A quantum battle of the sexes cellular automaton

Variable Entangling in a Quantum Battle of the Sexes Cellular Automaton

Quantum Battle of the Sexes Revisited

Several quantum versions of the battle of the sexes game are analyzed. Some of them are shown to reproduce the classical game. In some, there are no Nash quantum pure equilibria. In some others, the payoffs are always equal to each other. In others still, all equilibria favor Alice or Bob depending on a phase shift of the initial state of the system. Explicit detailed calculations are for the f...

The battle of the sexes

The sex determining gene, Sry, determines the sex of the organism by initiating development of a testis rather than an ovary from the cells of the bipotential gonad. In the 10 years since the discovery of Sry, new genes and cellular pathways that operate in the establishment of the gonadal primordium and the initiation of testis development have been discovered. Experiments defining mechanisms ...

A universal quantum cellular automaton

We will prove the existence of a universal quantum cellular automaton. Such qca are defined as the quantum-mechanical pendant of classical one-dimensional cellular automata. As is the case with quantum Turing machines, the well-formedness restriction plays an important role. It will be shown that every proper qca obeys a local constraint which is comparable with the ‘inverse neighborhood’ of cl...

Worst-case Payoffs in Quantum Battle of Sexes Game

In quantum version of the Battle of Sexes game recently suggested by Marinatto and Weber [Phys. Lett. A 272, 291 (2000)] the worstcase payoffs occur when ‘tactics’ are mismatched for a particular initial quantum state or ‘initial strategy’ in the scheme. We show that when a more general initial quantum state is used in this scheme the worst-case payoffs do not occur even for mismatched tactics.