Question
Two people enter a bus. Two adjacent cramped seats are
free. Each person must decide whether to sit or stand. Sitting alone is more comfortable than sitting next to the other person, which is more comfortable than standing. Suppose that each person cares only about her own comfort. Model the situation as a strategic game. Find its Nash equilibrium (equilibria?).Solution
There exist only one pure strategy Nash equilibrium (sit, sit) and the argument is same as that of Prisoner’s Dilemma discussed in theory.
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A man gives 2/5 of his property to his son, 1/8 in charity and 3/7 to his daughter. If he had ₹3250 left, then find the money given by him in charity.
If the mean proportion of 0.54 and 0.24 is 'x', then find the third proportion of (x + 8.64) and (2x + 5.28) .
The ratio of the two numbers is 4:9. 140% of the first number is equal to the 70% of the second number. Find the sum of both the numbers.
Find the mean proportion of 8.4 and 18.9.
Ratio of males to females in village ‘A’ and village ‘B’ is 3:4 and 5:6, respectively and number of females in village ‘B’ is 25% more than ...
