Empire was the first example in which the players competing on separate screens and Empire was created by PLATO networking system.
Chikhani (2015) argues that this was the first game that offered the possibility for players to...
1. NIM game. This is a different version or easier version of NIM game Consider a pile of 5 matchsticks. Two people take turns removing 1 or 2 sticks each time from this pile. Suppose both players play smartly (nobody plays a fool move trying to let the opponent wins. But there is only one winner anyway) a)If the person getting the last stick wins, will the first player win? Why? Show the steps the first and second player will...
Q1. Suppose two players, First and Second, take part in a sequential-move game. First moves first, Second moves second, and each player moves only once. (a). Draw a game tree for a game in which First has two possible actions (Up or Down), and Second has three possible actions (Top, Middle, or Bottom) at each node. Show which nodes are terminal/decision and write down all the (pure) strategies of each player. (b). Draw a game tree for a game in...
Suppose Ted is creating a football team in a video game that features many NFL players. He decides to identify players who are outliers in a few statistics he has chosen. Currently, he's looking at wide receivers. The game includes the top 100 receivers in 2015 by number of receptions. Ted, however, is more interested in receiving yards, and the table shows the five-number summary of the available players in the game (in yards): Minimum Ist quartile (Q1)Median 3rd quartile...
First part: Consider the following two-player game. The players simultaneously and independently announce an integer number between 1 and 100, and each player's payoff is the product of the two numbers announced. (a) Describe the best responses of this game. How many Nash equilibria does the game have? Explain. (b) Now, consider the following variation of the game: first, Player 1 can choose either to "Stop" or "Con- tinue". If she chooses "Stop", then the game ends with the pair...
(a) There are two players in this game - A and B. A moves first and can go either left L or right R. B does not see what A did, and can go either up U or down D. If B went D, A moves again, and can choose 1, c, or r. If B went U then A can move again only if he started with going L in the beginning. In this case A can choose either...
Consider a sequential move game with two players. If the player who moves first has two or more strategies that offer him the same payoff, which one will he choose?
4. Consider the following game that is played T times. First, players move simultaneously and independently. Then each player is informed about the actions taken by the other player in the first play and, given this, they play it again, and so on. The payoff for the whole game is the sum of the payoffs a player obtains in the T plays of the game A 3,1 4,0 0,1 В 1,5 2,2 0,1 C 1,1 0,2 1,2 (a) (10%) Suppose...
Answer the following Nim game style questions. (Robert's Game) In this game, two players take turns removing stones from a pile that begins with n stones. The player who takes the last stone wins. A player removes either one stone or p stones, where p is a prime dividing the number of stones in the pile at the start of the turn For which n does the First Player have a winning strategy? A winning strategy for the First Player...
1. Consider the coupon game. But suppose that instead of decisions being made simultaneously, they are made sequentially, with Firm 1 choosing first, and its choice observed by Firm 2 before Firm 2 makes its choice. a. Draw a game tree representing this game. b. Use backward induction to find the solution. (Remember that your solution should include both firms’ strategies, and that Firm 2’s strategy should be complete!) 2. Two duopolists produce a homogeneous product, and each has a...
Amy and Beth have to bargain about how to divide R250. Amy moves first, making an offer of some portion of the R250 to Beth. Beth then chooses to accept or reject the offered amount. If Beth accepts, the money is divided according to the proposal. If Beth rejects the offer, the amount is reduced by R50, so that there is R200 left, and then Beth gets a turn, making an offer to Amy. If Beth’s offer is accepted, the...