Committee proposals and restrictive rules

I analyze a game-theoretic model of committee-legislature interaction in wh ich a majority decision to adopt either an open or closed amendment rule oc curs following the committee's proposal of a bill. I find that, in equilibr ium, the closed rule is almost always chosen when the dimension of the poli cy space is >1. Furthermore, the difference between the equilibrium outcome and that which would have occurred under the open rule can be arbitrarily small.