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Notes and Communications “A DECISION THEORY EXAMPLE IN FOOTBALL”: A COMMENT *
Author(s) -
Stoughton Neal M.
Publication year - 1986
Publication title -
decision sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.238
H-Index - 108
eISSN - 1540-5915
pISSN - 0011-7315
DOI - 10.1111/j.1540-5915.1986.tb00235.x
Subject(s) - stochastic dominance , tying , mathematical economics , consistency (knowledge bases) , expected utility hypothesis , computer science , decision theory , von neumann–morgenstern utility theorem , dominance (genetics) , game theory , von neumann architecture , football , operations research , mathematics , mathematical optimization , economics , artificial intelligence , microeconomics , biochemistry , chemistry , political science , law , gene , operating system
Janssen and Daniel analyzed the choice between a one‐ or a two‐point conversion for a particular game situation in college football. Their decision criteria was maximum expected utility based on a von Neumann‐Morgenstern utility function defined over the games outcomes. An alternative approach based on a stochastic dominance criterion is presented that does not rely on knowledge of the relative importance of tying vs. winning; rather, it relies on a notion of consistency in the sequential problem.