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Nonlocality and conflicting interest games.

Anna Pappa1, Niraj Kumar2, Thomas Lawson3

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Quantum mechanics offers an advantage in conflicting interest games, outperforming classical strategies. This study demonstrates a quantum game with higher payoffs for both players, verified experimentally.

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Area of Science:

  • Quantum Information Science
  • Game Theory
  • Quantum Foundations

Background:

  • Nonlocality in quantum mechanics allows for higher winning probabilities in cooperative games.
  • Previous research focused on games with common interests, not conflicting ones.

Purpose of the Study:

  • To investigate if quantum nonlocality provides an advantage in games with conflicting interests.
  • To introduce a novel conflicting interest game showcasing quantum superiority.

Main Methods:

  • Development of a simple conflicting interest game.
  • Theoretical analysis of quantum vs. classical strategies and equilibria.
  • Experimental implementation using entangled photons.

Main Results:

  • Quantum strategies outperform classical strategies in the proposed conflicting interest game.
  • A fair quantum equilibrium yields higher payoffs for both players than any fair classical equilibrium.
  • Experimental verification of the quantum advantage was achieved.

Conclusions:

  • Quantum nonlocality can be leveraged to gain an advantage in scenarios with competing interests.
  • The demonstrated game provides a new platform for exploring quantum advantages beyond cooperative settings.