A Computational Game Theoretic Framework for Cryptography

Abstract

We develop a definition of protocol security relying on game-theoretic notions of implementation. We show that a natural special case of this this definition is equivalent to a variant of the traditional cryptographic definition of protocol security; this result shows that, when taking computation into account, the two approaches used for dealing with "deviating" players in two different communities--Nash equilibrium in game theory and zero-knowledge "simulation" in cryptography--are intimately related. Other special cases of our definition instead lead to more practical protocols and circumvent known lower bounds with respect to the cryptographic notion of security.

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Document Details

Document Type
Technical Report
Publication Date
Dec 31, 2009
Accession Number
AD1020533

Entities

People

  • Joseph Halpern
  • Rafael Pass

Organizations

  • Cornell University

Tags

Communities of Interest

  • Engineered Resilient Systems
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Artificial Intelligence
  • Automata
  • Computer Science
  • Cryptography
  • Distributed Computing
  • Game Theory
  • Motivation
  • Notation
  • Probability
  • Probability Distributions
  • Random Variables
  • Security Protocols
  • Simulations
  • Simulators
  • Theoretical Computer Science
  • Zero-Sum Games

Fields of Study

  • Computer science
  • Mathematics

Readers

  • Game Theory.
  • Mathematical Modeling and Probability Theory.
  • Strategic Security Studies

Technology Areas

  • Cyber
  • Cyber - Cryptography