n this question, we will ask whether an information cascade can occur if each individual sees only the action of his immediate neighbor rather than the actions of all those who have chosen previously. Let's keep the same setup as in the Information Cascades model discussed in the class, except than when individual i chooses he observes only his own signal and the action of individual - 1. 1. Briefly explain why the decision problems faced by individuals 1 and 2 are unchanged by this modification to the information network. 2. Individual 3 observes the action of individual 2, but not the action of individual 1. What can 3 infer about 2's signal from 2's action? 3. Can 3 infer anything about 1's signal from 2's action? Briefly explain. 4. What should 3 do if he observes a high signal and he knows that 2 Accepted? What if 3's signal was low and 2 Accepted? 5. Do you think that a cascade can form in this world? Briefly explain why or why not (a formal proof is not necessary).

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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In this question, we will ask whether an information cascade can occur if each individual sees
only the action of his immediate neighbor rather than the actions of all those who have chosen
previously. Let's keep the same setup as in the Information Cascades model discussed in the class,
except than when individual i chooses he observes only his own signal and the action of individual
i - 1.
1. Briefly explain why the decision problems faced by individuals 1 and 2 are unchanged by
this modification to the information network.
2. Individual 3 observes the action of individual 2, but not the action of individual 1. What can
3 infer about 2's signal from 2's action?
3. Can 3 infer anything about 1's signal from 2's action? Briefly explain.
4. What should 3 do if he observes a high signal and he knows that 2 Accepted? What if 3's
signal was low and 2 Accepted?
5. Do you think that a cascade can form in this world? Briefly explain why or why not (a formal
proof is not necessary).
Transcribed Image Text:In this question, we will ask whether an information cascade can occur if each individual sees only the action of his immediate neighbor rather than the actions of all those who have chosen previously. Let's keep the same setup as in the Information Cascades model discussed in the class, except than when individual i chooses he observes only his own signal and the action of individual i - 1. 1. Briefly explain why the decision problems faced by individuals 1 and 2 are unchanged by this modification to the information network. 2. Individual 3 observes the action of individual 2, but not the action of individual 1. What can 3 infer about 2's signal from 2's action? 3. Can 3 infer anything about 1's signal from 2's action? Briefly explain. 4. What should 3 do if he observes a high signal and he knows that 2 Accepted? What if 3's signal was low and 2 Accepted? 5. Do you think that a cascade can form in this world? Briefly explain why or why not (a formal proof is not necessary).
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