Coalitions in the quantum Minority game: classical cheats and quantum bullies
arXiv:quant-ph/0608096 · doi:10.1016/j.physleta.2006.10.007
Abstract
In a one-off Minority game, when a group of players agree to collaborate they gain an advantage over the remaining players. We consider the advantage obtained in a quantum Minority game by a coalition sharing an initially entangled state versus that obtained by a coalition that uses classical communication to arrive at an optimal group strategy. In a model of the quantum Minority game where the final measurement basis is randomized, quantum coalitions outperform classical ones when carried out by up to four players, but an unrestricted amount of classical communication is better for larger coalition sizes.
12 pages, 1 figure
References in corpus (21)
- Quantum Games and Quantum Strategies
- Emergence of Cooperation and Organization in an Evolutionary Game
- Quantum strategies
- Multi-Player Quantum Games
- Experimental realization of quantum games on a quantum computer
- A Quantum Approach To Static Games Of Complete Information
- Modeling Market Mechanism with Minority Game
- Quantum version of the Monty Hall problem
- Quantum Market Games
- Playing a quantum game with a corrupted source
- Quantum games with decoherence
- Advantage of a quantum player over a classical one in 2x2 quantum games
- Efficiency and formalism of quantum games
- Entanglement Enhanced Multiplayer Quantum Games
- Volatility and Agent Adaptability in a Self-Organizing Market
- Quantum strategies of quantum measurement
- Quantum Bargaining Games
- Quantum Correlation Games
- Darwinism in quantum systems?
- Game-theoretic discussion of quantum state estimation and cloning
- Quantum correlations and Nash equilibria of a bi-matrix game
Cited by in corpus (10)
- Experimental implementation of a four-player quantum game
- Three-player quantum Kolkata restaurant problem under decoherence
- N-player quantum games in an EPR setting
- Equivalence between Bell inequalities and quantum Minority game
- Analyzing three-player quantum games in an EPR type setup
- Quantum solution to a three player Kolkata restaurant problem using entangled qutrits
- An introduction to multi-player, multi-choice quantum games
- On the equivalence between non-factorizable mixed-strategy classical games and quantum games
- Social optimality in quantum Bayesian games
- Experiments with Probabilistic Quantum Auctions