Values of Large Games - I

A Limit Theorem

Lloyd S. Shapley, Norman Shapiro

ResearchPublished 1960

An examination of the mathematical behavior of existing n-person solution concepts for large games as n becomes very large. The study analyzes what happens in a weighted majority game when a block of votes is broken up and distributed among a large number of players. The value of the game to the other players is shown to converge to a limit as the size of the largest fragment tends to zero. An explicit expression is given for the limit.

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  • Copyright: RAND Corporation
  • Availability: Available
  • Year: 1960
  • Print Format: Paperback
  • Paperback Pages: 24
  • Paperback Price: $20.00
  • Document Number: RM-2648-PR

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RAND Style Manual
Shapley, Lloyd S. and Norman Shapiro, Values of Large Games - I: A Limit Theorem, RAND Corporation, RM-2648-PR, 1960. As of October 8, 2024: https://www.rand.org/pubs/research_memoranda/RM2648.html
Chicago Manual of Style
Shapley, Lloyd S. and Norman Shapiro, Values of Large Games - I: A Limit Theorem. Santa Monica, CA: RAND Corporation, 1960. https://www.rand.org/pubs/research_memoranda/RM2648.html. Also available in print form.
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