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  1.  12
    Agreeing to Disagree and Dilation.Jiji Zhang, Hailin Liu & Teddy Seidenfeld - unknown
    We consider Geanakoplos and Polemarchakis’s generalization of Aumman’s famous result on “agreeing to disagree", in the context of imprecise probability. The main purpose is to reveal a connection between the possibility of agreeing to disagree and the interesting and anomalous phenomenon known as dilation. We show that for two agents who share the same set of priors and update by conditioning on every prior, it is impossible to agree to disagree on the lower or upper probability of a hypothesis unless (...)
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  2.  8
    A Representation Result for Value-Based Contraction.Horacio Arló Costa & Hailin Liu - 2018 - Journal of Philosophical Logic 47 (6):965-989.
    Sven-Ove Hansson and Erik Olsson studied in Hansson and Olsson, 103–119 1995) the logical properties of an operation of contraction first proposed by Isaac Levi in Levi. They provided a completeness result for the simplest version of contraction that they call Levi-contraction but left open the problem of characterizing axiomatically the more complex operation of value-based contraction or saturatable contraction. In this paper we propose an axiomatization for this operation and prove a completeness result for it. We argue that the (...)
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  3. Value-Based Contraction: A Representation Result.Hailin Liu - unknown
    Sven-Ove Hansson and Erik Olsson studied in [7] the logical properties of an operation of contraction first proposed by Isaac Levi in [10]. They provided a completeness result for the simplest version of contraction that they call Levicontraction but left open the problem of characterizing axiomatically the more complex operation of value-based contraction or saturatable contraction. In this paper we propose an axiomatization for this operation and prove a completeness result for it. We argue that the resulting operation is better (...)
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