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arxiv: 1504.03919 · v4 · pith:EEBAMAVTnew · submitted 2015-04-15 · 💻 cs.LO · math.RA

A new characterization of complete Heyting and co-Heyting algebras

classification 💻 cs.LO math.RA
keywords characterizationco-heytingcompleteequilibriaheytingnashorder-theoreticalgebra
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We give a new order-theoretic characterization of a complete Heyting and co-Heyting algebra $C$. This result provides an unexpected relationship with the field of Nash equilibria, being based on the so-called Veinott ordering relation on subcomplete sublattices of $C$, which is crucially used in Topkis' theorem for studying the order-theoretic stucture of Nash equilibria of supermodular games.

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