Model checking nash equilibria in MAD distributed systems

Authors:
Federico Mari;Igor Melatti;Ivano Salvo;Enrico Tronci;Lorenzo Alvisi;Allen Clement;Harry Li
Affiliations:
University of Rome "La Sapienza", Roma, Italy;University of Rome "La Sapienza", Roma, Italy;University of Rome "La Sapienza", Roma, Italy;University of Rome "La Sapienza", Roma, Italy;University of Texas at Austin, Austin, Texas;University of Texas at Austin, Austin, Texas;University of Texas at Austin, Austin, Texas
Venue:
Proceedings of the 2008 International Conference on Formal Methods in Computer-Aided Design
Year:
2008

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Abstract

We present a symbolic model checking algorithm for verification of Nash equilibria in finite state mechanisms modeling Multiple Administrative Domains (MAD) distributed systems. Given a finite state mechanism, a proposed protocol for each agent and an indifference threshold for rewards, our model checker returns PASS if the proposed protocol is a Nash equilibrium (up to the given indifference threshold) for the given mechanism, FAIL otherwise. We implemented our model checking algorithm inside the NuSMV model checker and present experimental results showing its effectiveness for moderate size mechanisms.