All the doctor’s tricks were failing him. He’d tried neck massage, pressure to the eyes, ice on the face. But an hour in, Ashish Jha still couldn’t slow his racing heart.

His wife asked what he’d recommend if a patient called with the same problem. “I said, ‘Oh, that’s easy.’ Go to the emergency department.”

As a physician, Jha knew that this tachycardia could lead to a heart attack. Yet he felt caught by a decision he’d made in enrolling his family in a high-deductible insurance plan. Such plans, which offer lower premiums in exchange for higher out-of-pocket expenses, are an increasingly common type of coverage for millions of Americans. The Harvard University health-policy researcher had chosen his — with its $6,000 deductible — as a kind of personal experiment in better understanding how that trade-off influences health.

And now, when faced with the prospect of paying thousands of dollars for an emergency-room visit, Jha stayed home.

“I should have gone to the hospital,” he said recently. But “I knew there was a big bill waiting for me if I did, and I rolled the dice.”

At least 46 million Americans have health plans with deductibles of $1,000 a year or more, according to Paul Fronstin, director of the health research and education program at the Employee Benefit Research Institute. That number represents 25 percent of employees, compared with just 4 percent a decade ago. Some people are given no option by employers that are trying to shift rising health-care costs to workers. Others choose the coverage — which is popular on the Affordable Care Act insurance exchanges — for the lower premium payments.

Understanding high deductibles — including who they help and whether they control short- and long-term spending — is part of Jha’s research on health costs and quality of care. That was the motivation behind his experiment, to “get out of the ivory tower and understand what it’s like to live with one of these,” as he put it.

In his case, the answer was clear: While his decision to avoid the ER saved the health system money, it was unwise from the perspective of patient care.

Studies dating to the 1970s have consistently shown that when consumers must spend a big chunk of their own money on their care, they can cut back by as much as 15 percent. That slowdown happens fast, dropping like a health-care guillotine.

The question researchers still are weighing, though, is what consumers slice off. Do they stop filling name-brand prescriptions when equally effective generics are available?

Or do they avoid critical care, as Jha did in staying home instead of heading to the hospital?

“What I take away from [his] story,” said Amitabh Chandra, a friend and fellow Harvard health-policy economist, “is that simply calling the patient a consumer doesn’t make buying health care anything like buying cars and computers.”

Last year, Chandra and three colleagues looked at what happened after a Fortune 100 company switched 75,000 well-paid, tech-savvy employees into high-deductible plans. What they found closely mirrored Jha’s personal pattern.

Workers — both the healthy and the sick — skipped out on care indiscriminately. “Prevention, imaging or drugs, consumers were cutting back on all those,” Chandra said.

“That’s a sign they don’t really know what care is valuable and what care isn’t valuable.”

Supporters of high-deductible plans argue that consumers need time to adapt and that more tools that will help them price-shop effectively.

The researchers considered that, too. The company put $3,750 into a health savings account for each employee and provided a state-of-the-art online tool to compare prices for tests, doctor’s appointments and other services.

“We found no evidence that consumers were learning to price-shop after two years of high-deductible coverage,” Chandra said. “None.”

High deductibles can be particularly dangerous for poor or chronically ill consumers, he said. “First they get hit with the illness. And then they get hit financially and cognitively with the demands of having to figure out where they should go for care.”

Stephen Parente, a University of Minnesota economist who is working closely with congressional Republicans to build whatever replaces the Affordable Care Act, says that high-deductible plans must be tweaked. He would like to see a standard insurance policy carry at least a $5,000 individual deductible but provide exceptions for care for people with chronic conditions such as diabetes and asthma.

Some 117 million adults have such conditions, which become more expensive if left untreated. For them, self-rationing could compromise their health as well as further drive up spending.

Parente has teamed up with Mark Fendrick, a health-policy professor at the University of Michigan, to develop a “version 2.0,” which would allow people dealing with chronic disease to access certain preventive services before they meet their deductible cap. Fendrick calls it a “high-value health plan.”

Jha and his wife agreed to extend his experiment into a second year. Since his heart scare, his cardiologist has increased his medication and discussed a procedure that is likely to end the tachycardia entirely. Jha admits that he would have already scheduled the appointment except for that same high deductible.

“I can step back and be completely clear what the right answer here is,” he said. “I should go get the procedure. But it’s hard to be rational about this stuff.”

This article was done in partnership with “Marketplace,” the business and economics radio show produced by American Public Media, and Kaiser Health News, a national health-policy news service that is part of the nonpartisan Henry J. Kaiser Family Foundation.