dorsal/arxiv
View SchemaQuantum mechanics, Bayes' theorem and the conjunction fallacy
| Authors | R. Franco |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703222 |
| URL | https://arxiv.org/abs/quant-ph/0703222 |
Abstract
In the present article we consider the conjunction fallacy, a well known cognitive heuristic experimentally tested in cognitive science, which occurs for intuitive judgments in situations of bounded rationality. We show that the quantum formalism can be used to describe in a very simple way this fallacy in terms of interference effect. We evidence that the quantum formalism leads quite naturally to violations of Bayes' rule when considering the probability of the conjunction of two events. Thus we suggest that in cognitive science the formalism of quantum mechanics can be used to describe a \textit{quantum regime}, the bounded-rationality regime, where the cognitive heuristics are valid.
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"abstract": "In the present article we consider the conjunction fallacy, a well known\ncognitive heuristic experimentally tested in cognitive science, which occurs\nfor intuitive judgments in situations of bounded rationality. We show that the\nquantum formalism can be used to describe in a very simple way this fallacy in\nterms of interference effect. We evidence that the quantum formalism leads\nquite naturally to violations of Bayes\u0027 rule when considering the probability\nof the conjunction of two events. Thus we suggest that in cognitive science the\nformalism of quantum mechanics can be used to describe a \\textit{quantum\nregime}, the bounded-rationality regime, where the cognitive heuristics are\nvalid.",
"arxiv_id": "quant-ph/0703222",
"authors": [
"R. Franco"
],
"categories": [
"quant-ph"
],
"title": "Quantum mechanics, Bayes\u0027 theorem and the conjunction fallacy",
"url": "https://arxiv.org/abs/quant-ph/0703222"
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