I wonder how great the impact on initiative bidding would be if initiative was determined randomly every turn and having the lowest cost list only slightly improved your chances of winning the roll-off.
(eg. Both roll 1 red die;
Crit beats Hit, Hit beats Eye, Eye beats Blank;
Best symbol has initiative;
If both roll same symbol, lower cost list has initiative, if equal cost re-roll...
... now of course, that means it's difficult for a player that doesn't want initiative to bid towards that goal - can't spend more than 100, only less - so if 'winning' the roll could give you the choice take or surrender initiative it would increase the utility of having a bid, thus will continue to encourage a bidding war.
However, under a scheme such as this, having a superior bid does not guarantee you get your initiative choice for the whole game, merely almost doubles your chances of getting to choose any given round.*)
Would "improving the likelihood" rather than "guarantee you choose" be valued as highly?
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* =
With equal cost lists, each player has a 36% chance of winning the roll, leaving an 18% chance of a draw. With a bid, that player has 64% chance to win vs opponent's 36% (a ratio of 1.8:1)
Edited by ABXY