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Sequential decisions with tests

David Gill () and Daniel Sgroi

Games and Economic Behavior, 2008, vol. 63, issue 2, 663-678

Abstract: We consider a principal-agent problem where the principal wishes to be endorsed by a sequence of agents, but cannot truthfully reveal type. In the standard "herding" model, the agents learn from each other's decisions, which can lead to cascades on a given decision when later agents' private information is swamped. We augment the standard model to allow the principal to subject herself to a test designed to provide public information about her type. She must decide how tough a test to attempt from a continuum of test types, which involves trading off the higher probability of passing an easier test against the greater impact from passing a tougher test. We find that the principal will always choose to be tested, and will prefer a tough test to a neutral or easy one.

Date: 2008
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Working Paper: Sequential Decisions with Tests (2005) Downloads
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