Theoretical Problem 1 (9 parts in total) Consider a country of N individuals. For any i = 1, ..., N, we write a; the corresponding individual's effort. The cost of effort is a. 2 The quality of the collective effort is >, aj. Everyone benefits an amount for each unit of quality. Thus, the expected Lj=1 benefit for any particular individual is N -j=1 ªj. Question 1 First consider the choice of an individual i.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 16E: Counting when Order Does Not Matter This is a continuation of Exercise 15. In many situations, the...
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Question 1b
What level of effort a; does an individual i choose?
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Question 1c
What is the collective effort >, a;?
j=1
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Transcribed Image Text:Question 1b What level of effort a; does an individual i choose? The answer is of the form of a fraction. An example of a fraction is . Please enter a fraction with the key parameters of the model (this may include letters, numbers, and/or symbols). Save Submit You have used 0 of 1 attempt Question 1c What is the collective effort >, a;? j=1 Enter your answer as a simple mathematical expression with the fewest terms possible (this may include letters, numbers and/or symbols). Save Submit You have used 0 of 1 attempt
Theoretical Problem 1 (9 parts in total)
Consider a country of N individuals. For any i = 1, ..., N, we write a; the corresponding individual's effort. The cost of effort
1
is a?.
2
The quality of the collective effort is , aj. Everyone benefits an amount
for each unit of quality. Thus, the expected
N
b
benefit for any particular individual is
N
N
´j=1 aj.
Question 1
First consider the choice of an individual i.
Transcribed Image Text:Theoretical Problem 1 (9 parts in total) Consider a country of N individuals. For any i = 1, ..., N, we write a; the corresponding individual's effort. The cost of effort 1 is a?. 2 The quality of the collective effort is , aj. Everyone benefits an amount for each unit of quality. Thus, the expected N b benefit for any particular individual is N N ´j=1 aj. Question 1 First consider the choice of an individual i.
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