From: John Conover <>
Subject: References
Date: Thu, 4 Aug 1994 02:07:32 -0700 (PDT)

Attached pls. find references to previous email on game theory.

For a light, informal presentation, I would recommend ``Archimedes'
Revenge,'' by Paul Hoffman, Fawcett Crest, New York, New York, 1993,
ISBN 0-449-21750-7, 213-262, Section IV, entitled ``One Man, One
Vote,'' Chapter 12, entitled ``Is Democracy Mathematically Unsound.''

For an informal presentation on the historical perspective of the
subject, I would recommend ``History of Mathematical Programming,''
edited by J.K. Lenstra and A. H. G. Rinnooy Kan and A. Schrijver, CWI,
Amsterdam, Holland, 1991, ISBN 0-444-888187, 1-4, entitled ``The
Origins of the Impossibility Theorem,'' by Kenneth J. Arrow. Professor
Arrow, now of Stanford University, was awarded the Nobel Prize in
Economics for formalizing the concept in 1952-the theory is the
so-called Impossibility Theorem-while working at RAND Corporation
under contract to the DOD.

For a formal presentation of the subject, I would recommend, ``Games
and Decisions,'' by R. Duncan Luce and Howard Raiffa, John Wiley &
Sons, New York, New York, 1957, 327-370, Chapter 14, entitled ``Group
Decision Making,'' also written while the authors were at RAND
Corporation under sponsorship of the DOD.  The presentation view is
from the formal game theoretic perspective, and is a guaranteed cure
for insomnia.

All three references are available at Computer Literacy.



John Conover,,

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