Passing a bill into law in the United States requires the signature of the President of the United States, and a simple majority in both the Senate (composed of 100 Senators) and the House of Representatives (composed of 435 members), or alternatively a two-thirds majority in both the Senate and the House of Representatives required to override a presidential veto.
(a) Write down the coalitional function of the corresponding game.
(b) Is this a weighted majority game? If you answer yes, write down the quota and weights of the game. If you answer no, prove that it is not a weighted majority game.