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If Preferences Are Convex, Then for Any Commodity Bundle X

question 48

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If preferences are convex, then for any commodity bundle x, the set of commodity bundles that are worse than x is a convex set.


Definitions:

Pareto Efficient

A condition in which no individual's situation can be improved without worsening the situation of another individual.

Public Good

A product or service that is provided without profit to all members of a society, either by the government or a private individual or organization.

Private Good

A product or service that is consumed by an individual and cannot be used or consumed by others once it is purchased.

Pareto Optimal

Pareto optimal describes a state in an economic system where it’s impossible to make any one individual better off without making at least one individual worse off, indicating an efficiency in resource allocation.

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