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In the Three Little Pigs tale, the brick house is a non-exclusionary non-rival good, which can be modeled as a distributive category.
BH x (Pig1 + Pig2 + Pig3) -> BHxPig1 + BHxPig2 + BHxPig3.
BH x (Pig1 + Pig2 + Pig3) -> BHxPig1 + BHxPig2 + BHxPig3.
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Anyway, formal models of (non-rivalrous and non-excludable) public goods (such as safety) are well-developed. What exactly are you trying to achieve with your own model?
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