Is this a game of perfect or imperfect information

Assignment Help Management Theories

Reference no: EM131246530

Tic-Tac-Toe: The extensive-form representation of a game can be cumbersome even for very simple games. Consider the game of tic-tac-toe, in which two players mark "X" or "O" in a 3 × 3 matrix. Player 1 moves first, then player 2, and so on. If a player gets three of his kind in a row, column, or one of the diagonals then he wins, and otherwise it is a tie. For this question assume that even after a winner is declared, the players must completely fill the matrix before the game ends.

a. Is this a game of perfect or imperfect information? Why?

b. How many information sets does player 2 have after player 1's first move?

c. How many information sets does player 1 have after each of player 2's moves for the first time?

d. How many information sets does each player have in total? (Hint: For this and part (e) you may want to use a spreadsheet program like Excel.)

e. How many terminal nodes does the game have?

Reference no: EM131246530

Questions Cloud

Stringent requirements on the safety and hygiene standard : Singapore maintains very stringent requirements on the safety and hygiene standard of imported food from all over the world. Food which do not meet the safety requirements or are suspected of imposing risks to consumers are not allowed to enter th..

Prepare journal entries for the transactions : Prepare journal entries for the transactions listed above and the adjusting entries - Prepare an adjusted trial balance at January 31, 2017

Difference between international and transnational crimes : Some of the most notable contributions of Chinese law were the philosophical contributions of Confucius. Select three of his sayings (relative to a moral code/legal code) and discuss these in terms of normative behavior and the deterrence of crimi..

How many terminal nodes does the game have : Imagine that the payoffs following choice A by player 1 are (2, 0), those following C by player 2 are (3, 1), those following E by player 1 are (0, 0), and those following F by player 1 are (1, 2). What are the Nash equilibria of this game? Does o..

Is this a game of perfect or imperfect information : How many information sets does each player have in total? (Hint: For this and part (e) you may want to use a spreadsheet program like Excel.)

Marginal product derived from the last dollar : What should a firm do if the marginal product obtained from the last dollar spent on capital is greater than the marginal product derived from the last dollar spent on labor and why?

Golden rule steady state be preferred to the initial steady : The initial steady state level of capital per worker in Macroland is 5. The Golden Rule level of capital per worker in Macroland is 8. What must change in Macroland to achieve the Golden Rule steady state? Why might the Golden Rule steady state be pr..

Exactly two crates show signs of spoilage : A shipment of 100 fruit crates has 11 crates in which the fruit shows signs of spoilage. A quality control inspection selects 8 crates at random, opens these selected crates, and then counts the number (out of 8) in which the fruit show signs of spoi..

How many outcomes can be supported in equilibrium : Now imagine that at the last stage at which player 2 moves, if he chooses to share then the pot is equally split among the players. Does your answer to part (d) change?

User Account

All Pages