Incomplete Preferences and Indeterminate Qualitative Probability

Yang Liu

Incomplete Preferences and Indeterminate Qualitative Probability

Yang Liu^*

^*Corresponding author for this work

Research output: Contribution to conference › Conference Paper

Abstract

The notion of qualitative probability defined in Bayesian subjective theory stems from an intuitive idea that, for a given pair of events, one event may be considered “more probable than” the other. Yet it is conceivable that there are cases where it is indeterminate as to which event is more probable, due to, e.g., lack of robust statistical information. This paper provides an axiomatisation of a generalised notion of qualitative probability within the analytic framework of L. J. Savage which includes probabilistic indeterminate cases.

Original language	English
Publication status	Published - 2019
Externally published	Yes
Event	Workshop on Logics for the Formation and Dynamics of Social Norm, LFDSN 2019 - Duration: 1 Jan 2019 → 1 Jan 2019

Conference

Conference	Workshop on Logics for the Formation and Dynamics of Social Norm, LFDSN 2019
Period	1/01/19 → 1/01/19

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https://hdl.handle.net/1783.1/121013

Cite this

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title = "Incomplete Preferences and Indeterminate Qualitative Probability",

abstract = "The notion of qualitative probability defined in Bayesian subjective theory stems from an intuitive idea that, for a given pair of events, one event may be considered “more probable than” the other. Yet it is conceivable that there are cases where it is indeterminate as to which event is more probable, due to, e.g., lack of robust statistical information. This paper provides an axiomatisation of a generalised notion of qualitative probability within the analytic framework of L. J. Savage which includes probabilistic indeterminate cases.",

author = "Yang Liu",

year = "2019",

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note = "Workshop on Logics for the Formation and Dynamics of Social Norm, LFDSN 2019 ; Conference date: 01-01-2019 Through 01-01-2019",

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AU - Liu, Yang

PY - 2019

Y1 - 2019

N2 - The notion of qualitative probability defined in Bayesian subjective theory stems from an intuitive idea that, for a given pair of events, one event may be considered “more probable than” the other. Yet it is conceivable that there are cases where it is indeterminate as to which event is more probable, due to, e.g., lack of robust statistical information. This paper provides an axiomatisation of a generalised notion of qualitative probability within the analytic framework of L. J. Savage which includes probabilistic indeterminate cases.

AB - The notion of qualitative probability defined in Bayesian subjective theory stems from an intuitive idea that, for a given pair of events, one event may be considered “more probable than” the other. Yet it is conceivable that there are cases where it is indeterminate as to which event is more probable, due to, e.g., lack of robust statistical information. This paper provides an axiomatisation of a generalised notion of qualitative probability within the analytic framework of L. J. Savage which includes probabilistic indeterminate cases.

M3 - Conference Paper

T2 - Workshop on Logics for the Formation and Dynamics of Social Norm, LFDSN 2019

Y2 - 1 January 2019 through 1 January 2019

ER -

Incomplete Preferences and Indeterminate Qualitative Probability

Abstract

Conference

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Cite this