Studies in the Theory of Quantum Games
Azhar Iqbal

TL;DR
This paper explores the development of quantum game theory, analyzing how quantization affects classical game concepts like Nash equilibrium and ESS, and proposing new methods for quantum versions of classical games.
Contribution
It provides a comparative analysis of classical and quantum games, investigates the impact of quantization on solution concepts, and introduces novel approaches for quantum game implementation.
Findings
Quantization can alter evolutionarily stable strategies without changing Nash equilibria.
Quantum effects influence solution concepts like coalition value and subgame outcomes.
Proposes new methods for implementing quantum versions of classical matrix games.
Abstract
Theory of quantum games is a new area of investigation that has gone through rapid development during the last few years. Initial motivation for playing games, in the quantum world, comes from the possibility of re-formulating quantum communication protocols, and algorithms, in terms of games between quantum and classical players. The possibility led to the view that quantum games have a potential to provide helpful insight into working of quantum algorithms, and even in finding new ones. This thesis analyzes and compares some interesting games when played classically and quantum mechanically. A large part of the thesis concerns investigations into a refinement notion of the Nash equilibrium concept. The refinement, called an evolutionarily stable strategy (ESS), was originally introduced in 1970s by mathematical biologists to model an evolving population using techniques borrowed from…
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsQuantum Mechanics and Applications · Quantum Information and Cryptography · Quantum Computing Algorithms and Architecture
