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Fifty people are playing the following game. Each player writes down, on a separate slip of paper, one integer in the set {0, 1,..., 100}, alongside his name. The gamemaster then reads the numbers on each slip of paper, and calculates the average x of all the numbers written by the players.
The winner of the game is the player (or players) who wrote down the number that is closest to 2/3 x. The winners equally divide the prize of $1,000 between them.
Describe this as a strategic-form game, and find all the Nash equilibria of the game. What would be your strategy in this game? Why?
To what extent does game theory helps the society to explain financial markets, Your paper must be targeted topic perfectly and it must include following table of indexes.
What is the accumulated value at t = 30 of a 30 year ordinary annuity that has the first of its annual payments equal to $1000 and subsequent payments increasing by 2% through the 10th payment and equal to $1500 for all the remaining payments? Use..
Write a paper that uses game theory to to set up a game designed to help a consumer decide whether to buy life insurance or not.
The standard deviation of fresh fruit consumption is about 30 pounds. Suppose a researcher took a random sample of 38 people and had them keep a record of the fresh fruit they ate for one year.
What is the Owen value of this game with this coalition structure? Does the union help the small countries, according to the Owen value?
Write a program to check out how good my new random number generator generates numbers. A good generator produces evenly distributed numbers over some range. determine how well these numbers are dispersed between 1 and 100.
Assume zero production cost for both firms. Find the Bertrand equilibrium prices for a simultaneous-move game. Draw the two demand curves in a graph, with price on the vertical axis and demand on the horizontal axis.
Which of these applications are well-suited for the minimalist Internet multicast service model? Why
Write down the payoff table for this game, and find the equilibrium when the two firms move simultaneously. Write down the game tree for this game, with Coke moving first and Pepsi following.
Suppose that in some two-player game, s1 is a rationalizable strategy for player 1. If, in addition, you know that s1 is a best response to s2 , can you conclude that s2 is a rationalizable strategy for player 2? Explain.
Write the Budget Constraint of the ministry as a function of the annual budget m, the km of roads x1, the added tons to the port x2, and the costs p2, b and g.
Figure 10-13 demonstrate the payoff matrix for the only 2-auto dealerships in a community, Jim's Autos and Tim's Autos. The matrix demonstrate the profits that each company would earn from selecting either a low price or a high price.
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