Automated Temporal Equilibrium Analysis: Verification and Synthesis of Multi-Player Games

08/13/2020
by   Julian Gutierrez, et al.
5

In the context of multi-agent systems, the rational verification problem is concerned with checking which temporal logic properties will hold in a system when its constituent agents are assumed to behave rationally and strategically in pursuit of individual objectives. Typically, those objectives are expressed as temporal logic formulae which the relevant agent desires to see satisfied. Unfortunately, rational verification is computationally complex, and requires specialised techniques in order to obtain practically useable implementations. In this paper, we present such a technique. This technique relies on a reduction of the rational verification problem to the solution of a collection of parity games. Our approach has been implemented in the Equilibrium Verification Environment (EVE) system. The EVE system takes as input a model of a concurrent/multi-agent system represented using the Simple Reactive Modules Language (SRML), where agent goals are represented as Linear Temporal Logic (LTL) formulae, together with a claim about the equilibrium behaviour of the system, also expressed as an LTL formula. EVE can then check whether the LTL claim holds on some (or every) computation of the system that could arise through agents choosing Nash equilibrium strategies; it can also check whether a system has a Nash equilibrium, and synthesise individual strategies for players in the multi-player game. After presenting our basic framework, we describe our new technique and prove its correctness. We then describe our implementation in the EVE system, and present experimental results which show that EVE performs favourably in comparison to other existing tools that support rational verification.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
07/19/2021

Rational Verification for Probabilistic Systems

Rational verification is the problem of determining which temporal logic...
research
07/20/2022

Careful Autonomous Agents in Environments With Multiple Common Resources

Careful rational synthesis was defined in (Condurache et al. 2021) as a ...
research
06/18/2021

Equilibrium Design for Concurrent Games

In game theory, mechanism design is concerned with the design of incenti...
research
01/15/2023

Cooperative Concurrent Games

In rational verification, the aim is to verify which temporal logic prop...
research
07/06/2023

Pretty Good Strategies for Benaloh Challenge

Benaloh challenge allows the voter to audit the encryption of her vote, ...
research
08/13/2020

Equilibria for Games with Combined Qualitative and Quantitative Objectives

The overall aim of our research is to develop techniques to reason about...
research
11/11/2022

Symbolic Verification and Strategy Synthesis for Turn-based Stochastic Games

Stochastic games are a convenient formalism for modelling systems that c...

Please sign up or login with your details

Forgot password? Click here to reset