Equivalences among five game specifications, including a new specification whose nodes are sets of past choices
Peter Streufert ()
International Journal of Game Theory, 2019, vol. 48, issue 1, No 1, 32 pages
Abstract The current literature formally links “OR forms” (named after Osborne and Rubinstein, in A course in game theory. MIT, London, 1994) with “KS forms” (named after Kuhn and Selten by Kline and Luckraz, in Econ Theory Bull 4:85–94, 2016). It also formally links “simple forms” with “AR forms” (the former is less prominent than the latter, and both are from Alós-Ferrer and Ritzberger, in The theory of extensive form games. Springer, Berlin, 2016a). This paper makes three contributions. First, it introduces a fifth game form whose nodes are sets of past choices. Second, it formally links these new “choice-set forms” with OR forms. Third, it formally links KS forms with simple forms. The result is a formal five-way equivalence which provides game theorists with a broad spectrum of alternative game specifications.
Keywords: Game tree; Extensive form game; 91A70 (search for similar items in EconPapers)
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Working Paper: Equivalences Among Five Game Specifications, Including a New Specification Whose Nodes are Sets of Past Choices (2018)
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