16,656 research outputs found
Quantum Penny Flip game with unawareness
Games with unawareness model strategic situations in which players'
perceptions about the game are limited. They take into account the fact that
the players may be unaware of some of the strategies available to them or their
opponents as well as the players may have a restricted view about the number of
players participating in the game. The aim of the research is to introduce this
notion into theory of quantum games. We shall focus on PQ Penny Flip game
introduced by D. Meyer. We shall formalize the previous results and consider
other cases of unawareness in the game
Quantum repeated games
In a two-stage repeated classical game of prisoners' dilemma the knowledge
that both players will defect in the second stage makes the players to defect
in the first stage as well. We find a quantum version of this repeated game
where the players decide to cooperate in the first stage while knowing that
both will defect in the second.Comment: Revised in the light of referee's comments. Latex, 10 pages, 1 eps
figure, submitted to Physics Letters
Quantum Cooperative Games
We study two forms of a symmetric cooperative game played by three players,
one classical and other quantum. In its classical form making a coalition gives
advantage to players and they are motivated to do so. However in its quantum
form the advantage is lost and players are left with no motivation to make a
coalition.Comment: Revised in the light of referee's comments. Submitted to Physics
Letters A. LaTex, 9 pages, 1 figure. Parts of this paper are rewritte
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.Comment: Revised on referee's criticism, submitted to Physical Review
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