a. A strategy is weakly dominant if ,regardless of what any other players do, the strategy earns a payer a playoff at least as high as any other strategy and the strategy earns a strictly higher payoff or some profile of other player' strategies
b. The iterative elimination of strongly dominated strategies [IESDS] are mixed equilibrium solution concepts are studied in an interated two-person investment game with discrete strategy spaces ,non-recoverable investments , and either equal or unequal investment.
Q3 Guess 5/6 of the Average Game A hundred players are participating in this game (N-100)....
A hundred players are participating in this game (N = 100). Each player has to choose an integer between 1 and 100 in order to guess “5/6 of the average of the responses given by all players”. Each player who guesses the integer closest to the 5/6 of the average of all the responses, wins. (a) Find all weakly dominated strategies (if any). (b) Find all strategies that survive the Iterative Elimination of Dominated Strategies (IEDS) (if any). No additional...
Some notes:
A hundred players are participating in this game (N 100). Each player has to choose an integer between 1 and 100 in order to guess "5/6 of the average of the responses given by all players". Each player who guesses the integer closest to the 5/6 of the average of all the responses, wins (a) Q4 Find all weakly dominated strategies (if any). (b) Find all strategies that survive the Iterative Elimination of Dominated Strategies (IEDS) (if any)...
Iterated
Iterated elimination of dominated strategies:
Eliminate all strictly (weakly) dominated strategies for all
players in the original game.
Eliminate all strictly (weakly) dominated strategies for all
players in the modified game where players cannot choose any
strategy that was eliminated at Step 1.
3 Eliminate all strictly (weakly) dominated strategies for all
players in the modified game where players cannot choose any
strategy that was eliminated at Steps 1 and 2.
4 ...
and so on until there are...
3. On the first day of class we played the beauty contest in which n players submitted a number in the interval [0, 10 and the player closest to won (with ties broke by randomization). Here š denotes the average strategy played 3 (a) What strategies survive iterative deletion of strictly dominated strategies? (b) What are the Nash equiliburia of the game?
4. (a) (10%) A player has three information sets in the game tree. He has four choices in his first information set, four in his second and three in his third. How many strategies does he have in the strategic form? Circle one: (i) 11, (ii) 28 (iii) 48 (iv) 18. (b) (10%) Is it true that the following game is a Prisoners' Dilemma? Explain which features of a Prisoners' Dilemma hold and which do not. (Remember each player must...
7. Consider the following two player game, with the players being 1 and 2. As usual 1 chooses a row and 2 a column. ABC a 1,4 2,1 3,2 4,1 b 2,3 3,4 4,3 1,2 с 3,1 4,2 1,4 2,3 d 4,2 1,3 4,3 3,2 (a) Which strategies satisfy iterated elimination of strictly dominated strategies? How many levels of knowledge of rationality do you have to assume to obtain your result? (b) If you were allowed to follow the same...
Dominance: Ten players simultaneously and noncooperatively each pick a real number in [0,1]. Let their choices be X1, X2, ....X10. Let X be the average of all the x's. The game proceeds as follows. Everyone picks their value x. Then the average X is calculated. Whichever of the players guesses closest to 2/3 the value of X wins $1 and all other players get nothing. If there is a tie, then they flip coins for a single winner. Can this...
Can someone upload a picture of the code in
matlab
Write a "Guess My Number Game" program. The program generates a random integer in a specified range, and the user (the player) has to guess the number. The program allows the use to play as many times as he/she would like; at the conclusion of each game, the program asks whether the player wants to play again The basic algorithm is: 1. The program starts by printing instructions on the...
python code for guessing game users enter the number the computer
will guess
8:38 PM 100 nstructure.com 1. Number guessing game : (5 points) 1) Requirements: Your program will ask the user to enter a number between 1 and 1000. Then it will try to guess the correct number with the guaranteed minimal average number of guesses. Which search algorithm should you use? 2) Expected Output: Enter a number between 1 and 1000? 784 Computer guesses: 500 Type 'l' if...
Currently, the game allows players to play as many times as they wish. It does not provide any feedback on how the players are doing, however. Modify the game so that it keeps track of the number of games played as well as the average number of guesses made per game. To implement this change, add the following list of global variables to the beginning of the script’s Main Script Logic section. Assign each variable an initial value of zero....