A note on contestation-based tournament solutions

Scott Moser ()

Social Choice and Welfare, 2013, vol. 41, issue 1, 133-143

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

Date: 2013
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DOI: 10.1007/s00355-012-0672-4

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