Even people outside of California have heard about proposition 13, the tax-revolt referendum which, exactly 29 years ago, changed the property tax law so that one's property taxes only go up marginally while you own a property. Your tax base remains fixed at the price you paid for your house, with minor increments. If you sell and buy a house of similar value (or inherit in many cases) your tax basis and tax bill can jump alarmingly.
The goal of Prop 13 was that people would not find themselves with a tax bill they couldn't handle just because soaring real estate values doubled or tripled the price of their home, as has often taken place in California. (Yes, I can hear your tears of sympathy.) In particular older people living off savings were sometimes forced to leave, always unpopular.
However, there have been negative consequences. One, it has stopped tax revenues from rising as fast as the counties like, resulting in underfunding of schools and other public programs. (This could be fixed by jacking up the rates even more on more recent buyers of homes but that has its own problems.)
Two, it generates a highly inequitable situation. Two identical families living in two identical houses -- but one has a tax bill of $4,000 per year and the other has a tax bill of $15,000 per year, based entirely on when they bought or inherited their house. I would think this is unconstitutional but the courts said it is not.
Three it's an impediment to moving (as if the realtor monopoly's 6% scam were not enough.) There are exemptions in most counties for moves within California by seniors.
Here's my fix: Each house would, as in most jurisdictions, be fairly appraised, and receive a tax bill based on that. Two identical houses -- same tax bill. However, those who had a low basis value in their home could elect to defer some of that bill (ie. the difference between the real bill and their base bill derived from the price they paid for their home) until they sold the home. There would be interest on this unpaid amount, in effect they would be borrowing against the future equity of the home in order to have a lower tax bill.