Compound Simple Games II

Some General Composition Theorems

Lloyd S. Shapley

ResearchPublished 1963

One of a series of studies concerned with solutions for certain types of games of strategy, important because of their use in a variety of conflict situations-economic, political, and military. This Memorandum investigates solutions of the type of compound game formed when the players of a given m-person game are replaced by m committees, each having its own special voting rule or other method of reaching a decision. Relationships are established between the solutions of the compound game, and the solutions of the original game and the m committee games.

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Shapley, Lloyd S., Compound Simple Games II: Some General Composition Theorems. Santa Monica, CA: RAND Corporation, 1963. https://www.rand.org/pubs/research_memoranda/RM3643.html.
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