Answer:
13.29 inch
Step-by-step explanation:
Given:
Square game board.
Area of square game board = 175 sq inch
To find:
The side length of the square board game.
Solution:
First of all, we need to know the formula for area of a square.
Let us have a look at the formula for area of a square.
OR
Putting value of area = <em>175 sq in</em> and let us find the value of Side.
Therefore, the answer is:
The appropriate side length of the square game board = <em>13.29 inch</em>
Answer:
1,474,951.
Step-by-step explanation:
Given a population that increases by a constant percentage, we can model the population's growth using the exponential model.
Therefore, the population of the city in 13 years time will be:
The population be at that time will be approximately 1,474,951.
Answer:
a) attached below
b) ( T,T )
c) The Pure-strategy Nash equilibria are : ( N,E ) and ( E,N )
d) The mixed-strategy Nash equilibrium for Firm 1 = ( 1/3 , 0, 2/3 )
while the mixed -strategy Nash equilibrium for Firm 2 = ( 1/3 , 0, 2/3 )
Step-by-step explanation:
A) write down the game in matrix form
let: E = exit at the industry immediately
T = exit at the end of the quarter
N = exit at the end of the next quarter
matrix is attached below
B) weakly dominated strategies is ( T,T )
C) Find the pure-strategy Nash equilibria
The Pure-strategy Nash equilibria are : ( N,E ) and ( E,N )
D ) Find the unique mixed-strategy Nash equilibrium
The mixed-strategy Nash equilibrium for Firm 1 = ( 1/3 , 0, 2/3 )
while the mixed -strategy Nash equilibrium for Firm 2 = ( 1/3 , 0, 2/3 ) since T is weakly dominated then the mixed strategy will be NE
Assume that P is the probability of firm 1 exiting immediately ( E )
and q is the probability of firm 1 staying till next term ( N ) ∴ q = 1 - P.
hence the expected utility of firm 2 choosing E = 0 while the expected utility of choosing N = 4p - 2q .
The expected utilities of E and N to firm 2 =
0 = 4p - 2q = 4p - 2 ( 1-p) = 6p -2 which means : p = 1/3 , q = 2/3
