I'll work through this systematically, comparing the 3rd letter of birth country vs. death country for Nobel laureates.

Let me identify some examples:

1. **Albert Einstein** - Born: Germany (R), Died: USA (A) - R > A, doesn't qualify

2. **Enrico Fermi** - Born: Italy (A), Died: USA (A) - equal, doesn't qualify

3. **Marie Curie** - Born: Poland (L), Died: France (A) - L > A, doesn't qualify

4. **Willy Brandt** - Born: Germany (R), Died: Germany (R) - equal, doesn't qualify

5. **T.S. Eliot** - Born: USA (A), Died: United Kingdom (I) - A < I ✓

6. **Henry Kissinger** - Born: Germany (R), Died: USA (A) - R > A, doesn't qualify

7. **Kazuo Ishiguro** - Born: Japan (P), Died: United Kingdom (I) - P > I, doesn't qualify

8. **Saul Bellow** - Born: Canada (N), Died: USA (A) - N > A, doesn't qualify

9. **John Steinbeck** - Born: USA (A), Died: USA (A) - equal, doesn't qualify

10. **Alexis Carrel** - Born: France (A), Died: France (A) - equal, doesn't qualify

**Winners who qualify (3rd letter of birth country < 3rd letter of death country):**

1. **T.S. Eliot** (Literature 1948) - USA (A) → United Kingdom (I)
2. **Ilya Prigogine** (Chemistry 1977) - Russia (S) → Belgium (L)... S > L, no
3. **Max Theiler** (Medicine 1951) - South Africa (U) → USA (A)... U > A, no
4. **Sydney Brenner** (Medicine 2002) - South Africa (U) → United Kingdom (I)... U > I, no
5. **J.M. Coetzee** (Literature 2003) - South Africa (U) → Australia (S)... U > S, no
6. **Bob Dylan** - Born: USA (A), Still alive

**Confirmed examples:**

1. **T.S. Eliot** - USA (A) < United Kingdom (I) ✓
2. **Czesław Miłosz** - Poland (L) → USA (A) - L > A, no
3. **Isaac Bashevis Singer** - Poland (L) → USA (A) - no

This is a challenging constraint. **T.S. Eliot** is a clear example: US**A** → United K**i**ngdom (A < I alphabetically).
