8,028 research outputs found
Quantum repeated games revisited
We present a scheme for playing quantum repeated 2x2 games based on the
Marinatto and Weber's approach to quantum games. As a potential application, we
study twice repeated Prisoner's Dilemma game. We show that results not
available in classical game can be obtained when the game is played in the
quantum way. Before we present our idea, we comment on the previous scheme of
playing quantum repeated games
Parrondo games as lattice gas automata
Parrondo games are coin flipping games with the surprising property that
alternating plays of two losing games can produce a winning game. We show that
this phenomenon can be modelled by probabilistic lattice gas automata.
Furthermore, motivated by the recent introduction of quantum coin flipping
games, we show that quantum lattice gas automata provide an interesting
definition for quantum Parrondo games.Comment: 12 pages, plain TeX, 10 PostScript figures included with epsf.tex
(ignore the under/overfull \vbox error messages); for related work see
http://math.ucsd.edu/~dmeyer/research.htm
Quantum games and quantum algorithms
A quantum algorithm for an oracle problem can be understood as a quantum
strategy for a player in a two-player zero-sum game in which the other player
is constrained to play classically. I formalize this correspondence and give
examples of games (and hence oracle problems) for which the quantum player can
do better than would be possible classically. The most remarkable example is
the Bernstein-Vazirani quantum search algorithm which I show creates no
entanglement at any timestep.Comment: 10 pages, plain TeX; to appear in the AMS Contemporary Mathematics
volume: Quantum Computation and Quantum Information Science; revised remarks
about other quantum games formalisms; for related work see
http://math.ucsd.edu/~dmeyer/research.htm
Static Quantum Games Revisited
The so called \emph{quantum game theory} has recently been proclaimed as one
of the new branches in the development of both quantum information theory and
game theory. However, the notion of a quantum game itself has never been
strictly defined, which has led to a lot of conceptual confusion among
different authors. In this paper we introduce a new conceptual framework of a
\emph{scenario} and an \emph{implementation} of a game. It is shown that the
procedures of "quantization" of games proposed in the literature lead in fact
to several different games which can be defined within the same scenario, but
apart from this they may have nothing in common with the original game. Within
the framework we put forward, a lot of conceptual misunderstandings that have
arisen around "quantum games" can be stated clearly and resolved uniquely. In
particular, the proclaimed essential role of entanglement in several static
"quantum games", and their connection with Bell inequalities, is disproved
Doves and hawks in economics revisited. An evolutionary quantum game theory-based analysis of financial crises
The last financial and economic crisis demonstrated the dysfunctional
long-term effects of aggressive behaviour in financial markets. Yet,
evolutionary game theory predicts that under the condition of strategic
dependence a certain degree of aggressive behaviour remains within a given
population of agents. However, as the consequences of the financial crisis
exhibit, it would be desirable to change the 'rules of the game' in a way that
prevents the occurrence of any aggressive behaviour and thereby also the danger
of market crashes. The paper picks up this aspect. Through the extension of the
in literature well-known Hawk-Dove game by a quantum approach, we can show that
dependent on entanglement, also evolutionary stable strategies can emerge,
which are not predicted by classical evolutionary game theory and where the
total economic population uses a non aggressive quantum strategy
Analyzing three-player quantum games in an EPR type setup
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.Comment: 21 pages, 3 figure
- …