NEW YORK — Verizon Communications Inc.’s announcement that it will once again offer an unlimited pricing plan marks a shift in its thinking as a price war among the four biggest U.S wireless carriers accelerates.

The biggest wireless carrier in the U.S. said on Sunday that it will offer an unlimited data plan, its first in more than five years.

The plan, priced at $80 a month for unlimited data, talk and text on a single line, is cheaper than AT&T’s unlimited plan for DirecTV now and U-Verse subscribers but costs more than plans offered by smaller rivals T-Mobile US Inc. and Sprint Corp. On Monday, Verizon also said it was offering free smartphones for customers who switched over.

T-Mobile shares fell 2.8 percent in early afternoon trading on Nasdaq. AT&T, Sprint and Verizon shares were down roughly 1 percent on the New York Stock Exchange as investors worried about how a price war would erode margins.

Verizon stopped offering unlimited plans in 2011 largely due to concerns about network capacity and a desire to charge more to customers who were heavier users of data, Dave Heger, senior equity analyst at Edward Jones, said in an interview.

On an earnings conference call with investors in late January, Chief Financial Officer Matt Ellis said the quality of Verizon’s network allowed the company to maintain a premium price, adding that an unlimited plan was “not something we feel the need to do.”

“Verizon resisted going back to unlimited if they could,” Heger said. “It became obvious that the market wasn’t going to necessarily allow that.”

The move could hurt the industry’s profit margins, putting more pressure on major players to cut costs, analysts said.

“As the carrier was the last holdout, the announcement solidifies the industry’s move back to unlimited plans which ultimately constricts growth and elevates the pressure to drive down network costs,” Amir Rozwadowski, an analyst at Barclays, said in a note.

But Jennifer Fritzsche, an analyst at Wells Fargo, argued that the move was a “fightback” moment for the company.

Verizon said in January that it added fewer subscribers than anticipated in the fourth quarter. Defections among wireless customers who pay bills on a monthly basis increased to 1.10 percent of total wireless subscribers, compared with the average analyst estimate of 1.05 percent, according to FactSet.