ua nt - p h / 01 06 05 6 v 1 9 J un 2 00 1 Evolutionary stability of mixed Nash equilibrium in quantized symmetric bi - matrix
نویسندگان
چکیده
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.
منابع مشابه
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
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.
متن کاملua 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.
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.
متن کاملnt - p h / 01 03 08 5 v 2 1 7 M ar 2 00 1 Darwinism in Quantum Systems ?
We find quantum mechanics playing a role in evolutionary dynamics described by the notion of an Evolutionarily Stable Strategy (ESS). An ESS being a refinement of Nash equilibrium concept is a stable strategy in an evolutionary game with replicator dynamic as the underlying process. We investigate ESSs in two and three player symmetric quantum games played by the proposed scheme of applying ′ i...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008