need help solving this please

4. (24 points) Consider the following coalitional game. There are four players who own a PS5 gaming system and ve who do not. The players who own a PS5 value having it at 1, 2, 4, and 6 gold pieces (gp), respectively. The players who do not have a PS5 value having a PS5 at l, 2, 3, 5, and 6 gp, respectively. Having additional PS5s beyond one brings no additional value to a player. All players begin with 10 gp. An action of a coalition consists of reallocating the gp and PS5s belonging to members of the coalition among the members of the coalition. (a) Is this game cohesive? (b) Does this game have transferable payoff? (c) What actions are in the core of this game? Make sure to completely describe the characteristics that such an action would have and show why these characteristics are necessary to be in the core