Problem
Players are getting ready for the FIFA world cup. Two cloth brands are thinking to sponsor the jesrsey for team Croatia and Maldova: Alleson Athletic and Boxercraft. The Croatia's and Moldova's team managers has asked their players to choose the one among the two. Let us now assume the intrinsic superiority of Alleson Athletic is not as great, and that network effects are stronger for Boxercraft. These modifications are reflected in different payoffs.
Now, the payoff from wearing Boxercraft is 100b and from wearing Alleson Athletic is 15 + 5a; n number of soccer players are The Banshees of Inisherin Row Player Alex Alex simultaneously deciding between Alleson Athletic and Boxercraft. Hint: Lecture 8 (Operating System game).
1) Find all Nash Equilibria.
2) Let us now assume that a third option exists, which is to wear brand Augusta; it has a payoff of 200. Players simultaneously decide among Alleson Athletic, Boxercraft, and Augusta. Find all Nash equilibria.