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Connecting choice functions and sets of desirable gambles

Arthur Van Camp (UGent) , Gert De Cooman (UGent) and Erik Quaeghebeur (UGent)
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Abstract
We study Seidenfeld, Schervish, and Kadane’s notion of choice functions, and want to make them accessible to people who are familiar with sets of desirable gambles. We relate both theories explicitly using their derived strict partial orderings. We give an expression for the most conservative extension of a set of desirable gambles to a choice function. Because it is important for inference purposes, we also make a link with belief structures.

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Citation

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Chicago
Van Camp, Arthur, Gert De Cooman, and Erik Quaeghebeur. 2014. “Connecting Choice Functions and Sets of Desirable Gambles.” In Imprecise Probabilities in Statistics and Philosophy, Proceedings.
APA
Van Camp, Arthur, De Cooman, G., & Quaeghebeur, E. (2014). Connecting choice functions and sets of desirable gambles. Imprecise Probabilities in Statistics and Philosophy, Proceedings. Presented at the Imprecise Probabilities in Statistics and Philosophy.
Vancouver
1.
Van Camp A, De Cooman G, Quaeghebeur E. Connecting choice functions and sets of desirable gambles. Imprecise Probabilities in Statistics and Philosophy, Proceedings. 2014.
MLA
Van Camp, Arthur, Gert De Cooman, and Erik Quaeghebeur. “Connecting Choice Functions and Sets of Desirable Gambles.” Imprecise Probabilities in Statistics and Philosophy, Proceedings. 2014. Print.
@inproceedings{4629536,
  abstract     = {We study Seidenfeld, Schervish, and Kadane{\textquoteright}s notion of choice functions, and want to make them accessible to people who are familiar with sets of desirable gambles. We relate both theories explicitly using their derived strict partial orderings. We give an expression for the most conservative extension of a set of desirable gambles to a choice function. Because it is important for inference purposes, we also make a link with belief structures.},
  author       = {Van Camp, Arthur and De Cooman, Gert and Quaeghebeur, Erik},
  booktitle    = {Imprecise Probabilities in Statistics and Philosophy, Proceedings},
  language     = {eng},
  location     = {Munich, Germany},
  pages        = {6},
  title        = {Connecting choice functions and sets of desirable gambles},
  year         = {2014},
}