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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: 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)
Date: 2019
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DOI: 10.1007/s00182-018-0652-8

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