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Value without absolute convergence.

By Luc Lauwers and Peter Vallentyne

Abstract

We address how the value of risky options should be assessed in the case where the sum of the probability-weighted payoffs is not absolutely convergent and thus dependent on the order in which the terms are summed (e.g., as in the Pasadena Paradox). We develop and partially defend a proposal according to which options should be evaluated on the basis of agreement among admissible (e.g., convex and quasi-symmetric) covering sequences of the constituents of value (i.e., probabilities and payoffs).

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  1. (1971). An Introduction to Probability Theory and Its Applications,
  2. (2010). Decision theory meets the Witch of Agnesi,‖ unpublished draft.
  3. (1997). Infinite Utility and Finitely Additive Value Theory,‖
  4. (2003). Intertemporal Equity and the Extension of the Ramsey Criterion,‖
  5. (2004). Is Evaluative Compositionality a Requirement of Rationality?‖
  6. (2010). Ordering infinite utility streams comes at the cost of a non-Ramsey set,‖
  7. (2007). Putting Expectations in Order,‖
  8. (2008). Relative Expectation Theory,‖
  9. (2008). Strong and Weak Expectations,‖ Mind 117(467):633-641
  10. (1965). Von Weizsäcker

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