Abstract
In this paper we provide a simple random-variable example of inconsistent information, and analyze it using three different approaches: Bayesian, quantum-like, and negative probabilities. We then show that, at least for this particular example, both the Bayesian and the quantum-like approaches have less normative power than the negative probabilities one.
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Notes
- 1.
We limit our discussion to finite spaces.
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Acknowledgments
Many of the details about negative probabilities were developed in collaboration with Patrick Suppes, Gary Oas, and Claudio Carvalhaes on the context of a seminar held at Stanford University in Spring 2011. I am indebted to them as well as the seminar participants for fruitful discussions. I also like to thank Tania Magdinier, Niklas Damiris, Newton da Costa, and the anonymous referees for comments and suggestions.
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de Barros, J.A. (2014). Decision Making for Inconsistent Expert Judgments Using Negative Probabilities. In: Atmanspacher, H., Haven, E., Kitto, K., Raine, D. (eds) Quantum Interaction. QI 2013. Lecture Notes in Computer Science(), vol 8369. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-54943-4_23
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DOI: https://doi.org/10.1007/978-3-642-54943-4_23
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