A few of the names were predictable. Ken Jennings, the “Jeopardy!” champion who had the longest winning streak on the show, would be the ideal choice, some fans said.

Other suggestions were more unusual. What about Rosie Perez, the charismatic actress who, in “White Men Can’t Jump,” played a trivia geek who was determined to get on the game show?

As fans mourned longtime “Jeopardy!” host Alex Trebek, who died at 80 on Sunday, they also began to speculate about who might replace him. Social media buzzed with suggestions and jokes about who should host the show, from mainstream options, like Jennings and ABC News anchor George Stephanopoulos, to more jarring ones, like Joe Rogan, the brash comedian and podcast host.

Heated debates around the replacement of a popular game show host are hardly new. Reddit, the social networking and message board site, is rife with rankings and discussions of who was the best host of “Family Feud.” When Bob Barker retired from the “The Price is Right” in 2007 after 35 years and 6,828 episodes, fans speculated anxiously about who would replace him.

Trebek was not even the first host of “Jeopardy!” When the show was revived in 1984, some fans of its original host, Art Fleming, bristled at the cerebral Trebek, who was not afraid to show off his knowledge of trivia, said Claire McNear, whose book about “Jeopardy!,” “Answers in the Form of Questions,” was released Tuesday.

Now he is synonymous with the show.

“Trebek really felt like a member of the family because he was there in your living room every night,” McNear said.

It was understandable, then, that fans would ponder Trebek’s replacement even as they grieved him, she said.

So, at least according to the fans, who are the contenders?

LeVar Burton

Many fans on social media were pushing for LeVar Burton, who hosted “Reading Rainbow”; played Lt. Geordi La Forge, the brainy, blind engineer on “Star Trek: The Next Generation”; and portrayed Kunta Kinte in the 1977 miniseries “Roots.”

By Tuesday, more than 1,500 people had signed a petition urging Sony Pictures Entertainment Inc. and the show’s executive producer, Harry Friedman, to give Burton the job.

“LeVar Burton has inspired and shaped the minds of several generations of trivia-loving nerds,” the petition said.

Trebek had said he would like to see a woman or a person of color succeed him, according to McNear, who interviewed him for her book.

“He did say to me that he was keenly aware that the vast majority of hosts were white men,” she said, “and it would be wonderful if the next host of ‘Jeopardy!’ did not look like him.”

Ken Jennings

Jennings is another fan favorite. Not only did he win a record 74 consecutive games and $2.52 million on “Jeopardy!” in 2004, he is also a consultant on the show.

His serious yet genial demeanor would make him a natural successor to Trebek, said Steve Macek, a professor of communication at North Central College in Naperville, Illinois.

“Fans would be upset if Trebek were replaced by some colorful or funny personality who upstaged the contestants and the questions,” he said. “Ken Jennings, the winningest ‘Jeopardy!’ contestant, has to be in contention, and he’d be a good choice.”

And Jennings wants the job, or at least he did two years ago when McNear interviewed him for her book. “He told me that he would absolutely serve his country and serve his game show if he were asked,” she said.

Rosie Perez

Perez’s turn as a “Jeopardy!” obsessive in “White Men Can’t Jump” (1992) remained memorable enough to spark support from several fans.

“If the new Jeopardy host isn’t Rosie Perez then I don’t want it,” one fan wrote on Twitter. “Rosie or Bust,” another said.

Not many other women have been cited by fans as a possible host, even though Trebek championed the idea of a woman taking over. In 2018, he said he thought Laura Coates, a CNN senior legal analyst, would make a good host.

Still, Sarah Kornfield, a fan of the show and a professor of communication at Hope College in Michigan, said it was unlikely that the producers would choose a woman to fill the role. “Expertise and warmth and trustworthiness are associated with masculine characteristics in the United States,” Kornfield said. “People associate women experts with being shrill, and that is not the tone that ‘Jeopardy!’ is supposed to set for the night.”

She said she was personally rooting for Melissa Harris-Perry, an American politics professor and former MSNBC host.

Joe Rogan

Rogan, the popular but divisive podcaster, was on the minds of some fans, who said his unpolished persona would give the sober-minded quiz show a much-needed jolt.

“Joe Rogan needs to host Jeopardy,” one fan wrote. “He would have a field day making fun of the contestants.”

But Rogan, who presents himself as a counterweight to what he sees as political correctness run amok, has drawn criticism for discussing conspiracy theories, belittling transgender people and sharing his platform with far-right figures, such as Gavin McInnes, founder of the Proud Boys.

McNear said he should not be considered a serious candidate to succeed Trebek.

” ‘Jeopardy!’ fans would be rioting in the street,” she said. “The institution must protected.”