1. Strong monotonicity) ⇒weak monotonicity.
2. Strong monotonicity) ⇒local non satiation.
3. Local non satiation ) ⇒non satiation.
A useful implication of strong monotonicity or local non satiation in consumer choice is that the consumer will spend all her income, so every optimal choice lies on the boundary of the budget set. Note that neither weak monotonicity nor non satiation is su½cient to provide this result
For Information: (see exercise 1.248).