Analysis of ultimatum game reveals information acquisition impacts buyer surplus, suggesting optimal signal structure.
We consider an ultimatum game where the value of the object being sold to the buyer is high or low. The seller knows the value, but the buyer does not. The value to the seller is zero. We introduce the option for the buyer to acquire costly information after an offer is made. This information either confirms the high value or provides no information. As the cost of information vanishes, the buyer gets all the surplus in a refinement of perfect Bayesian equilibrium, although the option to acquire information is never used. Moreover, this signal structure is optimal for the buyer. (JEL C72, C78, D82, D83)
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Chatterjee et al. (2025) studied this question.
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