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Economics

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Aggregating ordinal probabilities on finite sets

Article Abstract:

Ordinal aggregation approach provides the framework in compiling individual preferences into consensus relations in a social choice context with a finite number of states. Imposition of a Weak Pareto and Binary Independence of Irrelevant Alternatives depends upon the number of states and the ordinal and ordering codomains used. As a whole, the approach permits aggregation even with cardinal probabilities using Savage's normalization rule.

Econometrics & Model Building, Economic aspects, Econometrics, Probabilities, Probability theory, Business models

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A quasiordering is the intersection of orderings

Article Abstract:

There is proof that ordering intersections results in quasiordering by using the proofs of Dushnik and Miller. Dushnik and Miller have proved that any strict partial ordering is the intersection of strict linear orderings and that were abel to prove this by building upon Szpilrajn's work showing that any strict partial ordering is a subrelation of strict linear ordering under Duggan's work showing a more general extension theorem.

Research and Development in the Physical, Engineering, and Life Sciences, Statistics, Research, Analysis, Reports, Nonparametric statistics, Statistics (Mathematics), Statistical hypothesis testing, Order statistics

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Efficient strategy-proof exchange and minimum consumption guarantees

Article Abstract:

Any strategy-proof social choice function that chooses Pareto optimal outcomes can't assure all a consumption bundle bounded away from the origin for exchange economics with classical economic preferences. There is a fundamental conflict between efficiency and distributional goals in exchange economics if the social choice rule needs to be strategy-proof.

Strategic planning (Business), Exchange theory (Sociology)

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