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- All players have dominant strategies. true or falseIf a strategy profile is a Nash equilibrium, there is at least one player that could achieve higher payoffs by deviating.(a) True. (b) False.in every Nash equilibrium, the strategy of every player is a best response to the strategies chosen by the other players. (a) True. (b) False.
- A strategy that a player will pursue regardless of any other player's decision is called _________. Question 10 options: game theory. collusion. prisoner's dilemma. dominant strategy.Consider the attached payoff matrix:a. Does Player A have a dominant strategy? Explain why or why not.b. Does Player B have a dominant strategy? Explain why or why not.Stock market investment is not a zero-sum game. True False
- Consider the following payoff matrix that is below : A. Does Player A have a dominant startegy? Explain why or why not b. Does player B have a dominant strategy? Explain why or why not. Player B Strategy 1 2 Player A Strategy 1 $2,000 \ $1,000 -$1,000 \ -$2,000 2 -$2,000 \ -$1,000 $1,000 \ $2,000parameter x = 5 List all pure strategies for either player that are weakly dominated.In a dominant strategy equilibrium: Group of answer choices The players adopt strategies that maximise the joint payoffs to all players in the game Each player adopts a strategy that maximises the payoffs to all of the other players in the game Players adopt strategies that minimise the payoffs of their rivals Every player plays their dominant strategy None of the above
- find all Nash equilibria in this game using von Neumann-Morgenstern preferences:Two gas stations, A and B, are locked in a price war. Each player has the option of raising its price (R) or continuing to charge the low price (C). They will choose strategies simultaneously. If both choose C, they will both suffer a loss of $100. If one chooses R and the other chooses C, (i) the one that chooses R loses many of its customers and earns $0, and (ii) the one that chooses C wins many new customers and earns $1000. If they both choose R, the price war ends and they each earn $500. Does player b have a dominant strategy? Explain. What course of action will player A and B choose?Two gas stations, A and B, are locked in a price war. Each player has the option of raising its price (R) or continuing to charge the low price (C). They will choose strategies simultaneously. If both choose C, they will both suffer a loss of $100. If one chooses R and the other chooses C, (i) the one that chooses R loses many of its customers and earns $0, and (ii) the one that chooses C wins many new customers and earns $1000. If they both choose R, the price war ends and they each earn $500. Draw the payoff matrix for this game. What is the optimal strategy? Does player A have a dominant strategy? Explain. Does player B have a dominant strategy? Explain How many Nash equilibria does this game have ? what course of action will player A & B choose?