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Surprisingly, a carbon tax would operate much like a diamond tax, for reasons both of demand and supply.

Demand: The wealthy actually consume a disproportionate amount of carbon. Discussions of a carbon tax usually focus on the price of gasoline. One gallon of gas produces about 17 pounds of CO2. One metric ton is 2,204 pounds. So a $100 tax on a ton of CO2 comes to $0.77 per gallon -- a significant cost to low-income commuters and small truckers.

But the very poor don't drive or travel or occupy much space; the rich fly planes, including private jets; drive to low-density suburbs; occupy and heat multiple houses and hotels; and buy lots of stuff. Clearly the rich consume much more carbon per capita than the poor.

Demand elasticity for oil is low, about 0.5; so a 1 percent increase in oil price would cause a 0.5 percent decrease in consumption. That makes sense, since in the short run, it's hard for people to cut energy consumption, especially if they must drive to work. But, though numbers are hard to come by, elasticity of supply is much, much lower, for two reasons. First, oil production takes decades and billions in capital investment; producers cannot quickly increase or decrease supply. Second, oil producers form an international cartel, an organized mega-monopoly, which holds down production to drive up prices. Since they're already charging what the traffic will bear, they can't much raise prices to cover a tax.

As economists long ago figured out, buyers and sellers share a tax in inverse proportion to elasticity. Therefore, if supply elasticity of carbon is, say, 0.1, while demand elasticity is 0.5, the suppliers will pay five times as much of the tax as consumers. That reduces that $0.77 per gallon gas tax to only $0.13. Moreover, precisely because most of the tax falls on suppliers, it will generate plenty of revenue to help those unfortunate long-distance commuters and small truckers, to build more public transportation, to invest in renewable energy, and even to cut super-regressive taxes like the payroll tax.

According to Edward Wolff, in 2007, the top 1 percent in the U.S. owned 43 percent of non-home wealth, mostly securities, including of course energy company stocks and bonds. The top 10 percent of wealth holders owned 83 percent.

A May 2013 federal study of the Social Cost of Carbon estimated costs of additional CO2 emissions for 2010 to 2050 ranging from $27 to $221 per metric ton in 2050, depending on assumptions.

So we have good news and bad news. Good news: The cost of reducing carbon emissions will fall hardest on the 1 percent, who consume the most energy and own the energy companies. Bad news: Ditto. Expect a fight!