The US Federal System is the voting method for passing a bill into law. It involves 100 members of the Senate, 435 members of the House of Representatives, the vice president, and the president, for a total of 537 voters. For a bill to pass, it must have a majority in the House, a majority in the Senate, with the possibility of the vice president breaking a tie, and the signature of the President; or if the president opposes the bill, it must have a 2/3 super-majority in both the House and Senate to override the veto. Otherwise the bill is defeated. Think of this as a social choice function where the alternatives are A, to pass the bill, or B, to defeat the bill. Does the US federal system satisfy:

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1.10. The US Federal System is the voting method for passing a bill into
law. It involves 100 members of the Senate, 435 members of the House
of Representatives, the vice president, and the president, for a total of
537 voters. For a bill to pass, it must have a majority in the House, a
majority in the Senate, with the possibility of the vice president breaking
a tie, and the signature of the President; or if the president opposes the
bill, it must have a 2/3 super-majority in both the House and Senate to
override the veto. Otherwise the bill is defeated.
Think of this as a social choice function where the alternatives are
A, to pass the bill, or B, to defeat the bill. Does the US federal system
satisfy:
(a) the anonymity criterion?
(b) the neutrality criterion?
(c) the monotonicity criterion?
(d) the decisiveness criterion?
(e) the near decisiveness criterion?

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