Nash equilibria in quantum games with generalized two-parameter strategies
نویسندگان
چکیده
منابع مشابه
Nash equilibria in quantum games with generalized two-parameter strategies
In the Eisert protocol for 2×2 quantum games [Phys. Rev. Lett. 83, 3077], a number of authors have investigated the features arising from making the strategic space a two-parameter subset of single qubit unitary operators. We argue that the new Nash equilibria and the classical-quantum transitions that occur are simply an artifact of the particular strategy space chosen. By choosing a different...
متن کاملOn Generalized Weight Nash Equilibria for Generalized Multiobjective Games
In this paper, we will introduce the general concepts of generalized multiobjective game, generalized weight Nash equilibria and generalized Pareto equilibria. Next using the fixed point theorems due to Idzik [5] and Kim-Tan [6], we shall prove the existence theorems of generalized weight Nash equilibria under general hypotheses. And as applications of generalized weight Nash equilibria, we sha...
متن کاملComputing Nash Equilibria in Generalized Interdependent Security Games
We study the computational complexity of computing Nash equilibria in generalized interdependent-security (IDS) games. Like traditional IDS games, originally introduced by economists and risk-assessment experts Heal and Kunreuther about a decade ago, generalized IDS games model agents’ voluntary investment decisions when facing potential direct risk and transfer-risk exposure from other agents....
متن کاملComputing Nash Equilibria in Generalized Interdependent Security Games: Supplementary Material
In the following, we assume, without loss of generality, that for all players i, Ri > 0, δi > 0, pi > 0, and αi > 0. Given a joint mixed-strategy x, we partition the players by type w.r.t. x: let I ≡ I(x) ≡ {i | xi = 1}, N ≡ N(x) ≡ {i | xi = 0}, and P ≡ P (x) ≡ {i | 0 < xi < 1} be the set of players that fully invest in protection, do not invest in protection, and partially invest in protection...
متن کاملStability of mixed Nash equilibria in symmetric quantum games
In bi-matrix games the Bishop-Cannings theorem of the classical evolutionary game theory does not permit pure evolutionarily stable strategies (ESSs) when a mixed ESS exists. We find the necessary form of twoqubit initial quantum states when a switch-over to a quantum version of the game also changes the evolutionary stability of a mixed symmetric Nash equilibrium. PACS: 02.50.Le, 03.67.-a, 87....
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics Letters A
سال: 2007
ISSN: 0375-9601
DOI: 10.1016/j.physleta.2006.11.044