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Entropy 2018, 20(5), 312; https://doi.org/10.3390/e20050312

Password Security as a Game of Entropies

1
System Security Group, Institute of Applied Informatics, Universität Klagenfurt, 9020 Klagenfurt, Austria
2
Austrian Institute of Technology, Center for Digital Safety & Security, 1210 Vienna, Austria
*
Author to whom correspondence should be addressed.
Received: 27 February 2018 / Revised: 19 April 2018 / Accepted: 20 April 2018 / Published: 25 April 2018
(This article belongs to the Special Issue Information Theory in Game Theory)
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Abstract

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. View Full-Text
Keywords: game theory; security; entropy; passwords game theory; security; entropy; passwords
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Rass, S.; König, S. Password Security as a Game of Entropies. Entropy 2018, 20, 312.

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