What does a payoff matrix illustrate? OA tit-for-tat strategy in repeated games. The possible outcomes of various strategies in game theory. The most efficient production level in noncooperative games. The optimal profit maximization strategy in Nash equilibrium.
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- In game theory, a "payoff matrix" is a table that shows the following, except Multiple Choice the profits to each firm or player that would result from various strategy combinations. the target payoffs that each firm or player is aiming for in their different strategies. the interdependence of the firms’ or players’ profits, based on their alternative actions. the alternative results that the firms or players would get, based on their actions and those of others.Use the following payoff matrix to answer the following questions Suppose this is a one-shot game: a. Determine the dominant strategy for each player. If such strategies do not exist, explain why not. b. Determine the secure strategy for each player. If such strategies do not exist, explain why not. c. Determine the Nash equilibrium of this game. If such an equilibrium does not exist, explain why not.Under which of the following game theory circumstances is a collusive outcome most likely? Prisoner's dilemma Repeated games Games with dominant-strategy outcomes Games with Nash equilibrium
- Consider the three-player game shown. Player 1 selects a row, either a1, b1 or c1. Player 2 selects a column, either a2 or b2. Player 3 selects a matrix, either a3 or b3. The first number in a cell is player 1’s payoff, the second number is player 2’s payoff, and the last number is player 3’s payoff. Derive the strategies that survive the IDSDS.Select the term that best describes each definition listed in the following table. Definition Nash Equilibrium Dominant Strategy Collusion Tit-for-tat Strategy Payoff Matrix Prisoners' Dilemma Game A case in which individually rational behavior leads to a jointly inefficient outcome A player's best choice, if it exists, regardless of his or her opponent's strategy A strategy in which a player cooperates until the other player defects and then defects until the other player cooperates again The event that occurs when agents in a game form an agreement about which strategies to implementUsing a payoff matrix to determine the equilibrium outcome Suppose there are only two firms that sell smart phones, Flashfone and Pictech. The following payoff matrix shows the profit (in millions of dollars) each company will earn, depending on whether it sets a high or low price for its phones. Pictech Pricing High Low Flashfone Pricing High 11, 11 2, 18 Low 18, 2 10, 10 For example, the lower, left cell shows that if Flashfone prices low and Pictech prices high, Flashfone will earn a profit of $18 million and Pictech will earn a profit of $2 million. Assume this is a simultaneous game and that Flashfone and Pictech are both profit-maximizing firms. If Flashfone prices high, Pictech will make more profit if it chooses a ______ price, and if Flashfone prices low, Pictech will make more profit if it chooses a _____ price. If Pictech prices high, Flashfone will make more profit if it chooses a _____ price, and if Pictech prices low, Flashfone will make more…
- A Nash Equilibrium is the equilibrium of a game in which; Both players get the largest payoff amount Both players get the best payoff independent of what the other players choices are Both player, with the knowledge of what the other players possible moves are, do not have incentive to deviate from their strategy There is incomplete information of the game and each player makes the move that is best for them and their payoff outcomeConsider the following statements about the concept of subgame perfect Nash equilibrium (SPNE): (I) This concept only applies to finite games, not infinitely repeated games. (II) Some dynamic games might have a SPNE that is not a Nash Equilibrium. (III) The concept of SPNE rules out situations where a player would be acting against their own interest in some subgames. Group of answer choices a. Only I is correct. b. All options are incorrect. c. Only II is correct d. Only III is correct e. More than one option is correctSelect the term that best describes each definition listed in the following table. Definition Nash Equilibrium Dominant Strategy Collusion Tit-for-tat Strategy Payoff Matrix Prisoners' Dilemma Game A player's best choice, if it exists, regardless of his or her opponent's strategy A strategy in which a player cooperates until the other player defects and then defects until the other player cooperates again A set of strategies (one for each player) in which each player's strategy is the best option for that player, given the chosen strategy of the player's opponents A visual representation of a game showing all possible strategies for each player and all potential outcomes and payoffs
- Construct a game-theory matrix involving two firms and their decisions on high versus low advertising budgets and the effects of each on profits. Show a circumstance in which both firms select high advertising budgets even though both would be more profitable with low advertising budgets. Why won’t they unilaterally cut their advertising budgets?Which of the following best describes Nash equilibrium? a) A situation where one player dominates the others b) A situation where each player's strategy is optimal given the strategies of the others c) A situation where all players cooperate perfectly d) A situation where players change strategies constantlyCooperative Games - Game Theory