4. Consider the following strategic environment involving a firm manager (Manager) and two workers (Worker 1 and Worker 2). The sequence of moves is as follows. In Stage 1, the Manager decides the shares of the total revenues allocated to Worker 1 and Worker 2 (each worker receives the same share of revenues). Two possible sharing rules can be chosen by the Manager: Low Sharing Rule (L, a low percentage of revenues shared with each worker) and High Sharing Rule (H, a high percentage of the revenues share with each worker).

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
1
4. Consider the following strategic environment involving a firm manager (Manager) and two
workers (Worker 1 and Worker 2).
The sequence of moves is as follows.
In Stage 1, the Manager decides the shares of the total revenues allocated to Worker 1 and
Worker 2 (each worker receives the same share of revenues). Two possible sharing rules
can be chosen by the Manager: Low Sharing Rule (L, a low percentage of revenues shared
with each worker) and High Sharing Rule (H, a high percentage of the revenues share with
each worker).
In Stage 2 (the Effort Stage), after observing the sharing rule chosen by the Manager,
Worker 1 and Worker 2 simultaneously decide whether to "Work Hard" or to "Shirk."
The following two matrices represent the Effort Stage when the Low Sharing Rule (L) is
chosen by the Manager and when the High Sharing Rule (H) is chosen by the Manager. The
payoffs in brackets correspond to the Manager.
Low Sharing Rule (L)
High Sharing Rule (H)
Work Hard
Shirk
Work Hard
Shirk
Work
31, 31
2, 40
Work
82, 82
32, 70
Hard
[206]
[120]
Hard
[104]
[60]
Shirk
40, 2
20, 20
Shirk
70, 32
35, 35
(120]
(60]
[60]
(30]
Represent this strategic envitonment in an extensive form.
a.
b.
Characterize the S.P.N.E. of the game using the Generalized Backward Induction
procedure. Make any necessary assumptions to achieve a unique S.P.N.E Explain your
results.
Transcribed Image Text:4. Consider the following strategic environment involving a firm manager (Manager) and two workers (Worker 1 and Worker 2). The sequence of moves is as follows. In Stage 1, the Manager decides the shares of the total revenues allocated to Worker 1 and Worker 2 (each worker receives the same share of revenues). Two possible sharing rules can be chosen by the Manager: Low Sharing Rule (L, a low percentage of revenues shared with each worker) and High Sharing Rule (H, a high percentage of the revenues share with each worker). In Stage 2 (the Effort Stage), after observing the sharing rule chosen by the Manager, Worker 1 and Worker 2 simultaneously decide whether to "Work Hard" or to "Shirk." The following two matrices represent the Effort Stage when the Low Sharing Rule (L) is chosen by the Manager and when the High Sharing Rule (H) is chosen by the Manager. The payoffs in brackets correspond to the Manager. Low Sharing Rule (L) High Sharing Rule (H) Work Hard Shirk Work Hard Shirk Work 31, 31 2, 40 Work 82, 82 32, 70 Hard [206] [120] Hard [104] [60] Shirk 40, 2 20, 20 Shirk 70, 32 35, 35 (120] (60] [60] (30] Represent this strategic envitonment in an extensive form. a. b. Characterize the S.P.N.E. of the game using the Generalized Backward Induction procedure. Make any necessary assumptions to achieve a unique S.P.N.E Explain your results.
Expert Solution
steps

Step by step

Solved in 4 steps with 6 images

Blurred answer
Knowledge Booster
Nash Equilibrium
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
Economics
ISBN:
9780190931919
Author:
NEWNAN
Publisher:
Oxford University Press
Principles of Economics (12th Edition)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (MindTap Course List)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: A Problem Solving Approach
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-…
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education