Quantum Games and Quantum Strategies
arXiv:quant-ph/9806088 · doi:10.1103/PhysRevLett.83.3077
Abstract
We investigate the quantization of non-zero sum games. For the particular case of the Prisoners' Dilemma we show that this game ceases to pose a dilemma if quantum strategies are allowed for. We also construct a particular quantum strategy which always gives reward if played against any classical strategy.
arXiv comment4 pages, 4 figures, typographic sign error in the definition of the operator J corrected
References in corpus (3)
Cited by in corpus (345)
- Evolutionary games on graphs
- The Physical Implementation of Quantum Computation
- An introduction to quantum machine learning
- Information and Computation: Classical and Quantum Aspects
- Quantum Structure in Cognition
- Multi-Player Quantum Games
- Operational Quantum Mechanics, Quantum Axiomatics and Quantum Structures
- Experimental realization of quantum games on a quantum computer
- A Quantum Approach To Static Games Of Complete Information
- New paradoxical games based on Brownian ratchets
- Quantum physics meets biology
- Quantum Games
- Quantum Computing with NMR
- Quantum Computers and Quantum Coherence
- Continuous-Variable Quantum Games
- Comment on `Quantum Games and Quantum Strategies'
- Toward a general theory of quantum games
- Bell nonlocality and Bayesian game theory
- Classical Rules in Quantum Games
- Quantum version of the Monty Hall problem
- Quantum games: a review of the history, current state, and interpretation
- Evolutionarily Stable Strategies in Quantum Games
- Quantum Parrondo's Games
- Playing a quantum game with a corrupted source
- Nash equilibria in quantum games with generalized two-parameter strategies
- Quantum games with decoherence
- Can two chaotic systems give rise to order?
- 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
- Classical and Quantum Contents of Solvable Game Theory on Hilbert Space
- Brownian motion and gambling: from ratchets to paradoxical games
- Experimental realization of a quantum game on a one-way quantum computer
- A quantum model for the stock market
- Quantum Cooperative Games
- A necessary and sufficient condition to play games in quantum mechanical settings
- Interference and inequality in quantum decision theory
- Experimental implementation of a four-player quantum game
- Dilemma and Quantum Battle of Sexes
- Quantum Auctions: Facts and Myths
- Quantum machine learning and quantum biomimetics: A perspective
- Quantum advantages in classically defined tasks
- Generalized Quantization Scheme for Two-Person Non-Zero-Sum Games
- Machine learning \& artificial intelligence in the quantum domain
- Bayesian Nash Equilibria and Bell Inequalities
- Foundation of Quantum Optimal Transport and Applications
- Parrondo's game using a discrete-time quantum walk
- Theory of Quantum Games and Quantum Economic Behavior
- Quantum games of asymmetric information
- Correlated Equilibria of Classical Strategic Games with Quantum Signals
- Doves and hawks in economics revisited. An evolutionary quantum game theory-based analysis of financial crises
- Comment on: "A quantum approach to static games of complete information''
- Quantum Game Theory Based on the Schmidt Decomposition
- Quantum strategies of quantum measurement
- Probabilistic analysis of three-player symmetric quantum games played using the Einstein-Podolsky-Rosen-Bohm setting
- Proposal for optically realizing quantum game
- Experimental Evidence for Quantum Structure in Cognition
- Entangled states that cannot reproduce original classical games in their quantum version
- Quantum voting and violation of Arrow's Impossibility Theorem
- Quantum Bargaining Games
- The minimal length uncertainty and the quantum model for the stock market
- Quantum Strategies Win in a Defector-Dominated Population
- Quantum Model of Bertrand Duopoly
- Pattern recognition on the quantum Bloch sphere
- Quantum teleportation and entanglement swapping with linear optics logic gates
- Quantum repeated games
- Constructing quantum games from non-factorizable joint probabilities
- Models of quantum computation and quantum programming languages
- Quantum Prisoner's Dilemma game on hypergraph networks
- Duality, Phase Structures and Dilemmas in Symmetric Quantum Games
