Who goes first?
From the publisher’s rulebook

Who goes first in Wormholes?

English AEG rules, eight-page publisher PDF

The player who most recently went through a doorway starts. The rules also allow choosing randomly.

Read the publisher’s rulebook

If there’s a tie

The cited starting-player instruction does not specify a tie-break. We don’t infer one.

Source & edition

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Found a different instruction in your edition? Send a correction with the game, edition, and source.