aausch comments on Swords and Armor: A Game Theory Thought Experiment - Less Wrong
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I once played a game where a similar kind of setup was arranged with armour - however, the armour selection was not necessarily fixed over each battle. Players could effectively change armour at specific points throughout the combat.
If you want to try an even more interesting arrangement, imagine players get to switch one item of their setup every, say, 10 or 15 rounds.