title: Nonlocality and conflicting interest games.
abstract: Nonlocality enables two parties to win specific games with probabilities strictly higher than allowed by any classical theory. Nevertheless, all known such examples consider games where the two parties have a common interest, since they jointly win or lose the game. The main question we ask here is whether the nonlocal feature of quantum mechanics can offer an advantage in a scenario where the two parties have conflicting interests. We answer this in the affirmative by presenting a simple conflicting interest game, where quantum strategies outperform classical ones. Moreover, we show that our game has a fair quantum equilibrium with higher payoffs for both players than in any fair classical equilibrium. Finally, we play the game using a commercial entangled photon source and demonstrate experimentally the quantum advantage.
authors: LTCI, CNRS-Télécom ParisTech, Paris 75013, France and LIAFA, CNRS-Université Paris 7, Paris 75013, France.
authors: Anna
authors: A
authors: Pappa
authors: Indian Institute of Technology, Kanpur 208016, India.
authors: Niraj
authors: N
authors: Kumar
authors: LTCI, CNRS-Télécom ParisTech, Paris 75013, France.
authors: Thomas
authors: T
authors: Lawson
authors: LIAFA, CNRS-Université Paris 7, Paris 75013, France and CQT, National University of Singapore, Singapore 117543, Singapore.
authors: Miklos
authors: M
authors: Santha
authors: Department of Computer Science and Engineering and ITCSC, The Chinese University of Hong Kong, Shatin, NT, Hong Kong.
authors: Shengyu
authors: S
authors: Zhang
authors: LTCI, CNRS-Télécom ParisTech, Paris 75013, France.
authors: Eleni
authors: E
authors: Diamanti
authors: LIAFA, CNRS-Université Paris 7, Paris 75013, France and CQT, National University of Singapore, Singapore 117543, Singapore.
authors: Iordanis
authors: I
authors: Kerenidis