X-1999-01: Game Transformations and Game Equivalence

X-1999-01: de Bruin, Boudewijn P. (1999) Game Transformations and Game Equivalence. [Report]

[thumbnail of Full Text] Text (Full Text)

Download (131kB)
[thumbnail of Abstract] Text (Abstract)

Download (656B)


In 1952, Thompson defined four transformations on extensive games, and
proved that they leave the reduced normal form intact (a so-called
"adequacy" theorem). Kohlberg and Mertens, in 1986, proposed two
additional game transformations. In this paper, I will state and prove
adequacy results for all six transformations in a uniform manner. Then,
a number of well-known solution concepts will be surveyed. Finally, I
will examine the (in)variance of the solution concepts under the game
transformations, so as to determine whether they induced a plausible
notion of game equivalence.

Item Type: Report
Report Nr: X-1999-01
Series Name: Technical Notes (X) Series
Year: 1999
Date Deposited: 12 Oct 2016 14:37
Last Modified: 12 Oct 2016 14:37
URI: https://eprints.illc.uva.nl/id/eprint/639

Actions (login required)

View Item View Item