Create & Solve Your Own Two Player Simultaneous$-$Move Game

$(10$ points$)$

Make a normal two$-$player matrix game describing any strategic interaction scenario that you want to model, but ideally choose something that you find interesting from your life, career, or current events, etc... Carefully choose the possible actions and relative payoff values for your game to be realistic and intuitive: you are encouraged to work with simple integers similar to what is used in most of the course materials. Think logically about the relative Sizes of every one of your chosen payoff values for both players and whether each set of actions is "better" or

"worse" for each player compared to the alternative sets of outcomes.

a$)$

b$)$

Solve your game for all possible Nash Equilibria, including both pure and mixed strategies.

Carefully and succinctly explain the logic of your game, including brief discussion about strategic randomization or why there is none.