The byzantine brides problem

  • Authors:
  • Swan Dubois;Sébastien Tixeuil;Nini Zhu

  • Affiliations:
  • UPMC Sorbonne Universités & Inria, France;UPMC Sorbonne Universités & Institut Universitaire de France, France;UPMC Sorbonne Universités, France

  • Venue:
  • FUN'12 Proceedings of the 6th international conference on Fun with Algorithms
  • Year:
  • 2012

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Abstract

We investigate the hardness of establishing as many stable marriages (that is, marriages that last forever) in a population whose memory is placed in some arbitrary state with respect to the considered problem, and where traitors try to jeopardize the whole process by behaving in a harmful manner. On the negative side, we demonstrate that no solution that is completely insensitive to traitors can exist, and we propose a protocol for the problem that is optimal with respect to the traitor containment radius.