt L. Monroe (Assistant Professor of Political Science) (Assistant Professor of Political Science)

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© 1998 Springer Science+Business Media New York

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McLean, I., McMillan, A., Monroe, B.L. (1998). The Converse Problem: The Group of Schedules to Correspond to a Given Voting Matrix. In: McLean, I., McMillan, A., Monroe, B.L. (eds) The Theory of Committees and Elections by Duncan Black and Committee Decisions with Complementary Valuation by Duncan Black and R.A. Newing. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4860-3_15

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  • DOI: https://doi.org/10.1007/978-94-011-4860-3_15

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6036-3

  • Online ISBN: 978-94-011-4860-3

  • eBook Packages: Springer Book Archive

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