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A note on contestation-based tournament solutions

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  • Scott Moser

Abstract

In tournaments, one alternative contests another if is a “winner” among only alternatives that beat it. This paper examines the consequences and limitations of the contestation relation by considering a procedure in which alternatives that are contested are iteratively eliminated from consideration. In doing so, a new family of tournament solutions are introduced and related to existing refinements of the Banks set. Findings show that iterated removal of contested alternatives a limited device for choosing from tournaments. These results contrast with results regarding the top-set of the contestation relation. Results highlight the role of the top-set operator for choice from tournaments. Copyright Springer-Verlag 2013

Suggested Citation

  • Scott Moser, 2013. "A note on contestation-based tournament solutions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(1), pages 133-143, June.
    • Handle: RePEc:spr:sochwe:v:41:y:2013:i:1:p:133-143
    DOI: 10.1007/s00355-012-0672-4
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    References listed on IDEAS

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    1. Nicolas Houy, 2009. "Still more on the Tournament Equilibrium Set," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(1), pages 93-99, January.
    2. Felix Brandt & Felix Fischer & Paul Harrenstein & Maximilian Mair, 2010. "A computational analysis of the tournament equilibrium set," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(4), pages 597-609, April.
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