Journal on Communications ›› 2015, Vol. 36 ›› Issue (5): 148-155.doi: 10.11959/j.issn.1000-436x.2015189

• Academic paper • Previous Articles     Next Articles

Analysis and construction for threshold signature scheme based on game theory

ANGJie W1,2,AIYong-quan C2,IANYou-liang T3   

  1. 1 College of Computer Science,Beijing University of Technology,Beijing 100124,China
    2 College of Mathematics & Computer Science,Shanxi Normal University,Linfen 041004,China
    3 College of Science,Guizhou University,Guiyang 550025,China
  • Online:2015-05-20 Published:2015-07-17
  • Supported by:
    The National Natural Science Foundation of China;The National Natural Science Foundation of China;The Natural Science Foundation of Beijing

Abstract:

The concept of “rational player” is introduced to make threshold signature system more general.In this new primitive,all players are regarded as rational individuals in the sense that they always try to maximize their profits as the goal at any phases.Each player's strategy and utility in key generation and signature synthesis phases are analyzed based on game theory.It is proved that rational players have no motivation to participate in signature in traditional threshold signature scheme,which might cause it impossible to complete threshold signature.Finally,the mechanism of rational key distribution and rational signature synthesis is proposed.Analysis shows the new method is more applicable than the previous schemes in the real-world applications.

Key words: game theory, threshold signature, bilinear pairings, BDH assumption, Nash equilibrium

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