Provide an example of a situation where moving first in a sequential move game is a disadvantage rather than an advantage. Why is this the case?
In Sequential move game is a game where one player chooses their action before the other player. Then the later player have some knowledge of the first player's choice. Therfore it is said that in sequential move game moving first is a disadvantage rather than an advantage. Because the move of the first player would help the second player choose his strategy more carefully. Games like chess, backgammon, tic-tac-toe are the example of sequential move game.
For example, Suppose Lenovo and Dell made laptop which have same features, similar cost of production. Now before launching the product into the market Lenovo is waiting for Dell to first launch the product or make the first move. If Dell make the first move Lenovo will then choose that market price for the laptop which will increase demand of their laptop. So that they can earn maximum profit
Provide an example of a situation where moving first in a sequential move game is a...
The first-mover advantage may be observed in: a. A simultaneous move game b. Both sequential and simultaneous-move games c. A sequential game
1. in some sequential move games there is a first-mover advantage; in others there is a second-mover advantage. True False 2. The experimental evidence on the ultimatum game shows that players will sometimes reject offers that give them a positive share of the pie. This behavior is consistent with rational behavior. True False
In a simultaneous move game, both players make their strategy choices at the same time. In a sequential move game, one player chooses his strategy first, and then seeing the move that the first player made, the second player chooses her strategy. Hence, in sequential game player is better informed and will act accordingly, than in simultaneous move game where he faces risk between different strategies.
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?
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 it is possible for LD to be a first-mover in this game. The sequential game tree looks as follows, where payoffs for LD are listed to the left of the comma and payoffs for HC are listed to the right of the comma: (Profit Profit.c) THC (75, 150) DIY DIY WDI (150, 400) LD WDI DIY (300, 120) HC WDI (50, 50) What is the Nash Equilibrium of this sequential game?
2. Consider the following simultaneous move game: Column Left Right Top 1,1 7,3 Row Bottom 3,5 11,0 (a) Find all pure-strategy Nash equilibria (b) Now assume that the game is made sequential with Row moving first. Illustrate this new game using a game tree and find the rollback equilibrium (c) List the strategies of the two players in this sequential-move game and give the normal-form representation of the game (the payoff matrix) (d) Use the payoff matrix to find the...
2. Consider the following simultaneous move game: Column Left Right 1,1 3,5 11,0 Тoр 7,3 Row Bottom (a) Find all pure-strategy Nash equilibria (b) Now assume that the game is made sequential with Row moving first. Illustrate this new game using a game tree and find the rollback equilibrium (c) List the strategies of the two players in this sequential-move game and give the normal-form representation of the game (the payoff matrix) (d) Use the payoff matrix to find the...
2. Consider the following simultaneous move game Column Left Right 1.1 7,3 3.5 Тор Row Bottom 11.0 (a) Find all pure-strategy Nash equilibria. (b) Now assume that the game is made sequential with Row moving first. Illustrate this new game using a game tree and find the rollback equilibrium. (c) List the strategies of the two players in this sequential-move game and give the normal-form representation of the game (the payoff matrix) (d) Use the payoff matrix to find the...
Some Game Theory Problems 3. Find all of the pure strategy Nash Equilibria of the following simultaneous move game. After solving it as a simultaneous move game, write it as a sequential move game with column moving first. Drow the game tree and solve for the Subgame Perfect Nash Equilibrium. Column 9,4 1,10 15,7 15,5 14,8 3,10 12,18 20,12 Row C 7,8 6,8 20,10 3,3 15,9 15,0 14,2 9,1 20,18 2,9 10,14 19,20