ua nt - p h / 01 04 09 1 v 3 2 6 A ug 2 00 1 Quantum mechanics gives stability to a Nash equilibrium
نویسنده
چکیده
We consider a slightly modified version of the Rock-Scissors-Paper (RSP) game from the point of view of evolutionary stability. In its classical version the game has a mixed Nash equilibrium (NE) not stable against mutants. We find a quantized version of the RSP game for which the classical mixed NE becomes stable.
منابع مشابه
ua nt - p h / 01 04 09 1 v 2 1 9 A pr 2 00 1 Quantum mechanics gives stability to a Nash equilibrium
We consider a slightly modified version of the Rock-Scissors-Paper (RSP) game from the point of view of evolutionary stability. In its classical version the game has a mixed Nash equilibrium (NE) not stable against mutants. We find a quantized version of the RSP game for which the classical mixed NE becomes stable as well.
متن کاملar X iv : q ua nt - p h / 01 01 10 6 v 2 4 F eb 2 00 1 Entanglement and Dynamic Stability of Nash Equilibrium in a Symmetric Quantum Game
We present an example of a symmetric quantum game for which a dynamically stable Nash equilibrium becomes unstable when the initial state used to play the quantum game is changed to 'entangled' from 'unentan-gled'. The game is played between two players via the proposed scheme of applying 'identity' and 'Pauli spin flip' operators on the initial state with classical probabilities.
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We find the requirements on change of evolutionary stability of a mixed Nash equilibrium (NE) when a game changes its form from classical to quantum or conversely. We consider a quantized two players two strategies symmetric game. We find that an entangled state in a more general form is needed to affect evolutionary stability of a mixed NE than needed, with similar purpose, for a pure NE.
متن کامل04 09 1 v 1 1 8 A pr 2 00 1 Quantum mechanics gives stability to a Nash equilibrium
We consider a slightly modified version of the Rock-Scissors-Paper (RSP) game from the point of view of evolutionary stability. In its classical version the game has a mixed Nash equilibrium (NE) not stable against mutants. We find a quantized version of the RSP game for which the classical mixed NE becomes stable as well.
متن کاملar X iv : q ua nt - p h / 01 01 10 6 v 1 2 2 Ja n 20 01 Entanglement and Dynamic Stability of Nash Equilibrium in a Symmetric Quantum Game
We present an example of a symmetric quantum game for which a dynamically stable Nash equilibrium becomes unstable when the initial state used to play the quantum game is changed to 'entangled' from 'unentan-gled'. The game is played between two players via the proposed scheme of applying 'identity' and 'Pauli spin-flip' operators on the initial state with classical probabilities.
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