Operations 1

ISYE 675

Student Name

Institution Affiliation

Due Date

Question one

David, Emily and Frank

Policies are A, B, C

Majority any poli …

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Operations 1

ISYE 675

Student Name

Institution Affiliation

Due Date

Question one

David, Emily and Frank

Policies are A, B, C

Majority any policy that its implemented

Therefore, from three David, Emily and Frank any of the two must select for any policies so that

itgets implemented

If the voters split 1-1-1 the quo â€“A â€“retained

David preference. A to B to C

Emily preference. B to C to A

Frank preference. C to A tB

Part (a)

Non â€“co-operative game game

It is said to be aconflict interpret game whose gain of one impact lose of another. Self-interpret

itgiven priority there are three set

(a). Set of players

(b). Strategy set of players

(c). Pay-off functions

As the note split in 1-1-1 for the self-interpret and no majority is seen taken place, their shows

the model of non-cooperative game

Part b

A B C

David

Emily

Frank

1, 1

2, (3)

(3), 2

1, 2

2, 1

(3), (3)

1, (3)

2, 2

(3), 1

Pure strategy Nash equilibrium

={3, 3}

The highest of all (Self interpret)

Question 2

Question 3

Part (a)

b)

Number of pure strategies employed by player 1: 3

Number of pure strategies available to player 2:4

Question 4

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