SACRAMENTO, Calif. — California’s governor is setting in motion the most populous state’s climb toward the nation’s highest statewide minimum wage of $15 an hour to take effect by 2022. Gov. Jerry Brown’s bill signing today, and a similar effort in New York, mark the most ambitious moves yet to close the national divide between rich and poor. Experts say other states may follow, given Congress’ reluctance to act despite entreaties from President Barack Obama.

Republicans and business groups warn that the move could cost thousands of jobs, while a legislative analysis puts the ultimate cost to taxpayers at $3.6 billion a year in higher pay for government employees.

The bill will bump the state’s $10 hourly minimum by 50 cents next year and to $11 in 2018. Hourly $1 raises will then come every January until 2022, unless the governor imposes a delay during an economic recession. Businesses with 25 or fewer employees will have an extra year to comply.

Wages will rise with inflation each year thereafter.

Brown negotiated the deal with labor unions to head off competing labor-backed ballot initiatives that would have imposed swifter increases with fewer safeguards.

About 2.2 million Californians now earn the minimum wage, but University of California, Irvine, economics professor David Neumark estimated the boost could cost 5 to 10 percent of low-skilled workers their jobs.