Last month President Obama gave a speech invoking the spirit of Teddy Roosevelt on behalf of progressive ideals — and Republicans were not happy. Mitt Romney, in particular, insisted that where Roosevelt believed that “government should level the playing field to create equal opportunities,” Mr. Obama believes that “government should create equal outcomes,” that we should have a society where “everyone receives the same or similar rewards, regardless of education, effort and willingness to take risk.”

As many people were quick to point out, this portrait of the president as radical redistributionist was pure fiction. What hasn’t been as widely noted, however, is that Mr. Romney’s picture of himself as a believer in a level playing field is just as fictional. Where is the evidence that he or his party cares at all about equality of opportunity?

Let’s talk for a minute about the actual state of the playing field.

Americans are much more likely than citizens of other nations to believe that they live in a meritocracy. But this self-image is a fantasy: as a report in The Times last week pointed out, America actually stands out as the advanced country in which it matters most who your parents were, the country in which those born on one of society’s lower rungs have the least chance of climbing to the top or even to the middle.

And if you ask why America is more class-bound in practice than the rest of the Western world, a large part of the reason is that our government falls down on the job of creating equal opportunity.