Abstract
It is the focus of this work to extend and study the previously proposed quantum-like Bayesian networks (Moreira and Wichert, 2014, 2016) 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 diagram 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.
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Moreira, C., Wichert, A. (2019). Introducing Quantum-Like Influence Diagrams for Violations of the Sure Thing Principle. In: Coecke, B., Lambert-Mogiliansky, A. (eds) Quantum Interaction. QI 2018. Lecture Notes in Computer Science(), vol 11690. Springer, Cham. https://doi.org/10.1007/978-3-030-35895-2_7
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DOI: https://doi.org/10.1007/978-3-030-35895-2_7
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