Password Security as a Game of Entropies

We consider a formal model of password security, in which two actors engage in a competition of optimal password choice against potential attacks. The proposed model is a multi-objective two-person game. Player 1 seeks an optimal password choice policy, optimizing matters of memorability of the pass...

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Main Authors: Stefan Rass, Sandra König
Format: Article
Language:English
Published: MDPI AG 2018-04-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/20/5/312
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author Stefan Rass
Sandra König
author_facet Stefan Rass
Sandra König
author_sort Stefan Rass
collection DOAJ
description We consider a formal model of password security, in which two actors engage in a competition of optimal password choice against potential attacks. The proposed model is a multi-objective two-person game. Player 1 seeks an optimal password choice policy, optimizing matters of memorability of the password (measured by Shannon entropy), opposed to the difficulty for player 2 of guessing it (measured by min-entropy), and the cognitive efforts of player 1 tied to changing the password (measured by relative entropy, i.e., Kullback–Leibler divergence). The model and contribution are thus twofold: (i) it applies multi-objective game theory to the password security problem; and (ii) it introduces different concepts of entropy to measure the quality of a password choice process under different angles (and not a given password itself, since this cannot be quality-assessed in terms of entropy). We illustrate our approach with an example from everyday life, namely we analyze the password choices of employees.
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spelling doaj.art-7609c09450bd4eb5b1d3e805e7d2a6c82022-12-22T04:21:10ZengMDPI AGEntropy1099-43002018-04-0120531210.3390/e20050312e20050312Password Security as a Game of EntropiesStefan Rass0Sandra König1System Security Group, Institute of Applied Informatics, Universität Klagenfurt, 9020 Klagenfurt, AustriaAustrian Institute of Technology, Center for Digital Safety & Security, 1210 Vienna, AustriaWe consider a formal model of password security, in which two actors engage in a competition of optimal password choice against potential attacks. The proposed model is a multi-objective two-person game. Player 1 seeks an optimal password choice policy, optimizing matters of memorability of the password (measured by Shannon entropy), opposed to the difficulty for player 2 of guessing it (measured by min-entropy), and the cognitive efforts of player 1 tied to changing the password (measured by relative entropy, i.e., Kullback–Leibler divergence). The model and contribution are thus twofold: (i) it applies multi-objective game theory to the password security problem; and (ii) it introduces different concepts of entropy to measure the quality of a password choice process under different angles (and not a given password itself, since this cannot be quality-assessed in terms of entropy). We illustrate our approach with an example from everyday life, namely we analyze the password choices of employees.http://www.mdpi.com/1099-4300/20/5/312game theorysecurityentropypasswords
spellingShingle Stefan Rass
Sandra König
Password Security as a Game of Entropies
Entropy
game theory
security
entropy
passwords
title Password Security as a Game of Entropies
title_full Password Security as a Game of Entropies
title_fullStr Password Security as a Game of Entropies
title_full_unstemmed Password Security as a Game of Entropies
title_short Password Security as a Game of Entropies
title_sort password security as a game of entropies
topic game theory
security
entropy
passwords
url http://www.mdpi.com/1099-4300/20/5/312
work_keys_str_mv AT stefanrass passwordsecurityasagameofentropies
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