An analysis of what happens in a weighted majority game when a block of votes is broken up and distributed among a large number of players. It is shown that the value of the game to the other players converges to a limit as the size of the largest fragment tends to zero. An explicit expression is given for the limit.
Shapiro, Norman and Lloyd S. Shapley, Values of Large Games, I: A Limit Theorem. Santa Monica, CA: RAND Corporation, 1977. https://www.rand.org/pubs/papers/P5977.html. Also available in print form.
Shapiro, Norman and Lloyd S. Shapley, Values of Large Games, I: A Limit Theorem, Santa Monica, Calif.: RAND Corporation, P-5977, 1977. As of September 08, 2021: https://www.rand.org/pubs/papers/P5977.html