- Quantum Correlation Games
- Quantum two and three person duels
- Studies in the Theory of Quantum Games
- The next stage: quantum game theory
- Uniqueness of Nash equilibria in quantum Cournot duopoly game
- Cooperative quantum Parrondo's games
- Decisions in elections --- transitive or intransitive quantum preferences
- Quantum Zeno effect and nonclassicality in a PT symmetric system of coupled cavities
- Quantum Interference and Superposition in Cognition: Development of a Theory for the Disjunction of Concepts
- Quantum Locality in Game Strategy
- Three-player quantum Kolkata restaurant problem under decoherence
- Quantum Stackelberg duopoly in the presence of correlated noise
- The effect of quantum memory on quantum games
- Quantum diffusion of prices and profits
- On Phase Transitions to Cooperation in the Prisoner's Dilemma
- Coalitions in the quantum Minority game: classical cheats and quantum bullies
- Entanglement and Dynamic Stability of Nash Equilibria in a Symmetric Quantum Game
- Constructing quantum games from a system of Bell's inequalities
- Entanglement-guided architectures of machine learning by quantum tensor network
- Noise Effects in Quantum Magic Squares Game
- Quantum Solution of Coordination Problems
- The Ultimate Solution to the Quantum Battle of the Sexes game
- Darwinism in quantum systems?
- Multi-Player and Multi-Choice Quantum Game
- Quantum Game Application to Spectrum Scarcity Problems
- Quantum Games with Correlated Noise
- Noise effects in a three-player Prisoner's Dilemma quantum game
- The Application of Asymmetric Entangled States in Quantum Game
- Certified Quantum Computation in Isabelle/HOL
- Experimental Demonstration of Quantum Pseudotelepathy
- A Formalism for Quantum Games and an Application
- Noisy Relativistic Quantum Games in Noninertial Frames
- N-player quantum games in an EPR setting
- Reply to "Comment on: A Quantum Approach to Static Games of Complete Information"
- Relativistic Quantum Games in Noninertial Frames
- Infinitely Repeated Quantum Games and Strategic Efficiency
- An Analysis of the Quantum Penny Flip Game using Geometric Algebra
- General Quantum Modeling of Combining Concepts: A Quantum Field Model in Fock Space
- Entangled-photon decision maker
- Quantum Matching Pennies Game
- An Introduction to Quantum Game Theory
- Quantum Parrondo's games under decoherence
- Two-Qubit Pure Entanglement as Optimal Social Welfare Resource in Bayesian Game
- Analyzing three-player quantum games in an EPR type setup
- Do quantum strategies always win?
- Equivalence between Bell inequalities and quantum Minority game
- Interference of Quantum Market Strategies
- Game-theoretic discussion of quantum state estimation and cloning
- Quantum Replicator Dynamics
- Preferences in Quantum Games
- General model for a entanglement-enhanced composed quantum game on a two-dimensional lattice
- Quantum Barro--Gordon Game in Monetary Economics
- A Quantum Teleportation Game
- Garbled Quantum Computation
- Conditional Quantum Walk and Iterated Quantum Games
- On subgame perfect equilibria in quantum Stackelberg duopoly with incompete information
- Constructing quantum games from symmetric non-factorizable joint probabilities
- Quantum Key-Distribution Protocols Based on a Quantum Version of the Monty Hall Game
- Quantum Parrondo's game with random strategies
- Quantum Chinos Game: winning strategies through quantum fluctuations
- QKD based on symmetric entangled Bernstein-Vazirani
- Qubit flip game on a Heisenberg spin chain
- Quantum games on evolving random networks
- Reliable quantum advantage in quantum battery charging
- Quantum Stackelberg duopoly in noninertial frame
- Quantum Protocol for Decision Making and Verifying Truthfulness among -quantum Parties: Solution and Extension of the Quantum Coin Flipping Game
- Analysis of two-player quantum games in an EPR setting using geometric algebra
- Playing games with EPR-type experiments
- Quantum game theory and the complexity of approximating quantum Nash equilibria
- Distinguishing quantum channels via magic squares game
- Quantum version of a generalized Monty Hall game and its possible applications to quantum secure communications
- Do transitive preferences always result in indifferent divisions?
