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Open Quantum Systems Decoherence
No fixed-point guarantee of Nash equilibrium in quantum games
arXiv
Authors: Faisal Shah Khan, Travis S. Humble
Year
2016
Paper ID
43322
Status
Preprint
Abstract Read
~2 min
Abstract Words
84
Citations
N/A
Abstract
The theory of quantum games permits players to choose strategies that prepare and measure quantum states. Whereas conventional game theory provides guarantees for fixed-point stability in non-cooperative games, so-called Nash equilibria, we find this guarantee is not provided for quantum games. In particular, we show the conditions for Glickberg's fixed-point theorem do not apply to pure quantum games when the payoff is a physical observable. We further show that Nash equilibrium can be guaranteed when the payoff is defined with respect to state preparation.
Why This Paper Matters
- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
- It adds a 2016 reference point for readers tracking recent quantum research.
- The theory of quantum games permits players to choose strategies that prepare and measure quantum states.
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