Double Donkey

You are all donkeys. Sorry, that's how it is in this game. But being a donkey is not bad, there are plenty of others. But still, nobody wants to be the biggest donkey. So you better choose the right dice, risk a bit and quickly get rid of your donkey cards!

Gameplay:
Each player is dealt a deck of 10 cards. The decks are placed face down in front of each player and everyone draws 3 cards from it.

Dice Phase: Roll the six dice. Choose a die and set it aside.
The next person rolls the remaining five dice and sets one aside, and so on...until all dice results are determined.

Card Phase: Now all players simultaneously must play 1-3 donkey-cards from their hand. The numbers on the dice determine the value of the cards (colors of the donkey-cards = value of the color dice).
The player with the highest card-value is the "biggest donkey" in this round and cannot discard his cards.
All other players draw new cards from their own decks.

Game end:
The first player to get rid of his deck (of 10 cards) is the winner!