In the week since the United States presidential election, Elon Musk has used X, the social media platform he owns, to reiterate his support for President-elect Donald J. Trump. Some of the platform’s users have decided that they would rather post elsewhere. Among the largest beneficiaries of that desire is Bluesky, a rival service that has gained more than a million new users in the week since the election, a company spokeswoman, Emily Liu, said on Tuesday. The majority of the new users live in the United States, Canada and Britain, she added. “We’re seeing increased activity levels across all different forms of engagement,” she said in an email.