Augmented probability simulation methods for sequential games

European Journal of Operational Research, 2023

Abstract

The study presents a robust framework with computational algorithms designed to aid decision-making in sequential games. 

The framework offers methods for solving games with complete information, evaluating the solidity of solutions, and approximating adversarial risk analysis for situations with incomplete information. 

Existing simulation-based approaches can falter with large decision sets or continuous decisions due to inefficiency or lack of precision. To address these issues, the study introduces a novel method utilizing augmented probability simulation. Though the framework can apply to multi-stage sequential games, the focus of the discussion is on two-stage sequential defend-attack problems.

A scalable algorithm framework is proposed for decision-making in sequential games, relevant to areas like cybersecurity, machine learning and business competition.

Where does it apply?

The research introduces a robust decision-making framework with computational algorithms for sequential games. The presented framework shines in sequential defend-attack scenarios, making it highly relevant for areas like cybersecurity and adversarial machine learning. 

Though the study focuses on two-stage games, the framework can conceptually apply to multi-stage sequential games. The critical advantage of this method is its scalability, making it suitable for high-dimensional problems and situations where standard methods fail. Consequently, it finds.

Adversarial Machine Learning: Bayesian Perspectives

Why does it matters?

This research presents a groundbreaking framework with computational algorithms that offer robust solutions for sequential games. It introduces a novel solution method known as augmented probability simulation, which is advantageous over existing methods, especially in cases of large or continuous decision sets. 

This method allows the simultaneous assessment and optimization of decision scenarios, easing the process of reaching optimal solutions. Overall, it offers a powerful tool for decision-making in sequential games, providing a more efficient and scalable approach to problem-solving.

Augmented probability simulation methods for sequential games

European Journal of Operational Research, 2023

Augmented probability simulation methods for sequential games

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