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- W4366990224 abstract "Boolean-based probability is the paradigm of formulating and manipulating probability problems in the Boolean domain so as to obtain the probabilities of given events as expectations of indicator variables of these events. This paper is a brief exposition of Boolean-based probability and a demonstration of its techniques in terms of a vector-weighted voting system that involves a large number of variables. Symmetry considerations as well as the availability of quadratic-time algorithms for k-out-of-n probability evaluation are key elements in accomplishing successful efficient handling of this system. A symbolic solution is obtained for the probability that this system upholds a certain decision in terms of the probabilities that the decision is supported by the individual voters within the system. This symbolic solution is utilized in a switching-algebraic proof that the dimension of the voting system considered is exactly two." @default.
- W4366990224 created "2023-04-27" @default.
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- W4366990224 date "2023-04-24" @default.
- W4366990224 modified "2023-09-29" @default.
- W4366990224 title "Boolean-Based Probability: The Case of a Vector-Weighted Voting System" @default.
- W4366990224 doi "https://doi.org/10.31219/osf.io/emsrj" @default.
- W4366990224 hasPublicationYear "2023" @default.
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