On the cardinality of the message space in sender–receiver games

Tibor Heumann

Journal of Mathematical Economics, 2020, vol. 90, issue C, 109-118

Abstract: We study sender–receiver games in which a privately informed sender sends a message to N receivers, who then take an action. The sender’s type space T has finite cardinality (i.e., |T|<∞). We show that every equilibrium payoff vector (resp. every Pareto efficient equilibrium payoff vector) is achieved by an equilibrium in which the sender sends at most |T|+N (resp. |T|+N−1) messages with positive probability. We also show that such bounds do not exist when two privately informed senders simultaneously send a message to a receiver.

Keywords: Sender-receiver games; Asymmetric information; Mechanism design with limited commitment (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:90:y:2020:i:c:p:109-118

DOI: 10.1016/j.jmateco.2020.07.001

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