Forgetfulness Of Purpose • 4

Ashby now invites us to consider a series of games, beginning as follows.

11/3.   Play and outcome.  Let us therefore forget all about regulation and simply suppose that we are watching two players, R and D, who are engaged in a game.  We shall follow the fortunes of R, who is attempting to score an a.  The rules are as follows.  They have before them Table 11/3/1, which can be seen by both:

\begin{array}{cc|ccc}  \multicolumn{5}{c}{\text{Table 11/3/1}} \\[4pt]  & & & R & \\  & & \alpha & \beta & \gamma \\  \hline    & 1 & b & a & c \\  D & 2 & a & c & b \\    & 3 & c & b & a  \end{array}

D must play first, by selecting a number, and thus a particular row.  R, knowing this number, then selects a Greek letter, and thus a particular column.  The italic letter specified by the intersection of the row and column is the outcome.  If it is an a, R wins;  if not, R loses.

I’ll pause the play here and give readers a chance to contemplate strategies.

Reference

  • Ashby, W.R. (1956), An Introduction to Cybernetics, Chapman and Hall, London, UK.  Republished by Methuen and Company, London, UK, 1964.  Online.
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This entry was posted in Anamnesis, Ashby, Cybernetics, Memory, Peirce, Pragmata, Purpose, Systems Theory and tagged , , , , , , , . Bookmark the permalink.

One Response to Forgetfulness Of Purpose • 4

  1. Pingback: Homunculomorphisms • 1 | Inquiry Into Inquiry

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