General model for a entanglement-enhanced composed quantum game on a two-dimensional lattice

Abstract

We introduce a method of analyzing entanglement enhanced quantum games on regular lattices of agents. Our method is valid for setups with periodic and non-periodic boundary conditions. To demonstrate our approach we study two different types games, namely the prisoner's dilemma game and a cooperative Parrondo's game. In both cases we obtain results showing, that entanglement is a crucial resource necessary for the agents to achieve positive capital gain.

7 pages, 6 figures

References in corpus (4)

• Social Dilemmas and Cooperation in Complex Networks
• Nash equilibria in quantum games with generalized two-parameter strategies
• Parrondo's game using a discrete-time quantum walk
• Cooperative quantum Parrondo's games

Cited by in corpus (4)

• Passive network evolution promotes group welfare in complex networks
• Genuine Parrondo's paradox in quantum walks with time-dependent coin operators
• Generalized open quantum walks on Apollonian networks
• Quantum games on evolving random networks