Think ahead and reason backwards. Sketch a game tree and construct ranking outcomes. If the outcome is not desirable, think about how to change the game (change contractual terms, change the order of moves).
You can win by exploiting conflict among weaker members.
Consolidate your strength by forcing others to act sequentially (prevent others from co-ordinating).
It is always better to be on the attack because you can decide on time and place and the form of attack. It is first-mover advantage. First-mover advantage does not exist where a subsequent bidder can undercut your bid.

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