Analysis of trembling hand perfect equilibria in quantum games
Ireneusz Pakula
TL;DR
This paper explores the concept of trembling hand perfect equilibria within quantum game theory, introducing a framework where trembles are modeled as mixed quantum strategies using probability distribution functions.
Contribution
It extends classical equilibrium concepts to quantum strategies by defining trembles as probability distributions, providing explicit examples and analysis.
Findings
Quantum trembling hand equilibria can be characterized using mixed quantum strategies.
Explicit examples demonstrate the application of the concept.
The framework bridges classical and quantum game theory concepts.
Abstract
We analyse Selten's concept of trembling hand perfect equilibria in the context of quantum game theory. We define trembles as mixed quantum strategies by replacing discrete probabilities with probability distribution functions. Explicit examples of analysis are given.
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Taxonomy
TopicsQuantum Mechanics and Applications · Quantum Information and Cryptography · Quantum Computing Algorithms and Architecture