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of the adaptive plan will be formalized by designating a set C0021-03.gif of attainable structures. The fact that different C0021-01.gifin general elicit different performances from a given structure C0021-02.gifmeans formally that there will be a different performance measure µEassociated with each E. Each field of study is typified as much by its performance measures as by its structures and operators. For the fields mentioned in connection with examples of structures and operators, we have a corresponding list of performance measures:

Table 2: Typical Performance Measures
FieldPerformance Measure
GeneticsFitness
Economic planningUtility
ControlError functions
Physiological psychologyPerformance rate (in some contexts, but often unspecified)
Game theoryPayoff
Artificial intelligenceComparative efficiency (if specified at all)

The successive structural modifications dictated by a plan t amount to a sequence or trajectory through the set C0021-03.gif. For the plan to be adaptive the trajectory through C0021-03.gif must depend upon which environment C0021-01.gifis present. Symbolizing the set of operators by W, this last can be stated another way by saying that the order of application of operators from W must depend upon E.
It is clear that the organization of C0021-03.gif, the effects of the operators W upon structures in C0021-03.gif, and the form of the performance measure µEall affect the difficulty of adaptation. Among the specific obstacles confronting an adaptive plan are the following:
3ec098e70743fcb2f9b43be50b94c009.gif
1. C0021-03.gif is large so that there are many alternatives to be tested.
3ec098e70743fcb2f9b43be50b94c009.gif
2. The structures in C0021-03.gif are complicated so that it is difficult to determine which substructures or components (if any) are responsible for good performance.
3ec098e70743fcb2f9b43be50b94c009.gif
3. The performance measure µEis a complicated function with many interdependent parameters (e.g., it has many dimensions and is nonlinear, exhibiting local optima, discontinuities, etc.).

 
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