Voters seem most concerned about quality of life issues and public safety. They are also trying to figure out ranked-choice voting.On the first day of early voting in New York City, Michael and Eunice Collins voted together in Harlem. Both are worried about the city, but they are divided over who is the best person to fix it.Mr. Collins, a transit worker, voted for Eric Adams for mayor. “I think he has a greater sensitivity to some of these hot issues — racial injustice and that kind of thing,” he said.His wife, Ms. Collins, a nurse, wanted a change: “Andrew Yang will bring a fresh perspective to the city.” The couple, both 66, ranked Raymond J. McGuire, a former Wall Street executive, second on their ballots.This is the first time that New Yorkers can vote early in a mayoral election. Voters were sparse on Saturday and Sunday, and lines at polling stations were much shorter than during the presidential election last year. Early voting will last from June 12 to June 20. The primary election is on June 22.But it is also the first time the city will be using ranked-choice voting — a factor that has added a significant measure of unpredictability into the mayor’s race.Interviews with dozens of voters across the city over the weekend, from the Grand Concourse in the Bronx to Flushing in Queens, revealed that the Democratic primary for mayor was still very much up for grabs, and that most voters were taking advantage of being able to rank up to five candidates out of the field of 13.Michael and Eunice Collins after voting in Harlem on Saturday.Karsten Moran for The New York TimesMany voters named quality of life concerns and public safety as their top issues. Kevin Mancuso, a creative director for a hair care company, said he voted for Mr. Yang, the 2020 presidential candidate, calling him “more of a visionary” than the other candidates and “a newer version” of former Mayor Michael R. Bloomberg.He also said that he was worried about crime, garbage on the streets and an increase of people with mental health problems.“I feel like I’m living in some third world country,” Mr. Mancuso, 65, said after voting in Harlem. “I grew up here — my parents were born here, I was born here. I’ve never seen it so bad.”In southeast Queens, Ayo Olanipekun, 53, a pilot, ranked Mr. Adams, the Brooklyn borough president, first, then Mr. McGuire and Maya Wiley.“In my case, crime is the sole big issue,” he said. “So I focused on the candidate that I felt might be best suited to address the issue of crime. And then obviously the situation with bringing jobs back to the city — that was another issue.”New York City has 104 early voting sites, up from 88 for the 2020 presidential election, when there were very long lines. In addition to the Democrats on the ballot for mayor, there are two Republicans, and a host of other important races, from City Council elections to competitive races for city comptroller and Manhattan district attorney.Only about 16,800 people voted on Saturday, compared with 93,800 on the first day of early voting last October during the presidential election, according to the city’s Board of Elections.Political groups are encouraging New Yorkers to vote early to avoid long lines on Election Day. Two mayoral candidates, Kathryn Garcia, the city’s former sanitation commissioner, and Shaun Donovan, the former federal housing secretary, voted on Saturday as did Evelyn Yang, the wife of Mr. Yang.The Rev. Al Sharpton, the civil rights leader, held a rally on Saturday with several leading candidates to encourage people to vote early. Mr. Sharpton decided not to make a mayoral endorsement this year, disappointing Mr. Adams who had been pushing hard for his support. Still, on Saturday, Mr. Sharpton defended Mr. Adams regarding questions about his residency, saying that Mr. Adams clearly lived in Brooklyn.Mayor Bill de Blasio, a Democrat in his second term, said he planned to vote on June 22 — after watching the final debate on Wednesday — and was still deciding which candidates to rank.“This has been unlike any election I’ve ever seen,” Mr. de Blasio said on WNYC on Friday. “I think this will be volatile right up to the end. I think people are going to be deciding, you know, many people, day before, day of, or even as they’re walking into the booth.”Bracelets labeled “Voted Early” were handed out at InTech Academy in the Bronx.Desiree Rios for The New York TimesAt Lincoln Center on the Upper West Side of Manhattan, Trish O’Sullivan, 73, a psychotherapist, voted for Ms. Garcia first and Mr. Adams second. She said that her top issue was homelessness and that she supported Ms. Garcia because of her endorsement from The New York Times’s editorial board and her “solid track record.”“I have faith in Garcia because she knows how to accomplish things,” she said.In Park Slope, Brooklyn, Peter Karp, 63, a software engineer, said he ranked three left-leaning candidates: Ms. Wiley, a former counsel to Mr. de Blasio, first; Scott Stringer, the city comptroller, second; and Dianne Morales, a former nonprofit executive, third. He said he cared most about affordable housing, the city’s economic recovery and reopening schools.