If all individuals’ preferences are complete, reflexive, and transitive, then so should be the social preference created by the voting rule. Question 5Answer True False
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If all individuals’ preferences are complete, reflexive, and transitive, then so should be the social preference created by the voting rule.
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- According to Kenneth Arrow, there are minimum conditions to which a social choice rule (constitution) needs to conform to in order to be ethically acceptable. Explain these conditions. Does majority decisions rule conform to Arrows conditions?Explain the concept of the utility possibility frontier. What is the role of the utilitypossibility frontier in the social welfare maximization problem of a welfarist society?Explain why according to the theory of rational ignorance, an individual will decide not to participate in the election process (vote).
- Explain why majority rule respects the preferencesof the median voter rather than those of the averagevoter.5Consider a society with three people (Atakan, Feyza and Nedim) who is trying to decide how much money to spend on schools. There are three options for spending on schools: H (High), M (Medium) or L (Low). These individuals rank the three options in the following way: Rank Atakan Feyza Nedim 1st Choice M L H 2nd Choice L H M 3rd Choice H M L Question -Would majority voting bring about a decision on how much to spend on schools? Explain why.
- We now focus on one country. Assume that the society is composed of two individuals A and B. The VIA total income available in the society is $550,000. The utility of individual A is given by UA= and individual B ones is given by UA = 0.5/IB. b) What should the income distribution be for the individuals to have the same utility level? c) Find the income distribution that maximizes social welfare in the case of an additive social welfare function. Now imagine that in reality, individual A has an income of $500,000 and individual B's income is $50,000. d) How far from the optimal income distribution defined in question c) are we? What redistri- bution should be chosen to reach the optimal social welfare calculated in c)?model suggests that candidates in a two person political race will move toward matching the preferences of the median voter.Suppose society consists of two individuals, A and B, who must split a fixed income of $150. Individual A's marginal utility of income is given by MUA=400-IA and individual B's marginal utility of income is given by MUB=600-6IB. Suppose the social welfare function is W=UA+UB. What if the social welfare function is, instead, W=min(UA,UB). 44. Then equity in the distribution of income would be synonymous with equality of What if the social welfare function is, instead, W=UA+2.6UB and individual B's marginal utility is, instead, MUB=200-IB. 45. What is the optimal distribution of income to individual A? $ 46. What is the optimal distribution of income to individual B? $ 47. Equity in the distribution of income would be synonymous with equality of
- TRUE OR FALSE Social welfare indifference curves are useful in discussions about the tradeoffs facing society.The most general form of a social welfare function (SWF ) can be written as W = W(U1; ... ; UH). a. Explain the following properties that a SWF may satisfy: non paternalism, Pareto principle, anonymity (the names of the agents do not matter), and concavity (aversion to inequality). b. Consider two agents h = 1; 2 with utilities U1 and U2. Depict the social indifference curve of the utilitarian SWF in (U1; U2)-space. Which of the properties in part a does it satisfy? c. Depict the social indifference curves of the maxim in or Rawlins SWF. Contrast to the utilitarian SWF with respect to the aversion to inequality. Which properties does the Rawlins SWF satisfy? d. The Bernoulli-Nash social welfare function is given by the product of individual utilities. Discuss the distributional properties of the Bernoulli-Nash SWF.How Bergson-Samuelson Social Welfare Function used in a model that considers a society's desire for both Pareto optimality and fairness, Mention all necessary assumptions and specify the conditions that ensure a general equilibrium and social welfare
