Further application of categorical methods to social choice theory
Research gap analysis derived from 3 mathematics papers in our local library.
The gap
Further application of categorical methods to social choice theory - Analysis of other social choice problems using these methods - Investigation of potential applications in decision-making and preference aggregation
Evidence profile
Sourced from the future-work section and stated research gap of the source papers, classified as general, drawn from work published between 1972 and 1981, spanning 3 journals. Those papers have been cited 198 times in total.
Research trend
Established — well-defined area with open sub-problems.
Supporting evidence — 4 representative gaps
- The categorical approach to social choice theory (1981) · Mathematical Social Sciences · cited 7× · doi
Further application of categorical methods to social choice theory - Analysis of other social choice problems using these methods - Investigation of potential applications in decision-making and preference aggregation
generalfuture-work sectionevidence 5/5Keywords: further application categorical methods social choice theory analysis - The existence of group preference functions (1976) · Public Choice · cited 83× · doi
Further analysis of the conditions of transitivity and independence. Further analysis of the role of decisiveness in social choice. Further research on the implications of the results for social choice theory and decision-making processes.
generalfuture-work sectionevidence 5/5Keywords: further analysis conditions transitivity independence role decisiveness social - Even-chance lotteries in social choice theory (1972) · Theory and Decision · cited 54× · doi
The paper identifies a gap in the literature by exploring a third approach that combines features of previous approaches. The study recognizes that prior work has not fully examined the implications of individual preference axioms for social choice. The paper notes that the literature lacks a comprehensive analysis of even-chance lotteries in social choice theory.
generalstated research gapevidence 5/5Keywords: paper identifies gap literature exploring third approach combines - Even-chance lotteries in social choice theory (1972) · Theory and Decision · cited 54× · doi
Future research could explore the application of the paper's results to real-world problems. The study suggests that further analysis of individual preference axioms and their implications for social choice is needed. The paper recommends examining the robustness of its findings to different assumptions and models.
generalfuture-work sectionevidence 5/5Keywords: future research explore application paper results real-world problems
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