“The Relationship between Quantum and Classical Correlation in Games”, Adam Brandenburger2010-05 (mechanism design)⁠:

Quantum games have been argued to differ from classical games by virtue of the quantum-mechanical phenomenon of entanglement. We formulate a baseline of classical correlation—which takes two forms according as signals added to the game are or are not required to be independent of chance moves in the underlying game.

We show that independence is a necessary condition for the addition of quantum signals to have a different effect from the addition of classical signals.

See Also:

• Quantum and classical correlations between players in game theory

• Quantum Auctions: Facts and Myths

• Quantum Auctions

• Quantum sealed-bid auction using the phases of quantum entangled states as bids

• No quantum advantage for nonlocal computation

• Quantum Effects in Algorithms

• Quantum advantage in learning from experiments

• Entanglement guarantees emergence of cooperation in quantum prisoner’s dilemma games on networks