Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. gale-shapley: prove or dissprove the following the

Gale-Shapley: Prove or dissprove the following theorem In every execution of the hospitals-propose Stable Matching algorithm, there...

50.1K

Verified Solution

Question

Basic Math

Gale-Shapley: Prove or dissprove the following theorem

In every execution of the hospitals-propose Stable Matchingalgorithm, there is at most one hospital that makes offers to everydoctor.

If anyone can help me with a long-form proof or an example thatdissproves this claim!

Answer & Explanation Solved by verified expert
4.5 Ratings (833 Votes)
Let the hospitals do the selecting let H represent the hospitals and S represent the students each h in H need to fill slots the number of slots can vary but the total combined number of slots includes every hospital is less than the total number of students each student s is free until he or she has accepted at least temporarily an offer from a hospital then    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Finance
1.2K views

In the new environment, which two of Porter's five forces are critical to New York Times? Analyze...

Biology
1.2K views

List the 10 essential Public Health Services.

Physics
1.2K views

5 An inductor L a capacitor C and ammeters A A2 and A3 are connected...

Physics
1.2K views

If a particular resistor is using 336W because 5 9A is flowing through it then...

Geometry
1.2K views

Graph f z log z 3 below First locate the ver graph 6 333 Asa...

Basic Math
1.2K views

The function f is defined as follows.(a) Find the domain of the function.(b) Locate any...

Statistics
1.2K views

Profit x 10 000 50 4000 3000 2000 1000 0 10000 From this information we...

Accounting
1.2K views

help fill out chart and find MSE time series. \{aosnd rour...

Accounting
1.2K views

Last year, Eta Company produced 20,000 units and sold 18,000 units at a price of...

Accounting
1.2K views

The half-year convention for tangible personal property results in the recovery of the total cost...

Finance
1.2K views

If you instead want to use a money market hedge your exposure, what steps would...

Accounting
1.2K views

Lee Tanaka spent 225 hours in the tax year marketing garden tools by a partnership...