Analyzing Three-Player Quantum Games in an EPR Type Setup
نویسندگان
چکیده
We use the formalism of Clifford Geometric Algebra (GA) to develop an analysis of quantum versions of three-player non-cooperative games. The quantum games we explore are played in an Einstein-Podolsky-Rosen (EPR) type setting. In this setting, the players' strategy sets remain identical to the ones in the mixed-strategy version of the classical game that is obtained as a proper subset of the corresponding quantum game. Using GA we investigate the outcome of a realization of the game by players sharing GHZ state, W state, and a mixture of GHZ and W states. As a specific example, we study the game of three-player Prisoners' Dilemma.
منابع مشابه
N-Player Quantum Games in an EPR Setting
The N-player quantum games are analyzed that use an Einstein-Podolsky-Rosen (EPR) experiment, as the underlying physical setup. In this setup, a player's strategies are not unitary transformations as in alternate quantum game-theoretic frameworks, but a classical choice between two directions along which spin or polarization measurements are made. The players' strategies thus remain identical t...
متن کاملProbabilistic analysis of three-player symmetric quantum games played using EPR setting
This paper extends our probabilistic framework for two-player quantum games to the mutliplayer case, while giving a unifying perspective on both classical and quantum games. Considering joint probabilities in the standard Einstein-Podolsky-Rosen (EPR) setting for three observers, we use this setting in order to play general three-player non-cooperative symmetric games. We analyze how the peculi...
متن کاملPlaying games with EPR-type experiments
An approach towards quantum games is proposed that uses the unusual probabilities involved in EPR-type experiments directly in two-player games.
متن کاملProbabilistic analysis of three-player symmetric quantum games played using the Einstein–Podolsky–Rosen–Bohm setting
Article history: Received 23 May 2008 Received in revised form 5 September 2008 Accepted 9 September 2008 Available online 20 September 2008 Communicated by C.R. Doering This Letter extends our probabilistic framework for two-player quantum games to the multiplayer case, while giving a unified perspective for both classical and quantum games. Considering joint probabilities in the Einstein–Podo...
متن کاملInvestigations in quantum games using EPR - type set - ups by Azhar Iqbal
Research in quantum games has flourished during recent years. However, it seems that opinion remains divided about their true quantum character and content. For example, one argument says that quantum games are nothing but ‘disguised’ classical games and that to quantize a game is equivalent to replacing the original game by a different classical game. The present thesis contributes towards the...
متن کامل