Monotone preferences

In economics, an agent's preferences are said to be weakly monotone if, given a consumption bundle x, the agent prefers all consumption bundles y that have more of every good. That is, implies . An agent's preferences are said to be strongly monotone if, given a consumption bundle x, the agent prefers all consumption bundles y that have more of at least one good. That is, and imply .

This definition defines monotonic increasing preferences. Monotonic decreasing preferences can often be defined to be compatible with this definition. For instance, an agent's preferences for pollution may be monotonic decreasing (less pollution is better). In this case, the agent's preferences for lack of pollution are monotonic increasing.

Much of consumer theory relies on a weaker assumption, local nonsatiation.

An example of preferences which are weakly monotone but not strongly monotone are those represented by a Leontief utility function.

References

• Mas-Colell, Andreu, Whinston, Michael D., Green, Jerry R. Microeconomic Theory. Oxford University Press. 1995.

See also

• Monotonic function#Monotonicity in calculus and analysis
• Strict

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