Abstract
A formal model is given of Harsanyi's infinite hierarchies of beliefs. It is shown that the model closes with some Bayesian game with incomplete information, and that any such game can be approximated by one with a finite number of states of world.
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References
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Harsanyi, J.C.: Games With Incomplete Information Played by Bayesian Players. Parts I, II, III. Management Science14 (3, 5, 7), 1967 and 1968.
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Mertens, J.F., Zamir, S. Formulation of Bayesian analysis for games with incomplete information. Int J Game Theory 14, 1–29 (1985). https://doi.org/10.1007/BF01770224
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DOI: https://doi.org/10.1007/BF01770224