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