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arXiv · 2505.18615

A representation theorem for events within lattice structures of state-spaces

Alex A. T. Rathke
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Abstract

For the standard lattice model of information structures, we derive a reduced poset representation which provides the same informational content as the complete lattice structure which derives it. Rational agents can recover the complete lattice of events by means of the reduced poset alone. We find that both structures provide isomorphic models under mild conditions.

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Alex A. T. Rathke. 2025-05-24. A representation theorem for events within lattice structures of state-spaces. https://arxiv.org/abs/2505.18615

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