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arXiv · 2008.05647

Multi-Player Games with LDL Goals over Finite Traces

Julian Gutierrez·Giuseppe Perelli·Michael Wooldridge
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Abstract

Linear Dynamic Logic on finite traces LDLf is a powerful logic for reasoning about the behaviour of concurrent and multi-agent systems. In this paper, we investigate techniques for both the characterisation and verification of equilibria in multi-player games with goals/objectives expressed using logics based on LDLf. This study builds upon a generalisation of Boolean games, a logic-based game model of multi-agent systems where players have goals succinctly represented in a logical way. Because LDLf goals are considered, in the settings we study -- Reactive Modules games and iterated Boolean games with goals over finite traces -- players' goals can be defined to be regular properties while achieved in a finite, but arbitrarily large, trace. In particular, using alternating automata, the paper investigates automata-theoretic approaches to the characterisation and verification of (pure strategy Nash) equilibria, shows that the set of Nash equilibria in multi-player games with LDLf objectives is regular, and provides complexity results for the associated automata constructions.

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Julian Gutierrez, Giuseppe Perelli, Michael Wooldridge. 2020-08-13. Multi-Player Games with LDL Goals over Finite Traces. https://arxiv.org/abs/2008.05647

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