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[Keyword] strategic manipulation(1hit)

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  • Successful Manipulation in Stable Marriage Model with Complete Preference Lists

    Hirotatsu KOBAYASHI  Tomomi MATSUI  

     
    PAPER

      Vol:
    E92-D No:2
      Page(s):
    116-119

    This paper deals with a strategic issue in the stable marriage model with complete preference lists (i.e., a preference list of an agent is a permutation of all the members of the opposite sex). Given complete preference lists of n men over n women, and a marriage µ, we consider the problem for finding preference lists of n women over n men such that the men-proposing deferred acceptance algorithm (Gale-Shapley algorithm) adopted to the lists produces µ. We show a simple necessary and sufficient condition for the existence of a set of preference lists of women over men. Our condition directly gives an O(n2) time algorithm for finding a set of preference lists, if it exists.