Pazner-Schmeidler rules in large societies

Article Abstract:

The fair division problem, which is one of the central problems in welfare economics, was considered for large societies under the assumptions that the societies can change and that the bundle of goods to be divided is fixed. Moreover, a characterization of Pazner-Schmeidler's egalitarian-equivalent rules was provided via the axioms of efficiency, the equal split lower bound for utilities and solidarity with respect to changes in society. The results showed that the presence of non-convex preferences does not allow the characterization.

Models, Distribution of goods, Distribution (Commerce), Welfare economics

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On the probability that all decision rules select the same winner

Article Abstract:

Issues related to achieving compromises in relation to social choices are examined in detail. The case of three-candidate elections is examined for insights into this issue.

Social aspects, Economic aspects, Economic policy, Probabilities, Probability theory

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Representing subjective orderings of random variables: an extension

Article Abstract:

The way that random variables can be ordered subjectively is examined in detail, and implications of the results for behavior are assessed.

Psychological aspects, Research, Random variables

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