|
|
|
|
|
|
|
is the set of feasible or possible plans of the form  appropriate to the problem being investigated. |
|
|
|
|
|
|
|
|
e represents the range of possible environments or, equivalently, the initial uncertainty of the adaptive system about its environment. When the plan t tries a structure at time t, the particular environment confronting the adaptive system signals a response I(t) Î I . The performance or payoff µE( ), given by the function , is generally an important part of the information I(t). Given E ¹ E' for E, , the corresponding functions µE, µE' are generally not identical so that a major part of the uncertainty about the environment is just about how well a structure will perform therein. When a plan employs, or receives, only information about payoff so that it will be called a payoff-only plan. |
|
|
|
|
|
|
|
|
Finally, the various plans in are to be compared over e according to a criterion . Comparisons will often be based on the cumulative payoff functions , where is the expected payoff under (t), and the "target" function . An interim behavior criterion, based on a selected sequence and of the form |
|
|
|
|
|
|
|
|
will be important in the sequel. |
|
|
|
|
|
|
|
|
With the help of this framework each of the fundamental questions about adaptation posed in chapter 1, section 1, can be translated into a formal counterpart: |
|
|
|
| Original | Formal | | To what parts of its environment is the organism (system, organization) adapting? | What is e? | | How does the environment act upon the adapting organism (system, organization) ? | What is I? | | What structures are undergoing adaptation? | What is ? | | What are the mechanisms of adaptation? | What is W? | | What part of the history of its interaction with the environment does the organism (system, organization) retain in addition to that summarized in the structure tested? | What is ? | | What limits are there to the adaptive process? | What is ? | | How are different (hypotheses about) adaptive processes to be compared? | What is ? |
|
|