Hello, I have some questions regarding the game theory.

I am still confused by the concept. Could you please explain a little bit of the right answers of the two questions below for me? Thank you so much!

Question 1)

In the pay-off matrix below, which one has the dominant strategy? Which answer should I choose?

Thing One and Thing Two are organizing different house-wrecking activities. Payoffs of the simultaneous-move, one-shot game are provided in the table below. Which of the following is an accurate characterization of the game? THING TWO Ruin Pictures Break Fishbowl Fly Kites 6,4 1, 7 THING ONE Tip Vases 5,2 5,8 Dirty Dresses 4,5 2,4 Thing One's Payoffs first; Thing Two's Payoffs Second Q Thing One has a dominant strategy; Thing Two has a dominant strategy O Thing One does not have a dominant strategy; Thing Two does not have a dominant strategy O Thing One does not have a dominant strategy; Thing Two has a dominant strategy O Thing One has a dominant strategy; Thing Two does not have a dominant strategyWhich of the following pairs of strategies constitute the Nash equilibrium of this simultaneous move one-shot game? THING TWO Ruin Pictures Break Fishbowl Fly Kites 6,4 1, 7 THING ONE Tip Vases 5,2 5,8 Dirty Dresses 4,5 2, 4 Thing One's Payoffs first; Thing Two's Payoffs Second O (Fly Kites, Ruin Pictures) O (Fly Kites, Break Fishbowl) O (Tip Vases, Ruin Pictures) O (Tip Vases, Break Fishbowl) (Dirty Dresses, Ruin Pictures) O (Dirty Dresses, Break Fishbowl)