[An Anti-founded Universal Belief Class]

Lismont, L.
(1992) Comptes rendus de l’Académie des sciences - Series I - Mathematics — Vol. 315, n° 11, p. 1117-1120 (1992)

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  • Lismont, L.
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Abstract
Mertens and Zamir have proposed the construction of a universal belief space which allows model games with incomplete information. We suggest here an alternative method for constructing such a universal space. Our construction is purely set theoretical and makes use of Aczel's theory of anti-founded sets. We also show that all Mertens and Zamir belief subspaces can be embedded in this alternative universe.
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Lismont, L. (1992). [An Anti-founded Universal Belief Class]. Comptes rendus de l’Académie des sciences - Series I - Mathematics, 315(11), 1117-1120. https://hdl.handle.net/2078.5/88149 (Original work published 1992)