Consider the two-player strategic form game represented in the following payoff table: N

What are the sub games in the following game? Find all subgame perfect Nash equilibria (SPNE)

O Cell A O Cell C O Cell E O Cell I None of the above

Two rival companies competing in the same market need to decide their plans for future expansion of their stores. The Table below shows the possible outcomes of their mutually interdependent actions (payoffs are profits in £m)     Giga Company Titanic Conglomerate   No Change Refurbishment of existing stores Large Expansion No Change     30, 40      25, 35    15, 24 Refurbishment of existing stores     35, 30      28, 32    18, 33 Large Expansion     12, 22     18, 20    20, 25   The Nash equilibrium:            (A)       does not exist. (B)       occurs when both firms choose Refurbishment of existing stores.              (C)       occurs when both firms choose Large Expansion. (D)       occurs when both firms choose No Change.

A secluded off-ramp on a highway through the Prairie of Prax has two gas stations, the only gas stations for miles, Northgoings and Southgoings. Suppose Northgoings and Southgoings must simultaneously display their prices, choosing between a high price and low price gas. The payoff matrix for this game, showing potential daily profit, is displayed below. Assume both stations know all of the information in the matrix, and that this is a one-time payoff. Northgoings Decisions High Price Low Price N: $500 N: $800 High Price S: $400 S: $50 Southgoings Decisions N: $100 N: $250 Low Price S: $700 S: $200 (a) According to our model of game theory, Northgoings has a dominant strategy to [Select] (b) According to our model of game theory, Southlgoings has a dominant strategy to [ Select] V (c) According to our model of game theory, the competitive outcome, or Nash Equilibrium, Northgoings will earn [ Select] and Southgoings will earn [ Select] (d) On the other hand, if these two companies…

Consider a simultaneous move game with two players. Player 1 has three possible actions (A, B, or C) and Player 2 has two possible actions (D or E.) In the payoff matrix below, each cell contains the payoff for Player 1 followed by the payoff for Player 2. Identify any pure strategy Nash Equilibria in this game. If there are none, state this clearly.

Hello, please help me to solve this Game Theory question. Thanks in advance! Hobby hunter Jack decides what to do the next weekend. He can either stay at home and watch movies (Movies), or call his friend Katherine to go hunting (Hunt). If he stays in, both Jack and Katherine get a payoff of 2. If he decides to hunt, he knows the situation with his friend will resemble a classic stag hunt game with simultaneous moves: Hunting a stag is better than hunting a rabbit, but it only works if they cooperate. The hunting subgame is captured as:     Katherine       Stag Rabbit Jack Stag 3 , 3 0 , 1   Rabbit 1 , 0 1 , 1 Draw the entire game as an extensive form (game tree), capturing both Jack’s initial decision (M or H) and the subsequent hunting game. Make sure to correctly label all players, actions, and information sets.

3) Recently, a major question in the news is why the Afghan army collapsed so quickly and unexpectedly in the face of the Taliban offensive. To help understand the situation, consider the following simplified model of the situation. Assume that there are two Afghan soldiers in the same unit. Each can stay and fight the Taliban or desert. If both stay and fight, they will win any battle against the Taliban, which each values at 100 utility. If either soldier deserts, the Taliban wins, which they each values at 0 utility. In addition, if only one soldier stays, that soldier will be killed by the Taliban, which he values at -1000 utility. In addition, the Taliban is offering a bounty to any soldier that deserts. ne soldier does not care about this, and would not take the bounty, while the other values the bounty at 50 utility. a. Draw the game based on this scenario. b. Find all pure strategy Nash equilibria c. Find the mixed strategy Nash equilibrium d. What does this game and the…