Open AccessThe lexicographic composition of abstract games
Author(s) -
Somdeb Lahiri
Publication year - 2002
Publication title -
economic theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.572
H-Index - 58
eISSN - 1432-0479
pISSN - 0938-2259
DOI - 10.1007/pl00004221
Subject(s) - lexicographical order , transitive relation , binary relation , composition (language) , mathematics , mathematical economics , binary number , combinatorics , discrete mathematics , arithmetic , linguistics , philosophy
. The lexicographic composition of reflexive and complete binary relations (which are often called abstract games) is studied. The necessary and sufficient conditions are obtained for a lexicographic composition of quasi transitive relations to be quasi transitive.The case of acyclicity of lexicographic composition of two relations is also investigated.
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