基于马尔可夫决策的理性秘密共享方案

发布时间：2018-08-18 11:40

【摘要】：基于马尔可夫决策理论研究理性密码共享系统模型和秘密重构方法。首先利用马尔可夫决策方法,提出适合于理性秘密共享的系统模型,该模型包括参与者集合、状态集合、风险偏好函数、状态转移函数、回报函数等。在模型中,引入秘密重构中的参与者的风险偏好函数刻画秘密共享模型的状态集合和状态转移函数。其次,基于所提出的系统模型构造相应的理性秘密共享方案,基于马尔可夫策略解决各理性参与者在秘密共享方案中的秘密重构问题。最后对方案进行理论分析证明,给出理性秘密重构方案中折扣因子、回报函数、参与者风险偏好函数间的函数关系,其结果表明所提系统模型方法的合理性和有效性。
[Abstract]:Based on Markov decision theory, this paper studies the model of rational cryptographic sharing system and the method of secret reconstruction. Firstly, a system model suitable for rational secret sharing is proposed by using Markov decision method. The model includes participant set, state set, risk preference function, state transition function, return function and so on. In the model, the risk preference function of the participants in the secret reconstruction is introduced to describe the state set and the state transition function of the secret sharing model. Secondly, the rational secret sharing scheme is constructed based on the proposed system model, and the secret reconstruction problem of each rational participant in the secret sharing scheme is solved based on Markov strategy. Finally, the theoretical analysis of the scheme is carried out, and the functional relationships among discount factor, return function and participant risk preference function in the rational secret reconstruction scheme are given. The results show the rationality and validity of the proposed system model method.
【作者单位】：贵州大学理学院;贵阳职业技术学院;
【基金】：国家自然科学基金资助项目(61170280,61363068,61472310) 中国博士后基金资助项目(2013M530705) 贵州省自然科学基金资助项目(20132112) 贵州大学博士基金资助项目(2012-024) 贵州大学青年基金资助项目(201305)~~
【分类号】：TN918.4

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