Subjective Programming with Smooth and Convex Preferences

Subjective Expected Utility with Incomplete Preferences

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Semidefinite Programming and Graph Partitioning with Preferences

Logic Programming with Preferences and Constraints

This paper discusses a logic programming (LP) paradigm and accompanying semantic foundations for specifying constraints and preferences. While the use of constraints in LP languages is well-known, we show that preferences are also natural and are useful in logical speciication of optimization and relaxation problems which arise in many applications involving constraints, e.g., engineering desig...

Duality and Convex Programming

This chapter surveys key concepts in convex duality theory and their application to the analysis and numerical solution of problem archetypes in imaging.

Objective and Subjective Expected Utility with Incomplete Preferences

This paper extends the expected utility models of decision making under risk and under uncertainty to include incomplete beliefs and tastes. The main results are two axiomatizations of the multiprior expected multi-utility representations of preference relation under uncertainty, thereby resolving long standing open questions. The Knightian uncertainty model and expected multi-utility model wit...