SAN FRANCISCO — After more than a week of accusations that the spread of fake news on Facebook may have affected the outcome of the presidential election, Mark Zuckerberg published a detailed post Friday night describing ways the company was considering dealing with the problem.

Mr. Zuckerberg, Facebook’s chairman and chief executive, broadly outlined some of the options he said the company’s news feed team was looking into, including third-party verification services, better automated detection tools and simpler ways for users to flag suspicious content.

“The problems here are complex, both technically and philosophically,” Mr. Zuckerberg wrote. “We believe in giving people a voice, which means erring on the side of letting people share what they want whenever possible.”

The post was perhaps the most detailed glimpse into Mr. Zuckerberg’s thinking on the issue since Donald J. Trump’s defeat of Hillary Clinton in the Nov. 8 election. Within hours of his victory being declared, Facebook was accused of affecting the election’s outcome by failing to stop bogus news stories, many of them favorable to Mr. Trump, from proliferating on its social network. Executives and employees at all levels of the company have since been debating its role and responsibilities.