We examine self-referential games in which there is a chance of understanding an opponent’s intentions. Our main focus is on the interaction of two sources of information about opponents’ play: direct observation of the opponent’s code-of-conduct, and indirect observation of the opponent’s play in a repeated setting. Using both sources of information we are able to prove a “folk-like” theorem for repeated self-referential games with private information. This theorem holds even when both sources of information are weak.
https://doi.org/10.20955/wp.2012.031
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