In a multi-player game, it tracks only the chosen player. This is not changed even if this card changes controllers.

Jihad : règles, fonctionnement et interactions (MTG)

Jihad is one of those cards players keep asking about. Here is, in plain words, what its official text says, the rulings published by Wizards of the Coast, and the combos players actually run.

Official card text

As this enchantment enters, choose a color and an opponent. White creatures get +2/+1 as long as the chosen player controls a nontoken permanent of the chosen color. When the chosen player controls no nontoken permanents of the chosen color, sacrifice this enchantment.

How it works : Jihad

Original English text — Wizards of the Coast / Scryfall

#1October 4, 2004· Wizards of the Coast
In a multi-player game, it tracks only the chosen player. This is not changed even if this card changes controllers.
No other card is named in this ruling.