It seems that a word is missing in the card. About ties, the text is:
"If players hold multiple events of same high value, choose which one to give."
What is the implicit subject of choose? "They" for "the players" or "you" the player of the card?
I lean towards they, as hands should remain secret, but clarification is still needed.
"Choose which one to give" is telling the person who's doing the giving to choose the card. There's no ambiguity.