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

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  • Alex A. T. Rathke

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.

Suggested Citation

  • Alex A. T. Rathke, 2025. "A representation theorem for events within lattice structures of state-spaces," Papers 2505.18615, arXiv.org, revised Jul 2025.
    • Handle: RePEc:arx:papers:2505.18615
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    References listed on IDEAS

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