The field of candidates to replace council President Joe Shogan remains just two.
In recent weeks, City Councilman Jon Snyder and former City Councilman Brad Stark considered entering the race for council president, but both say they likely will stay out of the contest.
"I looked at it, and it's a definitely winnable race," Stark said.
But Stark, who served four years on the council and lost his seat to Richard Rush in 2007, said he decided his focus should remain on his job and family: "I don't foresee myself running."
Snyder, like Stark, said he was approached by supporters to consider a run.
"I came to the conclusion very quickly that this is not an opportune time," Snyder said.
Former City Councilman Steve Eugster filed paperwork with the state Public Disclosure Commission in 2009 indicating he would run for council president this year, but Eugster said late last year that he had changed his mind about running.