The year is 2005 and Sony and Toshiba are considering developing competing technology standards for high definition movies. Sony's standard would be called Blu-Ray and Toshiba's would be HD-DVD. Each company's payoff for a given choice directly depends on the choice the other firm makes. These payoffs are summarized below: Toshiba: HD-DVD No new technology Sony: Blu-ray 100, -100 400, 50 No new technology 50, 400 50, 50 Answer the following questions: a. (4 points) What is/are the Nash equilibrium/equilibria of this game (if any), assuming that both players choose their actions simultaneously and play a one-shot game? b. (4 points) Does any firm have a dominant strategy? If so, who? c. (4 points) Is this game an example of a prisoner's dilemma? Why or why not? d. (6 points) Now suppose that because it had planned to include Blu-ray technology in its game console (the Playstation 3), Sony had already incurred (sunk) $200M of the $300 development cost of its Blu-ray technology by the time the battle with Toshiba began. a. Would this affect the outcome of the game played in part a.? If so, how? i. Explain your answer in 150 words or less and BE SPECIFIC (i.e. a "yes" or "no" answer with an incomplete or wrong explanation will receive zero or very little credit)