the Back-off mechanism in TCP which
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter18: Deterministic Dynamic Programming
Section18.4: Resource-allocation Problems
Problem 3P
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Question
Computer science
![2.2
Refer to the Back-off mechanism in TCP which we used as a simple example to illustrate
interaction between two players in non-cooperative Game Theory. Let the Table below illustrate
the Payoff to two players A and B, under conditions that they follow the mechanism (termed C)
and deliberately bypass the mechanism (D). Note that the first element of the tuple in each cell
of the table denotes payoff to A, the other to B, and each of a, b, c & d are positive numbers.
Under what conditions will player A always decide to play option D and player B always C?
Player A
options
a)
b)
c)
d)
C.
D
Player B→
options
(c<a AND d<b) AND
(c<a OR
d<b) AND
a+d=b+c
none of the above.
C
-a, -a
-C, C
AND
(a<b
(a<b OR
c<d)
c<d)
.D
-b, -b
-d, -d](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2fe58e14-f4bd-4164-a49c-f5fb56792a26%2F875c4aa3-f97e-4bcd-b0fc-23a73bba3f8a%2F29b3o5k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2.2
Refer to the Back-off mechanism in TCP which we used as a simple example to illustrate
interaction between two players in non-cooperative Game Theory. Let the Table below illustrate
the Payoff to two players A and B, under conditions that they follow the mechanism (termed C)
and deliberately bypass the mechanism (D). Note that the first element of the tuple in each cell
of the table denotes payoff to A, the other to B, and each of a, b, c & d are positive numbers.
Under what conditions will player A always decide to play option D and player B always C?
Player A
options
a)
b)
c)
d)
C.
D
Player B→
options
(c<a AND d<b) AND
(c<a OR
d<b) AND
a+d=b+c
none of the above.
C
-a, -a
-C, C
AND
(a<b
(a<b OR
c<d)
c<d)
.D
-b, -b
-d, -d
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