- Quantum Dating Market
- Quantum Chess: Developing a Mathematical Framework and Design Methodology for Creating Quantum Games
- Non-factorizable Joint Probabilities and Evolutionarily Stable Strategies in the Quantum Prisoner's Dilemma Game
- Transitivity vs. Intransitivity in decision making process. (An example in quantum game theory)
- Engineering topological states and quantum-inspired information processing using classical circuits
- Hybrid cluster state proposal for a quantum game
- Noisy quantum Monty Hall game
- Conditions that enable a player to surely win in sequential quantum games
- A Novel Clustering Algorithm Based on Quantum Games
- A new model for quantum games based on the Marinatto-Weber approach
- Probability amplitude in quantum like games
- A competitive game whose maximal Nash-equilibrium payoff requires quantum resources for its achievement
- A new quantum scheme for normal-form games
- A symmetric extensible protocol for quantum secret sharing
- Entanglement of mixed macroscopic superpositions: an entangling-power study
- The inverse fallacy and quantum formalism
- A two-party quantum parliament
- Quantum routing games
- Prisoners' Dilemma in Presence of Collective Dephasing
- Enhancing pseudo-telepathy in the Magic Square game
- Defining Quantum Games
- Quantum Extensive Form Games
- Dynamic Quantum Games
- General quantum two-players games, their gate operators and Nash equilibria
- Quantum secret aggregation utilizing a network of agents
- Quantum Monty Hall problem under decoherence
- Quantum Game Theory in Finance
- Gumbel Central Limit Theorem for Max-Min and Min-Max
- A Quantum Detectable Byzantine Agreement Protocol using only EPR pairs
- Altruistic Contents of Quantum Prisoner's Dilemma
- Self-organization in a simple model of adaptive agents playing 2X2 games with arbitrary payoff matrices
- Strategic Insights From Playing the Quantum Tic-Tac-Toe
- Quantum Nash equilibrium in the thermodynamic limit
- Strong Quantum Solutions in Conflicting Interest Bayesian Games
- Nash embedding and equilibrium in pure quantum states
- The History of Quantum Games
- Thermodynamic susceptibility as a measure of cooperative behavior in social dilemmas
- Quantum games of opinion formation based on the Marinatto-Weber quantum game scheme
- Quantum games and social norms. The quantum ultimatum game
- Noisy non-transitive quantum games
- A new mathematical representation of Game Theory II
- Quantum Volunteer's Dilemma
- Game-theoretic perspective of Ping-Pong Protocol
- Quantum entanglement, indistinguishability, and the absent-minded driver's problem
- Quantum correlations and Nash equilibria of a bi-matrix game
- Fixed point theorem for simple quantum strategies in quantum market games
- The Generalized Quantization Schemes for Games and its Application to Quantum Information
- The conjunction fallacy and interference effects
- Simulation of continuous variable quantum games without entanglement
- Quantum Cournot equilibrium for the Hotelling-Smithies model of product choice
- Strong isomorphism in Eisert-Wilkens-Lewenstein type quantum games
- Cooperative three- and four- player quantum games
- Entanglement renders free riding redundant in the thermodynamic limit
- Three-players conflicting interest games and nonlocality
- Transitivity of an entangled choice
- Quantum Finance: The Finite Dimensional Case
- Algorithmic Information Theoretic Issues in Quantum Mechanics
- A Multiparty Quantum Private Equality Comparison scheme relying on states
- Communication aspects of a three-player Prisoner's Dilemma quantum game
- Pareto-optimal solution for the quantum battle of the sexes
- Permissible extensions of classical to quantum games combining three strategies
- A quantum extension to inspection game
- An entanglement-based protocol for simultaneous reciprocal information exchange between 2 players
- Octonionization of three player, two strategy maximally entangled quantum games
- Quantum phenomenology of conjunction fallacy
- Solving diner's dilemma game, circuit implementation, and verification on IBMQ simulator
- Quantum-mechanical machinery for rational decision-making in classical guessing game
