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courses:cs211:winter2018:journals:donohuem:chapter1 [2018/01/16 19:40] donohuemcourses:cs211:winter2018:journals:donohuem:chapter1 [2018/01/19 03:48] (current) admin
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-===== Chapter 1.1 =====+====== Chapter 1 ====== 
 +===== Section 1.1 A First Problem: Stable Matching  ===== 
 Section 1.1 begins with an introduction of the **Stable Matching Problem**. The motivation behind this problem is to create a **self-enforcing** matching process, where the self interests of two given parties prevent matched pairs from being retracted and redirected. The authors explain this problem through the context of applicants seeking summer internships with certain employers. Given E employers and A applicants, as well as a list of preferences for each party, the goal of the problems is that either: Section 1.1 begins with an introduction of the **Stable Matching Problem**. The motivation behind this problem is to create a **self-enforcing** matching process, where the self interests of two given parties prevent matched pairs from being retracted and redirected. The authors explain this problem through the context of applicants seeking summer internships with certain employers. Given E employers and A applicants, as well as a list of preferences for each party, the goal of the problems is that either:
   * E prefers every one of its accepted applicants A; or   * E prefers every one of its accepted applicants A; or
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                w rejects m                w rejects m
  
-Some observations of this algorithm are that womans' partners increase (in terms of their preferences) over time, and that mens' partners decrease over time. Additionally, once a woman has been matched, she can no longer be unmatched, whereas a man can. The runtime of the algorithm is n^2.+Some observations of this algorithm are that womans' partners increase (in terms of their preferences) over time, and that mens' partners decrease over time. Additionally, once a woman has been matched, she can no longer be unmatched, whereas a man can. The runtime of the algorithm is n^2. The readability of this section is 7/10.
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