# Essays on decision making under variable information

Li, Hualin (2020) Essays on decision making under variable information. PhD thesis, University of Glasgow.

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Chapter 2 considers decision making under uncertainty with objective and variable information structures. We take as primitive a family of information-dependent preferences over subjective acts indexed by partitions of the state space. Each partition corresponds to an information structure. We characterise a utility representation that comprises an affine utility index over simple lotteries, a unique capacity over the state space, and for each partition, a probability measure on the $\sigma$-algebra generated by the partition. We find that such a representation is equivalent to the Choquet expected utility representation with specific machinery of non-additive belief formation. We then connect the utility representation to the definition of comparative uncertainty aversion to explore the characteristic conditions related to the translatability of uncertainty attitude among variable information structures.