Determine whether it is a social choice function

Reference no: EM131333746

Ron and Veronica need to choose a name for their newborn daughter. After giving the matter much thought, they have narrowed the list of possible names to four: Abigail, Iris, Irene, and Olga. They now must choose one name from this list. Each parent ranks the four names in order of preference. Given each of the following decision rules, determine whether it is a social choice function.

If yes, determine whether it is monotonic, and whether it is manipulable. Justify your answers. (If a rule is monotonic, provide a direct proof that it satisfies the property of monotonicity. If a rule is manipulable, provide an example showing how it may be manipulated.)

(a) If both parents select a name as being the most preferred, that name is chosen. Otherwise, if there is only one name that both parents rank within their top two most-preferred names, that name is chosen. Otherwise, Abigail is the chosen name.

(b) If both parents select a name as being the most preferred, that name is chosen. Otherwise, if there is only one name that both parents rank within their top two most-preferred names, that name is chosen. Otherwise, the parents toss a coin to determine the name of their daughter, with Iris chosen if the coin shows heads, and Olga chosen if the coin shows tails.

(d) As a first step, the name that each parent ranks last by preference is removed from the list under consideration. This leaves two or three names in contention. In the next step, the name that each parent ranks last by preference from among the two or three remaining names is removed from the list under consideration. This leaves zero, one, or two names. If two names remain, the process of removing the name that each parent least prefers from the list under consideration is repeated again. If only one name remains, that name is chosen. Otherwise, Olga is chosen as the child's name.

Reference no: EM131333746

Questions Cloud

Prove that every woman in w1 dismisses at least one man : From here to the end of the exercise, assume that W1 = W2. Prove that every woman in W1 dismisses at least one man under the men's courtship algorithm.

Hollow cavity within the blastocyst : 1) Uterine contractions that are irregular and brief that occur toward the end of gestation are called ________. 2) The hollow cavity within the blastocyst is the ________.

How theories and concepts can be applied to real-world : The findings from criminal justice research help us to understand how theories and concepts can be applied to real-world phenomena. One way to make such applications is to review research which explores one or more key concepts discussed in this u..

Explain loss contingencies as they apply to your company : Identify and explain gain contingencies as they apply to your company. Identify and explain loss contingencies as they apply to your company.

Determine whether it is a social choice function : Each parent ranks the four names in order of preference. Given each of the following decision rules, determine whether it is a social choice function.

Differences between populations large : Jerry Coyne proposes a question. At what point are the differences between populations large enough to make us call them different species? please answer question and defend answer.

Review the case of edward theodore gein : Review the case of Edward Theodore (Ed) Gein, American Psycho, on page 81 and find another source of Eric W. Hickey's "Serial Murderers and their Victims" and write a 300-500 word essay discussing the case study

Implement a version of the current pattern : Implement a version of the current pattern searching algorithm that counts the number of times a given pattern occurs in a text. Your implementation should accommodate the fact that the search pattern may have repeating subsegments.

Is the social choice function described above dictatorial : Is the social choice function described above dictatorial? Justify your answer.- Is the social choice function described above monotonic? Justify your answer.

User Account

All Pages