Word Count : 1106

---

Alright, let's go step by step. --- ## 1. Write down the payoff matrix The matrix from the table is: \[ \begin{bmatrix} 4 & 3 & 5 & 1 \\ 4 & 5 & 3 & 5 \\ 5 & 3 & 5 & 1 \\ 1 & 5 & 1 & 9 \end{bmatrix} \] Row player = Player A Column player = Player B Entry = payoff to Player A (row player). We’ll solve using dominance (assuming zero-sum). --- ## 2. Check for row dominance (for Player A) - Compare \( A_1 \) and \( A_3 \): \( A_1 = (4,3,5,1) \) \( A_3 = (5,3,5,1) \) Check \( A_3 \) vs \( A_1 \): \( 5 > 4 \), \( 3 = 3 \), \( 5 = 5 \), \( 1 = 1 \) → \( A_3 \) is better than or equal in every column and strictly better in col B₁. So \( A_1 \) is dominated by \( A_3 \) (from Player A's perspective — but wait, A wants to maximize, so if another row gives ≥ in all entries with > in at least one, then the worse row can be eliminated). Actually: For row dominance (Player A choosing rows): A row \( r_1 \) dominates row \( r_2 \) if every entry of \( r_1 \ge \) corresponding entry of \( r_2 \) and > in at least one. Check \( A_3 \) vs \( A_1 \): (5,3,5,1) vs (4,3,5,1) → yes, first element bigger, rest same → \( A_1 \) dominated. Remove \( A_1 \). --- Matrix now: \[ \begin{bmatrix} 4 & 5 & 3 & 5 \\ 5 ____ _________ _______ ___ ______ _________ _______ _______ ________.
