Ranked-Weighted Utilities and Qualitative Convolution

@inproceedings{Marley2001RankedWeightedUA,
  title={Ranked-Weighted Utilities and Qualitative Convolution},
  author={A. A. J. Marley and Tony},
  year={2001}
}
For gambles—non-numerical consequences attached to uncertain chance events—analogues are proposed for the sum of independent random variables and their convolution. Joint receipt of gambles is the analogue of the sum of random variables. Because it has no unique expansion as a first-order gamble analogous to convolution, a definition of qualitative convolution is proposed. Assuming ranked, weighted-utility representations (RWU) over gains (and, separately, over losses, but not mixtures of both… CONTINUE READING

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