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中文摘要：
为了使门限签名体制更具有普适性，引入了“理性参与人”的概念，将所有参与者视为理性的个体，任何阶段以最大化自身利益为目标。基于博弈论对密钥生成和签名合成阶段各参与者的策略和效用进行了分析，证明了在传统门限签名方案中理性参与者没有动机参与签名，导致无法完成对消息的签名，并提出了理性密钥分发和理性签名合成的解决机制。经分析该方法能更好地满足实际需求。
英文摘要：
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.
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