Games and Decisions: Introduction and Critical Survey by R. Duncan Luce & Howard Raiffa

Games and Decisions: Introduction and Critical Survey by R. Duncan Luce & Howard Raiffa

Author:R. Duncan Luce & Howard Raiffa
Language: eng
Format: epub
Publisher: Dover Publications


The pair [(0, … , 0, 1), ({1}, {2}, … , {n})] is 1-stable since . It is easily seen that for this game b(i) = 3/n, so for n 4,

Thus, the imputation (0, 0, … , 0, 1), which is in a 1-stable pair, is not in B.

Let us apply this concept to the market example described in section 9.4. It is not difficult to show:

As can be seen from our previous discussion of this example, these are not strong limitations. As a special case of the result mentioned above, B includes all imputations in von Neumann-Morgenstern solutions; it also includes all the imputations in any of the ψ-stable pairs.



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