Please don't use Ai solution ECON 446 - PROBLEM SET VI1. Consider a marriage problem (M, W, R), where M = {a,b,c,d}, W = {E, F, G, H}, andpreferences R = (Ra, Rb, Re, Rd, RE, RF, RG, RH) are as follows:....Ra F Pa H Pa G Pa E Paa,:Re: HPF PC PG PE,RE: d PE b PE a PEC PE E,RG b PG a PG d PG c PG G,:Rb F PG PH P₁b P₁ E,Rd E Pa F Pa G Pad Pa H,RF d PF a PF b PF F PF C,:RH a PH b PH CPH d PH H.(i) Find the matching μW (R) that is the result of the Gale-Shapley's women proposing DA algo-rithm and show that it is stable.(ii) Find the matching μM (R) that is the result of the Gale-Shapley's men proposing DA algo-rithm and show that it is stable.μ(iii) Consider matching = {(a, H), (b, E), (c, G), (d, F)}. Is individually rational? Is μstable? Is μ Pareto optimal?(iii) Consider matching ' = {(a, G), (b, F), (c, H), (d, E)}. Is ' individually rational? Is μ'stable? Is Pareto optimal?

Explanation of the Answers(i) Women-Proposing Gale-Shapley AlgorithmTo find the matching…

Answered: ECON 446 - PROBLEM SET VI 1. Consider a…

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

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ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Chapter16: Government Regulation

Section: Chapter Questions

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