- Noisy three-player dilemma game: Robustness of the quantum advantage
- The role of quantum correlations in Cop and Robber game
- Quantization of the stag hunt game and the Nash equilibrilum
- Quantum signaling game
- Quantum Games in Open Systems using Biophysic Hamiltonians
- Evolutionarily Stable Sets in Quantum Penny Flip Games
- Verification of Bell Nonlocality by Violating Quantum Monogamy Relations
- Repeated quantum game as a stochastic game: Effects of the shadow of the future and entanglement
- Quantum mechanism helps agents combat "bad" social choice rules
- Implementation without commitment in moral hazard environments
- Classification of Quantum Symmetric Non-zero Sum 2x2 Games in the Eisert Scheme
- Dominant Strategies in Two Qubit Quantum Computations
- Use of Nash equilibrium in finding game theoretic robust security bound on quantum bit error rate
- One-to-Many Simultaneous Secure Quantum Information Transmission
- Nonclassical rules in quantum games
- Measurement theory in classical mechanics
- Quantum-Optical set-up for the Monty Hall problem
- Quasidistribution of phases in Raman process with weak and strong pumps
- Quantum Penny Flip game with unawareness
- Is the essence of a quantum game captured completely in the original classical game?
- Analysis of patent activity in the field of quantum information processing
- What Can be Observed Locally? Round-based Models for Quantum Distributed Computing
- Resolving game theoretical dilemmas with quantum states
- Learning in Quantum Common-Interest Games and the Separability Problem
- The Role of Measurement in Quantum Games
- Universal quantum circuit for n-qubit quantum gate: A programmable quantum gate
- Finding the Origin of the Pioneer Anomaly
- Ex ante versus ex post equilibria in classical Bayesian games with a nonlocal resource
- Modeling amortization systems with vector spaces
- An artificial game with equilibrium state of entangled strategy
- Entropy-Norm space for geometric selection of strict Nash equilibria in n-person games
- A Quantum Approach to News Verification from the Perspective of a News Aggregator
- Comment on "Quantum Games and Quantum Strategies"
- Kelly Betting with Quantum Payoff: a continuous variable approach
- Note on maximally entangled Eisert-Lewenstein-Wilkens quantum games
- A distributed and parallel QSS scheme with verification capability
- Multistage games and Bell scenarios with communication
- Switching global correlations on and off in a many-body quantum state by tuning local entanglement
- Agent-based Modelling of Quantum Prisoner's Dilemma
- Quantum Game Theory and Open Access Publishing
- Quantum credit loans
- Photonic implementation of the quantum Morra game
- A Quantum Algorithm for the Classification of Patterns of Boolean Functions
- Multiple Nash-equilibrium in Quantum Game
- Two-player quantum games: When player strategies are via directional choices
- Study of entanglement via a multi-agent dynamical quantum game
- Quantum solution to a three player Kolkata restaurant problem using entangled qutrits
- Quantum Games and Programmable Quantum Systems
- Quantum Advantage in Trading: A Game-Theoretic Approach
- Quantum games: a survey for mathematicians
- Quantum Bayesian implementation
- Some properties of maximally entangled ELW game
- Quantum Games and Quantum Discord
- Quantum Strategic Game Theory
- Experimental Demonstration on Quantum Sensitivity to Available Information in Decision Making
- Bistable Probabilities: A Unified Framework for Studying Rationality and Irrationality in Classical and Quantum Games
- Quantization of Blackjack: Quantum Basic Strategy and Advantage
- Simulating violation of causality using a topological phase transition
- General quantum Chinos games
- A novel \& player scheme for Quantum Direct Communication
- Quantum Tapsilou -- a quantum game inspired from the traditional Greek coin tossing game tapsilou
- Quantum Nash Equilibria and Quantum Computing
- Quantum gambling using mesoscopic ring qubits
- Quantum permutation puzzles with indistinguishable particles
- How to play two-players restricted quantum games with 10 cards
