Calculate the expected revenue from a first-price auction
Suppose there are two bidders. Calculate the expected revenue from a first-price auction as a function of the reserve price r for the following distributions defined for x ∈ [0, 1]:
(a) F (x) = x
(b) F (x) = x2
(c) F (x) = √x.
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Problem: Developmental Assessments Cognitive Tests: Assessments like the Wechsler Intelligence Scale for Children (WISC)
Behavioral Checklists and Rating Scales Standardized Rating Scales: Tools like the Child Behavior Checklist (CBCL) or the Conners Rating Scales
Observation Naturalistic Observation: Clinicians observe the child in their natural environment, such as home or school, to understand their behavior in context
Adolescents (13-18 years) Techniques: Open-Ended Questions: Adolescents often respond well to open-ended questions that invite them
Middle Childhood (9-12 years) Techniques: Cognitive Assessments: Clinicians can utilize structured interviews combined with cognitive tests
Developmentally Appropriate Language: Clinicians simplify their language, avoiding jargon, and using short sentences to ensure comprehension.
Observational Techniques: Since infants may not be able to verbally articulate their feelings, clinicians often rely on observation of behaviors,
F (x) = √x.