Theory of Quantum Games and Quantum Economic Behavior

Abstract

The quest of this work is to present discussions of some fundamental questions of economics in the era of quantum technology, which require a treatment different from economics studied thus far in the literature. A study of quantum economic behavior will become the center of attention of economists in the coming decades. We analyze a quantum economy in which players produce and consume quantum goods. They meet randomly and barter with neighbors bilaterally for quantum goods they produced. We clarify the conditions where certain quantum goods emerge endogenously as media of exchange, called quantum commodity money. As quantum strategies are entangled, we find distinctive aspects of quantum games that cannot be explained by conventional classical games. In some situations a quantum player can acquire a quantum good from people regardless of their strategies, while on the other hand people can find quantum strategies that improve their welfare based on an agreement. Those novel properties imply that quantum games also shed new light on theories of mechanism design, auction and contract in the quantum era.

23 pages, 13 figures

References in corpus (7)

• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• The Quantum Internet
• Experimental quantum teleportation
• Quantum random access memory
• Fault-tolerant quantum computation with high threshold in two dimensions
• Topological fault-tolerance in cluster state quantum computation
• Quantum phase communication channels assisted by non-deterministic noiseless amplifiers

Cited by in corpus (4)

• Demonstration of Quantum Energy Teleportation on Superconducting Quantum Hardware
• Long-range quantum energy teleportation and distribution on a hyperbolic quantum network
• Quantum Protocol for Decision Making and Verifying Truthfulness among $N$-quantum Parties: Solution and Extension of the Quantum Coin Flipping Game
• Quantum Extensive Form Games