Quantum Games
arXiv:quant-ph/0004076 · doi:10.1080/09500340008232180
Abstract
In these lecture notes we investigate the implications of the identification of strategies with quantum operations in game theory beyond the results presented in [J. Eisert, M. Wilkens, and M. Lewenstein, Phys. Rev. Lett. 83, 3077 (1999)]. After introducing a general framework, we study quantum games with a classical analogue in order to flesh out the peculiarities of game theoretical settings in the quantum domain. Special emphasis is given to a detailed investigation of different sets of quantum strategies.
13 pages (LaTeX), 3 figures
Cited by in corpus (81)
- Classical Rules in Quantum Games
- Quantum version of the Monty Hall problem
- Quantum games: a review of the history, current state, and interpretation
- Quantum Parrondo's Games
- Nash equilibria in quantum games with generalized two-parameter strategies
- Advantage of a quantum player over a classical one in 2x2 quantum games
- Quantum mechanics gives stability to a Nash equilibrium
- Efficiency and formalism of quantum games
- Entanglement Enhanced Multiplayer Quantum Games
- Backwards-induction outcome in a quantum game
- Physics of risk and uncertainty in quantum decision making
- Quantum Cooperative Games
- Experimental implementation of a four-player quantum game
- Quantum Probabilities as Behavioral Probabilities
- Parrondo's game using a discrete-time quantum walk
- Probabilistic analysis of three-player symmetric quantum games played using the Einstein-Podolsky-Rosen-Bohm setting
- Quantum repeated games
- Constructing quantum games from non-factorizable joint probabilities
- Information Processing by Networks of Quantum Decision Makers
- Duality, Phase Structures and Dilemmas in Symmetric Quantum Games
- Studies in the Theory of Quantum Games
- Uniqueness of Nash equilibria in quantum Cournot duopoly game
- Quantum two and three person duels
- Quantum Locality in Game Strategy
- Evolutionary Processes in Quantum Decision Theory
- Three-player quantum Kolkata restaurant problem under decoherence
- The effect of quantum memory on quantum games
- Constructing quantum games from a system of Bell's inequalities
- Darwinism in quantum systems?
- Quantum decision making by social agents
- Processing Information in Quantum Decision Theory
- An Introduction to Quantum Game Theory
- Quantum Replicator Dynamics
- Game-theoretic discussion of quantum state estimation and cloning
- Constructing quantum games from symmetric non-factorizable joint probabilities
- Team Decision Problems with Classical and Quantum Signals
- Non-factorizable Joint Probabilities and Evolutionarily Stable Strategies in the Quantum Prisoner's Dilemma Game
- Distinguishing quantum channels via magic squares game
- Prisoners' Dilemma in Presence of Collective Dephasing
- General quantum two-players games, their gate operators and Nash equilibria
- Quantitative Predictions in Quantum Decision Theory
- Quantum games of opinion formation based on the Marinatto-Weber quantum game scheme
- Quantum Volunteer's Dilemma
- Noisy non-transitive quantum games
- Quantum Finance: The Finite Dimensional Case
- Tossing Quantum Coins and Dice
- Cooperative three- and four- player quantum games
- Quantum-mechanical machinery for rational decision-making in classical guessing game
- Repeated quantum game as a stochastic game: Effects of the shadow of the future and entanglement
- Quantization of the stag hunt game and the Nash equilibrilum
- Quantum signaling game
- Use of Nash equilibrium in finding game theoretic robust security bound on quantum bit error rate
- Entropy-Norm space for geometric selection of strict Nash equilibria in n-person games
- Resolving game theoretical dilemmas with quantum states
- Quantum Game Theory and Open Access Publishing
- Two-player quantum games: When player strategies are via directional choices
- Quantum Game Theory
- Note on maximally entangled Eisert-Lewenstein-Wilkens quantum games
- Quantum Advantage in Trading: A Game-Theoretic Approach
- Some properties of maximally entangled ELW game
- Bistable Probabilities: A Unified Framework for Studying Rationality and Irrationality in Classical and Quantum Games
- Quantization of Blackjack: Quantum Basic Strategy and Advantage
- No-Regret Learning and Equilibrium Computation in Quantum Games
- How to play two-players restricted quantum games with 10 cards
- Non-Cooperative Quantum Game Theory
- Nashian game theory is incompatible with quantum physics
- Quantum information approach to normal representation of extensive games
- Investigations in quantum games using EPR-type set-ups
- Application of the EWL protocol to decision problems with imperfect recall
- Supersymmetry and quantum games
- Entangling capabilities and unitary quantum games
- Quantum Cat's Dilemma
- Quantum Cournot model based on general entanglement operator
- Role of information in decision making of social agents
- Censorship of quantum resources against catalytic account sharing
- Let us play with qubits
- Experiments with Probabilistic Quantum Auctions
- On the equivalence between non-factorizable mixed-strategy classical games and quantum games
- Hamiltonian of polymatrix zero-sum games
- Quantum Auctions using Adiabatic Evolution: The Corrupt Auctioneer and Circuit Implementations
- Quantum realization of extensive games