中文摘要：

采用博弈论的方法,提出一种新的理性秘密共享方案.该方案具有以下特点：基于椭圆曲线密码体制,能检验出分发者和参与者的欺骗行为;在密钥重构阶段,不需要可信者参与;将真秘密放在一系列假秘密之中,参与者不知当前轮是否是测试轮;参与者偏离协议不如遵守协议的收益大,理性的参与者有动机遵守协议;最终每位参与者公平地得到秘密.分析表明方案是简单、公平和有效的.

英文摘要：

A new scheme for rational secret sharing is proposed in game theoretic settings.The scheme has the following characteristics.The scheme is based on elliptic curve cryptography and it is verifiable.The dealer＇s and the participants＇ cheat can be detected.In addition,the participation of the trusted party is not needed in the secret reconstruction stage.The scheme inserts the secret into a series of fake secrets,and participants do not know whether the current round is a test round.The scheme gives rational players incentives to abide by the protocol.Finally,every player can obtain the secret fairly.Analyses indicate that the scheme is simple,fair,and effective.