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Games of Status
Author(s) -
Quint Thomas,
Shubik Martin
Publication year - 2001
Publication title -
journal of public economic theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.809
H-Index - 32
eISSN - 1467-9779
pISSN - 1097-3923
DOI - 10.1111/1097-3923.00073
Subject(s) - core (optical fiber) , rank (graph theory) , authoritarianism , transferable utility , hierarchy , mathematical economics , class (philosophy) , value (mathematics) , economics , microeconomics , game theory , computer science , political science , law , mathematics , democracy , politics , combinatorics , market economy , telecommunications , artificial intelligence , machine learning
A status game is a cooperative game in which the outcomes are rank orderings of the players. They are a good model for certain situations in which players care about how their “status” compares with that of other players. We present several formal models within this class. Included are authoritarian status games (where coalitions may assign positions in the rank ordering to nonmembers) and oligarchic status games (where they are unableto do so). We consider the issues of a value concept for authoritarian games and that of core existence for oligarchic games. We then add a transferable resource to the models, obtaining “games of wealth and status.” Finally, we consider an interesting variant, called a “secession game,” where coalitions have the right to secede from the grand coalition and form their own smaller “subsocieties,” each with its own hierarchy.