“I’m very excited about the ranked voting,” he said. “I feel like it’s an ability to really vote for who closest aligns with your views without throwing your vote to the absolute opposite of that.”At the Bronx County Courthouse, Candice Rowser, 40, a college professor of political science and African-American history, said she cared about jobs and the “excessively high cost of living.” She left her apartment in Queens in May because she could no longer afford the rent, which had jumped to $1,400 per month from $1,000 over the years.Ms. Rowser ranked Ms. Wiley first, Mr. Adams second, Ms. Garcia third and Ms. Morales fourth. After years as an independent voter, she decided to register as a Democrat when she heard that Mr. Yang was considering a run for mayor.“When I saw on Twitter that Mr. Yang was filing paperwork to be mayor, I said, ‘hell no,’” Ms. Rowser said. “He has no experience, and he’s clueless.”.css-1xzcza9{list-style-type:disc;padding-inline-start:1em;}.css-3btd0c{font-family:nyt-franklin,helvetica,arial,sans-serif;font-size:1rem;line-height:1.375rem;color:#333;margin-bottom:0.78125rem;}@media (min-width:740px){.css-3btd0c{font-size:1.0625rem;line-height:1.5rem;margin-bottom:0.9375rem;}}.css-3btd0c strong{font-weight:600;}.css-3btd0c em{font-style:italic;}.css-w739ur{margin:0 auto 5px;font-family:nyt-franklin,helvetica,arial,sans-serif;font-weight:700;font-size:1.125rem;line-height:1.3125rem;color:#121212;}#NYT_BELOW_MAIN_CONTENT_REGION .css-w739ur{font-family:nyt-cheltenham,georgia,’times new roman’,times,serif;font-weight:700;font-size:1.375rem;line-height:1.625rem;}@media (min-width:740px){#NYT_BELOW_MAIN_CONTENT_REGION .css-w739ur{font-size:1.6875rem;line-height:1.875rem;}}@media (min-width:740px){.css-w739ur{font-size:1.25rem;line-height:1.4375rem;}}.css-9s9ecg{margin-bottom:15px;}.css-uf1ume{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-box-pack:justify;-webkit-justify-content:space-between;-ms-flex-pack:justify;justify-content:space-between;}.css-wxi1cx{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;-webkit-flex-direction:column;-ms-flex-direction:column;flex-direction:column;-webkit-align-self:flex-end;-ms-flex-item-align:end;align-self:flex-end;}.css-12vbvwq{background-color:white;border:1px solid #e2e2e2;width:calc(100% – 40px);max-width:600px;margin:1.5rem auto 1.9rem;padding:15px;box-sizing:border-box;}@media (min-width:740px){.css-12vbvwq{padding:20px;width:100%;}}.css-12vbvwq:focus{outline:1px solid #e2e2e2;}#NYT_BELOW_MAIN_CONTENT_REGION .css-12vbvwq{border:none;padding:10px 0 0;border-top:2px solid #121212;}.css-12vbvwq[data-truncated] .css-rdoyk0{-webkit-transform:rotate(0deg);-ms-transform:rotate(0deg);transform:rotate(0deg);}.css-12vbvwq[data-truncated] .css-eb027h{max-height:300px;overflow:hidden;-webkit-transition:none;transition:none;}.css-12vbvwq[data-truncated] .css-5gimkt:after{content:’See more’;}.css-12vbvwq[data-truncated] .css-6mllg9{opacity:1;}.css-qjk116{margin:0 auto;overflow:hidden;}.css-qjk116 strong{font-weight:700;}.css-qjk116 em{font-style:italic;}.css-qjk116 a{color:#326891;-webkit-text-decoration:underline;text-decoration:underline;text-underline-offset:1px;-webkit-text-decoration-thickness:1px;text-decoration-thickness:1px;-webkit-text-decoration-color:#326891;text-decoration-color:#326891;}.css-qjk116 a:visited{color:#326891;-webkit-text-decoration-color:#326891;text-decoration-color:#326891;}.css-qjk116 a:hover{-webkit-text-decoration:none;text-decoration:none;}Lois M. Williams, a retired teacher in the Bronx, first ranked Mr. Stringer, who was endorsed by the teachers’ union, followed by Mr. Adams and Mr. Yang.“I wasn’t going to leave Eric out of it because I’ve known Eric for years,” she said. “He’s honest and he speaks the truth, whether people like it or not.”In Flushing, Queens, Yu Liu, 69, a retired factory worker from Beijing, said he voted for Mr. Yang. Speaking in Mandarin, Mr. Liu said he was upset by an uptick in anti-Asian bias and people saying things to him like, “You brought the virus.”“It’s important to have a Chinese mayor who can speak for us — so all of us can be treated equally,” he said of Mr. Yang, whose parents are from Taiwan. “Right now, we are not treated equally.”Judy Luong, 47, and her husband, Yuen Wong, 57, also voted for Mr. Yang.“We want a moderate candidate,” Ms. Luong said. “For us, it’s about law and order. Public safety is No. 1.”New Yorkers will use ranked-choice voting for the first time in a mayoral election, choosing five candidates in order of preference, which some observers say might result in increased voting times and longer lines at the polls.Victor J. Blue for The New York TimesBut many voters across the city were skeptical of Mr. Yang, including Carol Berkin, 78, a professor of American history on the Upper West Side. She declined to say who she voted for, but she said that her strategy was to help candidates not named Yang.“I was giving his competition as much support as possible,” she said.In Flatbush, Brooklyn, several voters said crime was their top issue. Vanessa Sanchez, 67, said Mr. Adams was her first choice. Although she understood the ranked-choice voting system, she did not rank any other candidates.“I have followed him through the years, I have seen his work,” she said. “He’s a retired police officer. He’s experienced.”Many voters were disillusioned with Mr. de Blasio. Joe Cangelosi, 44, who considers himself “left of center,” voted in Park Slope for Ms. Garcia first, Mr. Adams second and then Ms. Wiley and Ms. Morales.He said he did not vote for Mr. Yang because the candidate had left the city during the pandemic. Mr. Cangelosi said his family stayed, and he had Covid in March 2020. He had voted for Mr. de Blasio in 2013.“I think he was the best option at the time,” he said. “Am I pleased with the results? No.”Reporting was contributed by More