It already looks clear that many Obamacare insurance plans are going to raise their prices significantly.

Over the last few years, average premium increases in the ObamaCare markets have been lower than the increases for people who bought their own insurance in premiums before the Affordable Care Act. But several trends are coming together that suggest that pattern will break when plan premiums are announced in early November. Many plans may increase prices by 10 percent, or more.

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For years, voters in this swing state have rejected tax increases and efforts to expand government. But now they are flirting with a radical transformation: whether to abandon President Obama’s health care policy and instead create a new, taxpayer-financed public health system that guarantees coverage for everyone.

The estimated $38-billion-a-year proposal, which will go before Colorado voters in November, will test whether people have an appetite for a new system that goes further than the Affordable Care Act. That question is also in play in the Democratic presidential primaries.

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Donald Trump’s healthcare plan is a “whipsaw of ideas” and an “incoherent mishmash that could jeopardize coverage for millions of newly insured people,” according to conservative health policy experts. Mr. Trump’s health care platform “resembles the efforts of a foreign student trying to learn health policy as a second language,” according to AEI’s Tom Miller. AEI’s Jim Capretta adds that replacing the ACA would require a “herculean effort, with clear direction and a clear vision of what would come next. I just don’t see that in Trump’s vague plans to repeal the law and replace it with something beautiful and great.” Trump must “discard some of his ideas, like the importation of prescription drugs, because they would be damaging and unworkable,” according to Grace-Marie Turner. “And he has to flesh out his other proposals with much more detail if he hopes to persuade voters that he has a credible plan to replace Obamacare.” Robert Laszewski, a former insurance executive, called Mr. Trump’s health care proposals “a jumbled hodgepodge of old Republican ideas, randomly selected, that don’t fit together.”

The Obama administration, responding to consumer complaints, says it will begin rating health insurance plans based on how many doctors and hospitals they include in their networks.

At the same time, the maximum out-of-pocket costs for consumers under the Affordable Care Act will increase next year to $7,150 for an individual and $14,300 for a family, the administration said. Consumer advocates said those costs could be a significant burden for middle-income people who need a substantial amount of care.

Under new rules to be published Tuesday in the Federal Register, insurers will still be allowed to sell health plans with narrow networks of providers. But consumers will know in advance what they are getting because the government will attach a label indicating the breadth of the network for each plan sold on HealthCare.gov.

On Christmas Eve in 2009, Secretary of State Hillary Clinton was awake before dawn to personally monitor a critical moment in the nation’s history.

But Mrs. Clinton, the country’s top diplomat, was not observing a covert operation in the Middle East or tracking pivotal negotiations with a foreign power. Her television was tuned to C-Span, and she was watching the Senate vote on President Obama’s landmark health care law.

Emails released last week by the State Department that were found on Mrs. Clinton’s private server show that she was keenly interested in the administration’s push to win passage of the health care law.

Deductibles and other forms of cost-sharing have been creeping up in the United States since the late 1990s. A typical employer health plan now asks an individual to pay more than $1,000 out of pocket before coverage kicks in for most services. The most popular plans on the Affordable Care Act exchanges require customers to pay several times as much. Even Medicare charges deductibles.

People tend to hate these features, but they were not devised to be cruel. Rather, they were fashioned with economic theory in mind. Deductibles and co-payments are intended to make patients behave more like consumers in other parts of the economy.

New research suggests that high deductibles in particular may not work as intended. A team of researchers at the University of California, Berkeley, and Harvard recently published a working paper on what happened when a large (unnamed) employer switched from a more generous health plan to one with a high deductible.

Spending fell by about 12%, a remarkable decline. But the way workers achieved those savings gave the researchers pause. There was no evidence that workers were comparing prices or making wise choices on where to cut, even after two years in the new plan. They visited the same doctors and hospitals they always had.

Oklahoma declined to set up an insurance exchange or to expand its Medicaid program, which has some of the nation’s most restrictive eligibility criteria. State officials say the number of private insurers participating on the federal insurance exchange here has fallen, and the premiums of the insurance plans on offer have increased.

The public’s attitude can also be an obstacle: Supporters of the Affordable Care Act often encounter stony skepticism here.

“‘Obamacare’ is a cuss word in this state,” said former Gov. David Walters, a Democrat.

When the Affordable Care Act was drafted, the Congressional Budget Office expected people to sign up quickly for new health insurance.

Now, two years into the law, it’s clear that progress is going to be slower. The Obama administration acknowledged as much in late 2014, and again in October, when it presented its own modest predictions. Monday, the budget office also agreed, slashing its 2016 estimate by close to 40%.

Eager to maximize coverage under the Affordable Care Act, the Obama administration has allowed large numbers of people to sign up for insurance after the deadlines in the last two years, destabilizing insurance markets and driving up premiums, health insurance companies say.

The administration has created more than 30 “special enrollment” categories and sent emails to millions of Americans last year urging them to see if they might be able to sign up after the annual open enrollment deadline. But, insurers and state officials said, the federal government did little to verify whether late arrivals were eligible.

Obama administration officials said last month that about 2.5 million new customers had bought insurance through HealthCare.gov since open enrollment began on Nov. 1. The number of new enrollees is 29% higher than last year at this time, suggesting that the threat of a larger penalty may be motivating more people to get covered.

But plenty of healthy holdouts remain, and their resistance helps explain why insurers are worried about the financial viability of the exchanges over time. People who earn too much to qualify for federal subsidies that defray the cost of coverage may be most likely to opt out.