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On The Geometrical Representation of Allocations and Matrix Games
Author(s) -
Farebrother Richard William
Publication year - 2001
Publication title -
the manchester school
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.361
H-Index - 42
eISSN - 1467-9957
pISSN - 1463-6786
DOI - 10.1111/1467-9957.00259
Subject(s) - representation (politics) , mathematical economics , matrix (chemical analysis) , invariant (physics) , politics , matrix representation , economics , microeconomics , computer science , mathematics , political science , law , physics , group (periodic table) , materials science , quantum mechanics , composite material , mathematical physics
We describe the geometrical representation of allocations of quantities of goods, votes or probabilities between two or more persons, parties or strategies. We are particularly concerned with the representation of the time‐varying allocation of votes between three political parties and with the time‐invariant allocation of probabilities between the three strategies available to one of the participants in some matrix games.