基于博弈论的门限签名体制分析与构造

王洁; 蔡永泉; 田有亮

doi:10.11959/j.issn.1000-436x.2015189

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基于博弈论的门限签名体制分析与构造

学术论文 | 更新时间：2024-06-05

- 基于博弈论的门限签名体制分析与构造
- Analysis and construction for threshold signature scheme based on game theory
- 通信学报 2015年36卷第5期页码：148-155
- 作者机构：
  
  1. 北京工业大学计算机学院，北京 100124
  2. 山西师范大学数学与计算机学院，山西临汾 041004
  3. 贵州大学理学院，贵州贵阳550025
- 作者简介：
  
  [ "王洁（1977-），女，山西霍州人，北京工业大学博士生，山西师范大学副教授，主要研究方向为信息安全、算法博弈论。" ]
  [ "蔡永泉（1956-），男，安徽肥东人，北京工业大学教授、博士生导师，主要研究方向为信息安全、密码学理论与应用。" ]
  [ "田有亮（1982-），男，贵州盘县人，博士，贵州大学副教授、硕士生导师，主要研究方向为算法博弈论、密码学与安全协议等。" ]
- 基金信息：
  
  国家自然科学基金资助项目(61170221);国家自然科学基金资助项目(61363068);北京市自然科学基金资助项目(1102003)
- DOI：10.11959/j.issn.1000-436x.2015189
  中图分类号： TP309
- 网络出版日期：2015-05，
  
  纸质出版日期：2015-05-25
- 稿件说明：
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王洁, 蔡永泉, 田有亮. 基于博弈论的门限签名体制分析与构造[J]. 通信学报, 2015,36(5):148-155.

ANGJie W, AIYong-quan C, IANYou-liang T. Analysis and construction for threshold signature scheme based on game theory[J]. Journal on communications, 2015, 36(5): 148-155.
王洁, 蔡永泉, 田有亮. 基于博弈论的门限签名体制分析与构造[J]. 通信学报, 2015,36(5):148-155. DOI： 10.11959/j.issn.1000-436x.2015189.

ANGJie W, AIYong-quan C, IANYou-liang T. Analysis and construction for threshold signature scheme based on game theory[J]. Journal on communications, 2015, 36(5): 148-155. DOI： 10.11959/j.issn.1000-436x.2015189.

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。

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.

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references

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