- Quantum Shadows: The Dining Information Brokers
- Probabilistic Links Between Quantum Classification of Patterns of Boolean Functions and Hamming Distance
- Quantum like modelling of the non-separability of voters' preferences in the U.S. political system
- Quantization of the Location Stage of Hotelling Model
- Law of Excluded Quantum Gambling Strategies
- Experimental Validation of Quantum Game Theory
- TI-games I: An Exploration of Type Indeterminacy In Strategic Decision-Making
- Quantum Cat's Dilemma
- Quantum Cournot model based on general entanglement operator
- Nash Equilibria in Quantum Games
- Quantum Büchi Automata
- Quantization of Games: Towards Quantum Artificial Intelligence
- Non-Cooperative Quantum Game Theory
- Non-Abelian strategies in quantum penny flip game
- On amending the Maskin's sufficiency theorem by using complex numbers
- Entangled N-photon states for fair and optimal social decision making
- A Quantum Analogue of Parrondo's Game
- An introduction to multi-player, multi-choice quantum games
- Classical vs Quantum Games: Continuous-time Evolutionary Strategy Dynamics
- On characterizing quantum correlated equilibria
- 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
- Quantum Prisoner's Dilemma in the new representation
- Quantum Multiplayer Colonel Blotto Game
- Calculating Nash Equilibrium on Quantum Annealers
- Nashian game theory is incompatible with quantum physics
- Nonlocal and quantum advantages in network coding for multiple access channels
- Supersymmetry and quantum games
- Entangling capabilities and unitary quantum games
- Quantum Prisoner's Dilemma and High Frequency Trading on the Quantum Cloud
- A Novel Scalable Quantum Protocol for the Dining Cryptographers Problem
- Entanglement and quantum strategies reduce congestion costs in Pigou networks
- Quantum Game Theory for Beam Alignment in Millimeter Wave Device-to-Device Communications
- Characterizing the Nash equilibria of a three-player Bayesian quantum game
- Cooperative equilibria in the finite iterated prisoner's dilemma
- Social optimality in quantum Bayesian games
- Quantum strategy in moving frames
- Quantum game players can have advantage without discord
- Experiments with Probabilistic Quantum Auctions
- Risk Mathematics and Quantum Games on Quantum Risk Structures - A Nuclear War Scenario Game
- Isomorphic Strategy Spaces in Game Theory
- Quantum realization of extensive games
- Quantum Auctions using Adiabatic Evolution: The Corrupt Auctioneer and Circuit Implementations
- Generation and Manipulation of Entanglement in Quantum Optical Systems
- Bayesian rational agents in iterated quantum games
- Multiplayer Quantum Games and its Application as Access Controller in Architecture of Quantum Computers
- Quantum State Tomography and Quantum Games
- Nash equilibrium in quantum superpositions
- Static Quantum Games Revisited
- Analysing the efficiency of partially entangled states in Vaidman's-type games and its applications in Quantum Secret Sharing
- Competition of different evaluation schemes in the continuous variable game
- Key Distribution based on Three Player Quantum Games
- Multisetting protocol for Bell correlated states detection with spin- systems
- Hamiltonian of polymatrix zero-sum games
- Quantum-like perception entanglement leads to advantageous collective decisions
- A thought experiment on Quantum Mechanics and Distributed Failure Detection
- Coordination Games with Quantum Information
- Analysis of trembling hand perfect equilibria in quantum games
- Emergence of Network Bifurcation Triggered by Entanglement
- Quantum approach to Bertrand duopoly
- Quantum Entanglement in Time
- The connection between the penny flip game and the dihedral groups
- On the equivalence between non-factorizable mixed-strategy classical games and quantum games
- Environmental influences on Quantum Monty Hall problem
- Quantum voting and its physical interpretation
- Quantum strategies and evolutionary stability (in Urdu)
- Game Theoretic Interaction and Decision: A Quantum Analysis
- Quantum Information as a Measure of Multipartite Correlation