As a game designer I have always been interested in increasing the availability of cohices for the player (while still not overwhealming them). I have discovers several "Tools" and techniques for increaseing them. I am hopeing to get a discussion of what tools others use and various ways that they can bee applied.
So to start:
Game theory: This seems a must for any game design toolbox as it deals with games, however it realy is an economic and political (mathematical description) theory. Still it does have some use in game design. There are many "Games" designed with game theory in mind, but they are usually only to ilustrate a particualr situation. The main use of Game Theory, that I put it to, is to validate (balance) particular descision trees and choices.
Combined Arms theory: This was traditionaly used to analise warfare, but it can be used to analise particular strategic choices and see how they will owrk together. The very basic is that of scissors/paper/rock (and it does have overlap with game theory), and how they relate to one another. I use the concepts behind this to create choices that players can make but have, built into those choices a way for their oponents to exploite (if the player does not develop a counter strategy for the expoite).
Psychology: I'm not talking about medical psychology, but a deeper understanding of the drives behind peoples behaviours. this is useful so that you can understand why a person may make the choices that they do (not all choices are rational and covered by game theory). I used this to try to understand why a player makes the choices they do, and so is a complimentary tool to game theory.
Well this is a start. What tools do you use and how and why do do you use them?
All good. Both theoretical and practical design tools for choices.
Keep them comeing.