Bargaining Game:

Consider a two$-$player bargaining game where $$100$ is available to be split between Player $1($Proposer$)$ and Player $2($Responder$).$ The game unfolds as follows:

$1.$ Player $1$ makes an initial offer to divide the $$100.$

$2.$ Player $2$ can either accept or reject the offer:

If Player $2$ accepts, they receive the amount offered by Player $1,$ and Player $1$ keeps the remainder.

If Player $2$ rejects, both players get nothing.

Give me the equilibrium