turkish version below;

In an environment where there are 5 men and 5 women, men are shown with 1,2,3,4,5, while women are shown with a,b,c,d,e. The preferences of each man over women and the preferences of each woman over men (T) are shown in the figure below. For example, male 1 likes female a the most. Secondly, the woman he likes the most is b, the third is the woman he likes the most, and the woman he likes the most is lady c. represents loneliness, and the 1 st man prefers to mate with a woman over loneliness. Similarly, Mrs. a's preferences over men are 3,2,1,5, and 4 , in order from the most likes to the least likes. i) In the light of this information given, what kind of a match occurs according to the Gale and Shapley deferred acceptance algorithm in a situation where men propose to women? (In other words, which man should match which woman?) ii) In a situation where women ask men out, Gale and Shapley are deferred. How does a match arise according to the deferred acceptance algorithm? iii) Consider a pairing in which the 1,2,3,..4.. and 5 th male are paired with ladies d,e,a,b, and c respectively: M=(1d,2e,3a,4b,5c). In this match, which male and female couple prefer each other to their match and leave their matched persons? A) 1. male and female e B) 2. male and female b C) 3. male and female b D) 4. male and female e E) 3. male and female d. When you explain and complete the game theory well, I will hit the like button immediately, thank you!!! 2) (Eleme Teorisi (Matching Theory 5 tane erkegin ve 5 tane bayanm bulunduu bir ortamda, erkekler 1,2,3,4,5 ile gsterilirken bayanlar a,b,e,d,e ile gsterilmektedir. Her erkein bayanlar wazerine tercihleri ve herbir bayann da erkekler zerine tercihleri (Ti) aadaki ekilde gsterilmitir. rnek olarak 1. erkek en fazla bayan a 'dan holanmaktadr. kinci olarak en ok holand bayan b, 3. en fazla holand bayan d,4. en fazla holand bayan ise bayan c'dir. 0 yalnzahg temsil etmekte olup 1. erkek bir bayanla elemeyi yalnzha tercih etmektedir. Benzer sekilde bayan a nun da erkekler zerine tercihleri en fazla holandndan en az holandma kadar sral olarak 3, 2, 1, 5, ve 4'tr. i) Verilen bu bilgiler altnda erkeklerin bayanlara kma teklif ettii bir durunda Gale ve Shapley ertelenmi kabul (deferred acceptance) algoritmasma gre nasil bir eleme doar? (Dier bir ifade ile hangi erkek hangi bayanla elemelidir?) ii) Bayanlarm erkeklere ikma teklif ettii bir durumda Gale ve Shapley ertelenmi kabul (deferred acceptance) algoritmasma gre nasal bir eeme doar? iii) 1,2,3.4., ve 5. erkein sarassyla d,e,a,b, ve c bayanlar ile eletii bir eleme ele alalm: M=(1d,2e,3a,4b,5c). Bu elemede hangi erkek ve bayan ifti birbilerini eletikleri kiilere tercih edip eletikleri kiileri terk ederler? A) 1. erkek ve bayan e B) 2. erkek ve bayan b In an environment where there are 5 men and 5 women, men are shown with 1,2,3,4,5, while women are shown with a,b,c,d,e. The preferences of each man over women and the preferences of each woman over men (T) are shown in the figure below. For example, male 1 likes female a the most. Secondly, the woman he likes the most is b, the third is the woman he likes the most, and the woman he likes the most is lady c. represents loneliness, and the 1 st man prefers to mate with a woman over loneliness. Similarly, Mrs. a's preferences over men are 3,2,1,5, and 4 , in order from the most likes to the least likes. i) In the light of this information given, what kind of a match occurs according to the Gale and Shapley deferred acceptance algorithm in a situation where men propose to women? (In other words, which man should match which woman?) ii) In a situation where women ask men out, Gale and Shapley are deferred. How does a match arise according to the deferred acceptance algorithm? iii) Consider a pairing in which the 1,2,3,..4.. and 5 th male are paired with ladies d,e,a,b, and c respectively: M=(1d,2e,3a,4b,5c). In this match, which male and female couple prefer each other to their match and leave their matched persons? A) 1. male and female e B) 2. male and female b C) 3. male and female b D) 4. male and female e E) 3. male and female d. When you explain and complete the game theory well, I will hit the like button immediately, thank you!!! 2) (Eleme Teorisi (Matching Theory 5 tane erkegin ve 5 tane bayanm bulunduu bir ortamda, erkekler 1,2,3,4,5 ile gsterilirken bayanlar a,b,e,d,e ile gsterilmektedir. Her erkein bayanlar wazerine tercihleri ve herbir bayann da erkekler zerine tercihleri (Ti) aadaki ekilde gsterilmitir. rnek olarak 1. erkek en fazla bayan a 'dan holanmaktadr. kinci olarak en ok holand bayan b, 3. en fazla holand bayan d,4. en fazla holand bayan ise bayan c'dir. 0 yalnzahg temsil etmekte olup 1. erkek bir bayanla elemeyi yalnzha tercih etmektedir. Benzer sekilde bayan a nun da erkekler zerine tercihleri en fazla holandndan en az holandma kadar sral olarak 3, 2, 1, 5, ve 4'tr. i) Verilen bu bilgiler altnda erkeklerin bayanlara kma teklif ettii bir durunda Gale ve Shapley ertelenmi kabul (deferred acceptance) algoritmasma gre nasil bir eleme doar? (Dier bir ifade ile hangi erkek hangi bayanla elemelidir?) ii) Bayanlarm erkeklere ikma teklif ettii bir durumda Gale ve Shapley ertelenmi kabul (deferred acceptance) algoritmasma gre nasal bir eeme doar? iii) 1,2,3.4., ve 5. erkein sarassyla d,e,a,b, ve c bayanlar ile eletii bir eleme ele alalm: M=(1d,2e,3a,4b,5c). Bu elemede hangi erkek ve bayan ifti birbilerini eletikleri kiilere tercih edip eletikleri kiileri terk ederler? A) 1. erkek ve bayan e B) 2. erkek ve bayan b