Equivalences among five game specifications, including a new specification whose nodes are sets of past choices

摘要

The current literature formally links "ORforms" (named afterOsborne 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 Alos-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.