The phrase "have less incentive" is correct and can definitely be used in written English.
For example, "With a low wage, employees have less incentive to work hard."
They will have less incentive to grow to raise profitability.
By removing choice, providers will have less incentive to compete on quality.
But because of how those opportunities are changing, legislators have less incentive to compromise.
But in the future, refugees will have less incentive to surrender.
"Credit rating firms would have less incentive to compete with one another," the company said.
They also have less incentive to save for their children's education.
"From an economic perspective they have less incentive to fight" pressure from the government, he said.
Furthermore, as the sex markets become bigger and more efficient, people have less incentive to get married.
But the department decries garbage chutes, which provide for such easy garbage disposal that people have less incentive to recycle.
So they have less incentive to engage North Korea and seek a negotiated end to its missile program.
Of course, as the most watched network for three of the last four years, they have less incentive to change.
