The prior work on stochastic dominance for finite consequence sets

The gap

Evidence profile

Sourced from the stated research gap and future-work section and stated challenges of the source papers, classified as general, drawn from work published between 1974 and 2026, spanning 3 journals. Those papers have been cited 33 times in total.

Supporting evidence — 6 representative gaps

• Conditional stochastic dominance (2026) · Theory and Decision · doi

  The paper identifies a gap in the existing literature on stochastic dominance, particularly in its restrictive conditions and limited function in decision-making. It highlights the need for a more flexible approach, such as conditional stochastic dominance. The paper also identifies a gap in the understanding of the relationship between stochastic dominance and utility functions, particularly in cases with uncertainty and no clear preference.

  generalstated research gap
  Keywords: paper identifies gap existing literature stochastic dominance particularly
• Further developments on stochastic dominance for convex combinations of infinite-mean random variables (2026) · Annals of Operations Research · doi

  The existing literature on stochastic dominance has typically assumed finite expectations. There is a need for a systematic investigation of the properties and inclusion relationships among distribution classes. The paper identifies a gap in the existing literature on stochastic comparisons and heavy-tailed distributions.

  generalstated research gapevidence 5/5
  Keywords: existing literature stochastic dominance has typically assumed finite
• Convex stochastic dominance with finite consequence sets (1974) · Theory and Decision · cited 11× · doi

  The paper identifies a gap in the prior work on stochastic dominance for finite consequence sets. The paper identifies the need for a more general formulation of stochastic dominance that can be applied to a wider range of decision-making problems.

  generalstated research gapevidence 5/5
  Keywords: paper identifies gap prior work stochastic dominance finite
• Convex stochastic dominance with finite consequence sets (1974) · Theory and Decision · cited 11× · doi

  The paper suggests that future research could focus on developing empirical evidence to support its theoretical results. The paper suggests that future research could explore the applications of convex stochastic dominance in different decision-making contexts.

  generalfuture-work sectionevidence 5/5
  Keywords: paper suggests future research focus developing empirical evidence
• Convex stochastic dominance with finite consequence sets (1974) · Theory and Decision · cited 11× · doi

  The paper identifies the challenge of developing a more general formulation of stochastic dominance for finite consequence sets. The paper identifies the challenge of analyzing risky decision alternatives with limited information about the decision maker's utility function.

  generalstated challengesevidence 5/5
  Keywords: paper identifies challenge developing general formulation stochastic dominance
• Mean-variance efficient payoffs with stochastic dominance constraints (2026) · Mathematical Methods of Operations Research · doi

  The paper identifies a gap in the existing literature on mean-variance efficient payoffs with stochastic dominance constraints. It notes that the existing solutions are not applicable to the general case. The paper aims to fill this gap by providing a characterization of the optimal solution and a numerical solution for the general case.

  generalstated research gapevidence 5/5
  Keywords: paper identifies gap existing literature mean-variance efficient payoffs

Questions about this gap