Pivato, Marcus and Vergopoulos, Vassili (2018): Subjective expected utility with topological constraints.

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Abstract
In many decisions under uncertainty, there are technological constraints on the acts an agent can perform and on the events she can observe. To model this, we assume that the set S of possible states of the world and the set X of possible outcomes each have a topological structure. The only feasible acts are continuous functions from S to X, and the only observable events are regular open subsets of S. We axiomatically characterize Subjective Expected Utility (SEU) representations of conditional preferences over acts, involving a continuous utility function on X (unique up to positive affine transformations), and a unique Borel probability measure on S, along with an auxiliary apparatus called a "liminal structure", which describes the agent’s imperfect perception of events. We also give other SEU representations, which use residual probability charges or compactifications of the state space.
Item Type:  MPRA Paper 

Original Title:  Subjective expected utility with topological constraints 
Language:  English 
Keywords:  Subjective expected utility; topological space; technological feasibility; continuous utility; regular open set; Borel measure 
Subjects:  D  Microeconomics > D8  Information, Knowledge, and Uncertainty > D81  Criteria for DecisionMaking under Risk and Uncertainty 
Item ID:  85749 
Depositing User:  Marcus Pivato 
Date Deposited:  11 Apr 2018 07:39 
Last Modified:  03 Oct 2019 05:48 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/85749 