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1. Consider games with two players, with each player having two strategies (no mixed strategies allowed). For each of the statements below, answer True or False. (a) There are games with no Nash equilibria. (b There are games in which all outcomes are Nash equilibria. (c) There are games in which all outcomes are strict Nash equilibria. (d) Suppose there is a Nash equilibrium in one such game. Now let one players payoffs everywhere be doubled and the other players payoff everywhere be halved. The strategies that were a Nash equilibrium earlier must still be a Nash equilibrium