Game idea: Battleships, but you take 5 shots at a time and all you know is how many of them hit, not which ones. Harder variant: all you know is if the number of hits was >= the result of a secretly rolled six-sided die.
Yeah, that's similar to what I was going for with the die variant. I guess anything non-deterministic gets hard to audit, but we can probably assume players won't cheat.
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Ah, I was thinking specifically that players get to chose when to lie, but only up until a certain amount. Choosing when to use this ability becomes part of your strategy. Though "be honest about your amount of dishonesty" is maybe a bit of a weird game mechanic.
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Nice thing is that's actually easier to audit after the fact than a die roll - just check the records of number of hits at the end against the true positions and make sure there are <=N differences.
End of conversation
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