Jones, a far-right pundit and provocateur, has been criticized for promoting widely debunked theories.
"The most important thing that we can do is we look at the incentives that we're building into our product", Dorsey told the newspaper.
"I feel any suspension, whether it be a permanent or a temporary one, makes someone think about their actions and their behaviors", Dorsey said.
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The video is no longer available on Twitter or Periscope, where Jones posted it.
"We're going to hold Jones to the same standard we hold to every account, not taking one-off actions to make us feel good in the short term, and adding fuel to new conspiracy theories", Dorsey tweeted on August 7, after the other companies took action against Jones.
He has a large following on social media, including 889,000 followers on Twitter.
Jones, who's also an ardent supporter of President Donald Trump, has often come under fire for peddling disinformation from his site and downplaying the wrenching loop of mass school shootings.
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Dorsey had originally defended his company's decision not to ban Jones, tweeting that Jones "hasn't violated our rules" but if he does "we'll enforce".
Several days ago, Facebook removed four videos Jones posted that the group said violated its policy on hate speech.
Twitter is one of the only major social media companies that has not scrubbed its platform of Jones or InfoWars.
Jones has used the moves as a battle cry, calling the purge of his online accounts a conspiracy by "big tech" to censor conservative viewpoints ahead of the 2018 midterm election and 2020 presidential election.
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