________ ________ ________ _____ _____ ___ __________ ________ ____.
__________ ______ ____ ___ ______ ___ _____ _____ ______ ____ ______ ___.
_____ __________ __________ __________ ________ ___ _________ _______.
_____ _______ _____ ________ ____ _________.
__________ ______ ______ __________ _________ _________.
_________ _____ ____ ____ __________ __________.
______ _____ _________ _______ ___ _____ ________ _____ __________.
_____ _________ _____ _________ ___.
___ _____ _________ _________ __________ ________ ______ ______ _______ ____ ____ ______.
___ __________ ___ ___ ______ _____ ____ _________ _______ _________ _________ _________.
_____ _______ ___ ______ _________ _____ _____ __________ _____ _______.
______ ____ ___ __________ ___ ________ _____ ___ _______ _________.
_______ __________ _________ _______ ____ _____ _____ _________ ____ ______.
____ ____ ______ ___ ______ _________ ___ _____ _____ _________.
_______ _____ ________ ______ ______ ____ _______.
_______ ____ _____ _____ ______ ____ ___ _____.
_______ ______ ___ _______ ___ _____.
______ ______ __________ __________ ________ ______ ___.
____ _________ ________ ___ _______ _______ ______ ______ ______ _____ ________ _________.
____ ____ ________ ___ ___ ____ ____ ___ ___ ____.
____ __________ ________ ________ _____.
_________ __________ ____ ________ __________ ___ __________ ____ ___ _______ ____.
_________ ______ _______ _____ _____ ____ ______.
__________ ___ ___ ____ ______.
______ _______ ______ ________ ______.
_____ __________ _______ ______ ____ _________ __________ ________ _______ __________ _________.
___ ____ ____ ___ __________ __________ ____ ________.
______ ____ ________ ___ ________.
___ __________ _______ ____ __________ ___ ______.
__________ ___ ____ _______ ______ ___.
_____ _______ ______ _______ ___ __________ _________ ________ ______ _________.
__________ _________ __________ _________ ______ _____ ______ _______ _________ _________ ________ ________.
_______ _______ ___ _____ ___ ________ ________ ___ _______.
____ ______ _____ __________ _________ ________ ______.
___ ________ ________ _________ _________ ____ ______.
________ ______ __________ ___ __________ _____.
____ _________ _______ ______ _________ ______ _________ ______ ____.
________ ________ ______ _______ ___ _________ _________ ___.
_____ ____ ____ _________ ___ __________.
__________ _________ ______ _______ _____ _____ _________.
_______ ___ _______ _______ ____ __________ __________ _________ ____ ______.
_____ ____ _____ _________ ________ _______ _______ ______ _________ ______ _______ ______.
______ _____ ______ ______ ______ ___.
_____ __________ __________ _________ ____ __________ ___ ___ ________.
________ _________ _____ ______ ________ ___ ________ _______ _________ _____ ________ ___.
__________ __________ ______ ________ _____ __________ _______ _____ _______.
_________ _______ _____ _________ ___ ____ ________.
______ ______ ____ __________ ________ __________ _______.
______ _________ ________ ____ _____ ________ ___.
____ ___ _______ ___ ________ ____.
_____ _________ ____ __________ __________ _______ _____ ________ ____ _________.
_____ ______ __________ ______ _______ ___ _______ ________ _______.
_______ ___ ________ ________ ________.
_______ _______ _________ ________ ____ ____ __________.
__________ _____ _______ ________ _____ _________.
____ ___ _________ ________ ____ ___ ______.
____ ___ _________ ___ ______ __________ _________ __________ ___ ___ __________ _____.
_______ ____ ______ ___ ___ _______ _____.
_____ ______ _________ ________ ________ ___.
___ ________ ________ ________ __________ ______ _____.
________ _______ __________ _________ ___ __________ ______ _________ ___ ______ _________.
_______ ________ ____ _______ ___ ________ _________ _______ ___ _________ __________.
_____ _________ ___ ______ _____.
_____ ________ _________ ____ ______.
_______ _____ ____ ____ _____ ______ ____ ___ ________ __________.
_____ _________ ________ ___ ________ __________.
_________ _______ ______ ________ ____.
________ _______ ___ _______ ________ _________.
________ ________ ______ _______ ______ __________ _______ ____ _______ _______ _______.
_______ ___ ___ _____ _________.
__________ _______ _____ __________ _________ ______ ____ ________ __________ ________ _______ _________.
_______ _________ ______ _________ _____ _________ __________ ________ ________.
__________ ________ ______ ______ _________ ________ ________ ___ _________ __________ ___.
__________ __________ ________ _________ _______ __________.
____ _________ _____ _______ _______ ______.
_________ ____ ____ __________ _____ ______ ___.
_________ ____ _____ ______ ______ ______ _________.
_______ ______ __________ _____ _______ __________ ____ ______ ___.
___ ________ _________ ____ _____ ______.
________ _______ __________ __________ ____ _________ _________ _________ ________.
____ ________ ________ ___ _________ _____ ______ ___ _________ _______.
____ ________ __________ _______ _________ _________ _______ _______ ________.
___ ____ ________ _____ _____ _________ _______ __________ _______ _______ ______.
_____ ___ __________ ________ ____ _______.
_________ _____ ____ _____ ___.
______ __________ _________ ___ _____ ___ ________ _______.
______ ____ _________ _____ ______ _________.
_________ _________ _______ ____ ___.
____ ______ ________ __________ ______ _________ _________ _______.
_____ ___ ________ ____ ___ __________ ___ _________ __________ _________ ____.
________ ___ __________ _________ ______.
____ ______ ________ ___ ___ __________ ___ _______ _____ __________ __________ _________.
________ ____ ________ ______ __________.
___ __________ _______ _________ ___ _____ ________ _________ ______ _________ ___ ________.
_________ _______ _____ ________ ________ _______.
_______ ___ __________ ________ ______ ______ ___ _____ ___.
_________ ___ __________ ______ _____ ____ _______ ________ ______ _____.
_____ ___ _____ ________ __________ _____ _______ ___ ______ ______.
______ ______ _________ ____ _____.
____ __________ ___ _______ _____ ________ _______ __________.
___ _________ _________ __________ ________.
_______ __________ ____ _________ ____.
_____ _________ ______ ____ _______ _________.
Get Full Answer on WhatsApp