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Catch-22 in a Signalling Game

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Abstract

In this paper signals are observed by two receivers who have different preferences about the sender and therefore respond to information about himin different ways. This can result in a Catch-22 for the sender; if he sends a signal to induce a positive response from one receiver, this may induce a negative response from the other. The problem is modelled as a three player game and the analysis shows that the Catch-22 can be resolved but only when there are three possibilities with respect to the sender's disposition or the initial probabilities relating to the sender's type are equal.

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