This content originally appeared on HackerNoon and was authored by Bayesian Inference
:::info Authors:
(1) Shih-Tang Su, University of Michigan, Ann Arbor (shihtang@umich.edu);
(2) Vijay G. Subramanian, University of Michigan, Ann Arbor and (vgsubram@umich.edu);
(3) Grant Schoenebeck, University of Michigan, Ann Arbor (schoeneb@umich.edu).
:::
Table of Links
2.1 Model of Binary-Outcome Experiments in Two-Phase Trials
3 Binary-outcome Experiments in Two-phase Trials and 3.1 Experiments with screenings
3.2 Assumptions and induced strategies
3.3 Constraints given by phase-II experiments
3.4 Persuasion ratio and the optimal signaling structure
3.5 Comparison with classical Bayesian persuasion strategies
4.2 Determined versus sender-designed experiments
4.3 Multi-phase model and classical Bayesian persuasion and References
3.2 Assumptions and induced strategies
Next we detail the optimal signaling strategy in our two-phase trial setting with general binary-outcome experiments. To aid in the presentation and to avoid repetition, we make two assumptions without loss of generality and introduce several explanatory concepts before the analysis.
\ Lemma 2. We can make the following two assumptions WLOG.
\
\ The sender’s strategy consists of the following: choice of phase-I experiment parameters (p1, p2) and the persuasion strategies in phase-II for each outcome of the phase-I experiment. To understand better the choices available to the sender and her reasoning in determining her best strategy, we will study the possible persuasion strategies in phase-II; these will be called induced strategies to distinguish them from the entire strategy. Given the assumptions above on phase-II experiments, it’ll turn out we can directly rule out one class of induced strategies from the sender’s consideration. The other set of induced strategies will need careful assessment that we present next.
\
\
\
:::info This paper is available on arxiv under CC 4.0 license.
:::
[3] In terms of the Blackwell informativeness from [6].
This content originally appeared on HackerNoon and was authored by Bayesian Inference
Bayesian Inference | Sciencx (2024-11-10T19:32:09+00:00) Bayesian Persuasion in Sequential Trials: Assumptions and induced strategies. Retrieved from https://www.scien.cx/2024/11/10/bayesian-persuasion-in-sequential-trials-assumptions-and-induced-strategies/
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