# Prove the following modification of Theorem 4.7.4 in which we drop the assumption that A, =A‘ for…

Prove the following modification of Theorem 4.7.4 in which we drop the assumption that A, =A‘ for all s E S. Suppose that

i. A, c A’ for s E S,

ii. A, c A,, for s’ 2 s, and

iii. for each s, a E A, and a’ E a implies a’ E A,, and, for t = 1,. . . , N – 1,

1. r,(s, a) is nondecreasing in s for all a E A,,

2. q,(k(s, a) is nondecreasing in s for all k E S and a E A,,

4. q,(k(s, a) is a superadditive (subadditive) function for all k E S, and

5. rJs) is nondecreasing in s.

Then there exist optimal decision rules d:(s) which are nondecreasing (nonincreasing) in s for I = 1,. , . , N.

## Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
\$26
The price is based on these factors:
Number of pages
Urgency
Basic features
• Free title page and bibliography
• Unlimited revisions
• Plagiarism-free guarantee
• Money-back guarantee
On-demand options
• Writer’s samples
• Part-by-part delivery
• Overnight delivery
• Copies of used sources
Paper format
• 275 words per page
• 12 pt Arial/Times New Roman
• Double line spacing
• Any citation style (APA, MLA, Chicago/Turabian, Harvard)

# Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

### Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

### Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

### Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.