Game Transformations and Game Equivalence
Boudewijn P. de Bruin

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.