Introducing Quantum-Like Influence Diagrams for Violations of the Sure
  Thing Principle
  It is the focus of this work to extend and study the previously proposed
quantum-like Bayesian networks to deal with decision-making scenarios by
incorporating the notion of maximum expected utility in influence diagrams. The
general idea is to take advantage of the quantum interference terms produced in
the quantum-like Bayesian Network to influence the probabilities used to
compute the expected utility of some action. This way, we are not proposing a
new type of expected utility hypothesis. On the contrary, we are keeping it
under its classical definition. We are only incorporating it as an extension of
a probabilistic graphical model in a compact graphical representation called an
influence diagram in which the utility function depends on the probabilistic
influences of the quantum-like Bayesian network.
  Our findings suggest that the proposed quantum-like influence digram can
indeed take advantage of the quantum interference effects of quantum-like
Bayesian Networks to maximise the utility of a cooperative behaviour in
detriment of a fully rational defect behaviour under the prisoner's dilemma
game.
