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EVE: A Tool for Temporal Equilibrium Analysis

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Automated Technology for Verification and Analysis (ATVA 2018)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 11138))

Abstract

We present EVE (Equilibrium Verification Environment), a formal verification tool for the automated analysis of temporal equilibrium properties of concurrent and multi-agent systems. In EVE, systems are modelled using the Simple Reactive Module Language (SRML) as a collection of independent system components (players/agents in a game) and players’ goals are expressed using Linear Temporal Logic (LTL) formulae. EVE can be used to automatically check the existence of pure strategy Nash equilibria in such concurrent and multi-agent systems and to verify which temporal logic properties are satisfied in the equilibria.

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Notes

  1. 1.

    We refer to [9, 21] for the formal characterisation of NE.

  2. 2.

    The core of the protocol involves (at least) pairwise interactions periodically.

  3. 3.

    We assume arithmetic modulo \( (|\text {N}|+1) \) in this example.

  4. 4.

    The tool to automatically convert EVE’s input (SRML code) into MCMAS’s input (ISPL code) is available online from https://github.com/eve-mas/sevia.

  5. 5.

    To carry out a fairer comparison (since PRALINE accepts Büchi objectives), we added to PRALINE’s running time, the time needed to convert LTL games into its input. Translating parity games to PRALINE’s input is possible in our particular examples since in those cases we can map the colours/priorities directly into Büchi condition.

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Acknowledgements

The authors acknowledge with gratitude the financial support of the ERC Advanced Investigator Grant 291528 (“RACE”) at Oxford. Muhammad Najib is supported by the Indonesian Endowment Fund for Education (LPDP).

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Authors and Affiliations

  1. Department of Computer Science, University of Oxford, Oxford, UK

    Julian Gutierrez, Muhammad Najib, Giuseppe Perelli & Michael Wooldridge

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  1. Julian Gutierrez
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  2. Muhammad Najib
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  3. Giuseppe Perelli
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  4. Michael Wooldridge
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Correspondence to Muhammad Najib .

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Editors and Affiliations

  1. Microsoft Research, Redmond, WA, USA

    Shuvendu K. Lahiri

  2. University of Southern California, Los Angeles, CA, USA

    Chao Wang

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Gutierrez, J., Najib, M., Perelli, G., Wooldridge, M. (2018). EVE: A Tool for Temporal Equilibrium Analysis. In: Lahiri, S., Wang, C. (eds) Automated Technology for Verification and Analysis. ATVA 2018. Lecture Notes in Computer Science(), vol 11138. Springer, Cham. https://doi.org/10.1007/978-3-030-01090-4_35

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  • DOI: https://doi.org/10.1007/978-3-030-01090-4_35

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