According to Harsanyi, the Chairperson's social preference ordering over social states must sati

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According to Harsanyi, the Chairperson's social preference...

Key Concepts

Harsanyi's Social Aggregation Framework

This concept refers to the approach developed by Harsanyi where individual utilities are aggregated into a single social welfare function. The framework relies on the use of interpersonal utility comparisons and assumes that if individuals' preferences satisfy certain axioms, then a coherent social preference ordering can be constructed. One of the key axioms is the independence axiom, which ensures consistency in how mixtures of social states are compared.

Independence Axiom

The independence axiom is a principle that requires a social preference ordering to remain consistent when identical probabilistic mixes are applied to the options being compared. Specifically, if one social state is preferred over another, then any lottery that combines this state with a third state should preserve the ordering when the same mixing proportion is applied to both. A violation of this axiom indicates that preferences are being swayed by factors irrelevant to the core comparison.

Social Preference Ordering

This concept involves systematically ranking social states to determine which outcomes are more desirable for the group. In the context of Harsanyi’s analysis, the Chairperson’s ordering of social states needs to be consistent with the axioms underlying expected utility theory, including the independence axiom. Deviations from this ordering rule may result in preference inconsistencies that challenge the rational aggregation of individual utilities.

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