Bidding
From the Comprehensive Rules 4.0:
In the Starter Rules, players decide randomly who goes first. Normally, however, players bid burdens to determine this.
Players place secret bids for the right to determine who goes first in the game. The bidding is done with black tokens, which will become burdens on your Ring-bearer.
Each player secretly places a number of burdens in his hand (you may bid zero). When all players are ready, simultaneously reveal the bids. The highest bid wins the right to choose where he goes in the turn order. Any choice is available.
Next, the second highest bidder chooses from the remaining positions in the turn order, and so on. Keep track of each player’s bid, as these tokens will become burdens on his Ring-bearer.
If there are any ties, then the tied players resolve randomly who chooses first among them.
The first player sits down, and the others then sit in clockwise order around the table according to their choices.