  In this paper we review our earlier work on quantum computing and the Nash
Equilibrium, in particular, tracing the history of the discovery of new Nash
Equilibria and then reviewing the ways in which quantum computing may be
expected to generate new classes of Nash equilibria. We then extend this work
through a substantive analysis of examples provided by Meyer, Flitney, Iqbal
and Weigert and Cheon and Tsutsui with respect to quantized games, quantum game
strategies and the extension of Nash Equilibrium to solvable games in Hilbert
space. Finally, we review earlier work by Sato, Taiji and Ikegami on non-linear
computation and computational classes by way of reference to coherence,
decoherence and quantum computating systems.
