NANJING, China — China has tried just about everything to tame a property market in which home prices sometimes jump around like the value of Bitcoin.

Over the years, in one city or another, it has limited mortgage lending. It has tried to halt purchases of homes by people who already own one. It has plowed billions of dollars into building new homes that regular Chinese people can afford.

Now the Chinese government is considering adopting something that, while familiar to homeowners in the United States and elsewhere, could dramatically reshape the world’s second-largest economy: a property tax.

Living in a place without property taxes may sound appealing, but a growing number of experts and policymakers in China say the absence of one has helped destabilize a vast and crucial part of the Chinese economy.