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 (stand, stand) and the argument is same as that of Prisoner’s Dilemma discussed in theory.
Find the median of 2, 8, 6, 6, 7, 9, 5, 12 and 13.
87.5% of the voters in State 'P'Â is equivalent to 10/11 of the voters in State 'Q', and 10/11 of the voters in State 'Q' is equal to 93.75% of the vot...
The mean of 12 numbers is 15. When two additional numbers, x and y , are included, the average increases by 1. Given that the difference between x and y...
- Determine the remainder when
The difference between the value of the number increased by 20% and the value of the number decreased by 30% is 120. Find the number.
How many numbers lie between 2000 and 3000 divisible by 5 can be made with the digits 2, 3, 4, 5, 6, 7 and 8 without repeating any digit?
If two numbers add up to 12 and the sum of their cubes is 1728, then what is the product of the two numbers?
If p and q are real numbers such that p2 + (p - 2q - 1)2 = - 4q(p + q), then the value p - 2q is
If the 4-digit number y29z is exactly divisible by 9, what is the least value of (y + z)?
Find the remainder when the number (256n + 105) is divided by 16.
