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Sequential sampling beyond decisions? A normative model of decision confidence
Rehák, Rastislav
We study informational dissociations between decisions and decision confidence. We explore the consequences of a dual-system model: the decision system and confidence system have distinct goals, but share access to a source of noisy and costly information about a decision-relevant variable. The decision system aims to maximize utility while the confidence system monitors the decision system and aims to provide good feedback about the correctness of the decision. In line with existing experimental evidence showing the importance of post-decisional information in confidence formation, we allow the confidence system to accumulate information after the decision. We aim to base the post-decisional stage (used in descriptive models of confidence) in the optimal learning theory. However, we find that it is not always optimal to engage in the second stage, even for a given individual in a given decision environment. In particular, there is scope for post-decisional information acquisition only for relatively fast decisions. Hence, a strict distinction between one-stage and two-stage theories of decision confidence may be misleading because both may manifest themselves under one underlying mechanism in a non-trivial manner.
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Form of preference misalignment linked to state-pooling structure in Bayesian persuasion
Rehák, Rastislav ; Senkov, Maxim
We study a Bayesian persuasion model in which the state space is finite, the sender and the receiver have state-dependent quadratic loss functions, and their disagreement regarding the preferred action is of arbitrary form. This framework enables us to focus on the understudied sender’s trade-off between the informativeness of the signal and the concealment of the state-dependent disagreement about the preferred action. In particular, we study which states are pooled together in the supports of posteriors of the optimal signal. We provide an illustrative graph procedure that takes the form of preference misalignment and outputs potential representations of the state-pooling structure. Our model provides insights into situations in which the sender and the receiver care about two different but connected issues, for example, the interaction of a political advisor who cares about the state of the economy with a politician who cares about the political situation.
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Revealing private information in a patent race
Kocourek, Pavel
In this paper I investigate the role of private information in a patent race. Since firms often do their research in secrecy, the common assumption in patent race literature that firms know each other’s position in the race is questionable. I analyze how the dynamics of the game changes when a firm’s progress is its private information, and I address the question whether revealing it might be to a firm’s advantage. I find that a firm has an incentive to reveal its breakthrough only if its rival has not done so, and only if the research is costly.
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