Nim with one or two dynamic restrictions

Two classes of new games are investigated. Nim with Pointer Restriction is introduced by putting a pointer restriction on Nim, this pointer designates the pile that the next move must be made from. Nim with Pointer and Modular Restrictions is defined by putting simultaneously a pointer restriction and a modular restriction on Nim, the pointer designates the pile that the next move must be made from, the modular restriction designates the number of tokens that next move can remove from the designated pile.The games defined above are of the form 'comply/constrain' or 'Muller twist'. The sets of all P -positions of these games are given by explicit formulae for any m � 1 piles.