Question: Is it possible for a stable matching to have no agent be matched to their first choice? If yes, give an example and explain why

Is it possible for a stable matching to have no agent be matched to their first choice?
If yes, give an example and explain why your example works.
If no, prove why no such matching can exist.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Q:

Corporate Resilience and Response to COVID-19 by Alex Cheema-Fox, Bridget R. LaPerla, and Hul (Stacie) Wang, State Street Associates; and George Serafeim, Harvard Business School he coronavirus...

Q:

3. On stable matchings. Suppose there are four medical residents (ri,T2,T3,T4) and four hospitals (hi, h2, h3, h4) with the preference lists below T4 T3 T1 T2 T2 3 4 2 4 T2 T4 T1 T3 a. Use the...

Q:

Algorithms in Artificial Intelligence (or, the old name: Introduction to Algorithmic Decision Making) Part 1 Based on slides by David Sarne and Lirong Xia Course Tentative Schedule Introduction...

Q:

Fact Find Initial Interview: Time Date Location Referred by: A. Personal Details Applicant 1 Applicant 2 Full Name of Applicant Full Name of Applicant Mr Mrs Miss OMS Dr Mr Mrs Miss OMs Dr Full Name...

Q:

JAVA 3 METHODS STABLE MATCHING - HELPER CLASSES PROVIDED BELOW (Preferences.java & Cost.java) In this problem we will consider a version of the problem for professors and students and their fully...

Q:

JAVA 3 METHODS STABLE MATCHING - HELPER CLASSES PROVIDED BELOW (Preferences.java & Cost.java) In this problem we will consider a version of the problem for professors and students and their fully...

Q:

Al-Driven Contextual Advertising: Toward Relevant Messaging Without Personal Data E. Haglund and J. Bjorklund Department of Computing Science, Umea University, Umed, Sweden ABSTRACT In programmatic...

Q:

Al-Driven Contextual Advertising: Toward Relevant Messaging Without Personal Data E. Haglund and J. Bjorklund Department of Computing Science, Umea University, Umed, Sweden ABSTRACT In programmatic...

Q:

This assignment asks you to implement a solution to the stable matching problem. In our case, we will consider the problem of matching coop employers to coop students. In particular, we consider the...

Q:

Conduct an internet search to find an organization that lists its mission and vision statement on its website. What do the mission and vision statements communicate? How might the organization use...

Q:

Terrell Trucking Company is in the process of setting its target capital structure. The CFO believes that the optimal debt-to-capital ratio is somewhere between 20% and 50%, and her staff has...

Q:

You need a 50% alcohol solution. On hand, you have a 150 mL of a 25% alcohol mixture. You also have 60% alcohol mixture. How much of the 60% mixture will you need to add to obtain the desired...

Q:

5 ) Mahon Corporation fase two production departmens, Casting and Customizing. The company uses a job - order costing system and computes a predetermined pverlicad rate in each production department....

Q:

A random sample of 43 biology students in a science program are selected for a study. Of those selected, only 27 passed the mid term exam. At the 5% significance level, is there sufficient evidence...

Q:

How can performance standards be set for production jobs when job analysis information is insufficient? How would you set performance standards for a software developer if you were the chief software...

Q:

Why are clear job specifications important? What are the costs of imprecise specifications?

Q:

Suppose you work for an organization that does not conduct job analysis. What arguments will you make to introduce it? What method(s) of collecting job analysis information will you recommend and why?