I would like to know the detailed solution process and the answer to question number 1 a,b. Please explain it.

1. Samsung and Sony have to decide whether they will increase the spending on Research and Development (R&D) Department in order to improve the features of their products which are sold worldwide. If they both increase the spending, the gains of doing so are zero for both. If only one of them increases the R&D budget while the other doesnt, the gain of the improved features is equal to the loss of the other company. If both of them do not change R&D spending, their customers will switch to other brand from the U.S., both will equally make huge losses.

a) Construct the pay-off matrix for the game. Is this a zero-sum game? Why or why not

b) Is there a dominant strategy equilibrium? If so, what is it?