Sen’s Theorem: Overview and Analysis

Sen’s Theorem: Overview and Analysis Table of Contents (Jump to) 1. Introduction 2. A Review of Sen’s Theorem 3. The Rise of New Interpretation 4. Merits of the New Interpretation 5. Conclusion References 1. Introduction The Sen’s theorem has an important impact on the decision and social choice theory. In the Nobel Prize lecture of 1998, Sen said that discovering the societal decision rules will be the main objective of the choice theory. However, Sen found it is difficult to achieve this objective in his paper of â€Å"Impossibility of a Paretian Liberal† (Sen, 1970a, b, 1976c). Sen’s theorem states that it is impossible to achieve the minimal aspect of liberalism when it is combined with the Pareto condition. According to the theorem of Sen, it seems that there is a fundamental conflict between the Pareto welfare concepts and the liberalism. After this argument, there is a pooling of studies that focus on the individual rights and there are also studies that find new interpretation for the theorem of Sen. According to Saari and his collaborators, the cyclic decision outcomes established by Sens theorem describe a transitional, dysfunctional state of society. This essay will mainly explain how this interpretation arises and discuss its merits relative to the original interpretation offered by Sen. The essay will be structured as follow: in the second session, the essay will briefly introduce the Sen’s Theorem regarding to the conflicting results between Pareto Optimal and Liberalism. Examples will also be used to better illustrate the choice decisions. In the third session, the essay will how and why there will be new interpretations of the theorem of Sen. Particularly, the essay will base its argument on the research results of Saari and his collaborators. In the fourth session, the essay will discuss the merits of the new interpretation compared with the interpretation by Sen himself. In the last session, a brief conclusion will be made based on the analysis in the previous se ssion. 2. A Review of Sen’s Theorem The Sens impossibility of a paretian libertarian theorem or Sens paradox Paratian liberal states that weak Pareto criterion and liberalism may have conflicts on the fundamental level, which indicated that the Pareto criterion is flawed. On one hand, it shows that the Pareto criteria only consider aspects of difference in efficiency among relevant states while ignoring the individual utility conflicts arising because of these states. On the other hand, the theorem also shows the in addition to considering some reasonable internal conditions, one also needs to consider issues such as liberalism for social order decision making. According to Sen, there are some choices that are purely of personal nature, such as the state (x) means everything else in the society as ÃŽ ©, when A is sleeping supine, state (y) means everything else in society as ÃŽ ©, when A is sleeping prostrate. If A has a preference of y than x, while many others in the society prefer the opposite, then it can be consid ered that social choice between x and y is a purely personal thing, because A is the only a real person that is related to the choice while other people are just nosy person. It can also be considered that one can choose one such a collective choice rule where As preference should be accurately reflected by social preferences in this purely personal nature choices (Sen, 1970). Based on this point, Sen emphasizes that people should pay attention to the study of individual rights and other issues affecting the social choice order and decision making. The new welfare economics and welfare economics research before the new welfare economics are consciously or unconsciously avoid these problems. Sen (1970) found that the Pareto criterion is incompatible with liberalism. Pareto optimality is used by the economists and other social scientists to measure the efficiency of society, which is also the the most common and widespread, even the only indicator. It refers to such a state that we are good as it gets, no one can make an additional welfare without compromising the welfare of others. And the principles of individual freedom are the relentless pursuit of mankind, both of which are on the intuition that people can fully accept and understand. However, Sens theorem shows that these two attractive standards are contradictory and cannot be simultaneously true. 3. The Rise of New Interpretation There are three assumptions that Sen’s theorem is based on and the realistic of these assumptions will be one reason why there will be new interpretations for the Sen’s theorem. First, the essay will briefly introduce the assumptions related to the Sen’s theorem. An unrestricted area principle; The Pareto principle; The minimum principles of liberalism (ML), which states society should give at least two people the right to choose between at least a pair of social status. If one thinks that A better than B, then society should not interfere and should agree with the preference. With Sens words, if you want sleeping supine and did not want to sleep prostrate, the society should agree with it. However, Sen also prove that for two or more people in the society, there exist no social choice functions that simultaneously satisfy these above three conditions because there will be the similar results of cyclical Condorcet voting paradox revealed by Arrow Impossibility Theorem when Pareto optimal is in combination with a minimum principle of liberalism. Sen’s theorem on freedom of the Pareto impossibility can be accurately described as: there does not exist the collective decision rule that meets the following conditions. The first condition is a sort of rational conditions. The sort is reflexive, relevance, and the preference relation is not circulating. Reflexive means for any choice x has xRx, which indicates that any choice is at least as good as its own. Relevance means for any two options, there must be xRy or yRx or both. The second condition is weak Pareto criterion. For any choice of x and y, if everyone i think xPiy, then the society also thinks that xPy. The third condition is the minimal liberalism. In this condition, there are two non-empty, disjoint subsets L1 and L2, two different options for the (a, b) and (c, d), if everyone in L1 considers a is better than b, then the society also thinks that a is better than b; if everyone in L1 thinks that b is better than a, then b is also better than a for the society. Similarly, if everyone in L2 believes that c is better than d, then the society also thinks that c is better than d; if everyone in L2 thinks d is better than c, then the society t hinks also that d is better than c. The two groups were decisive on the choice between the two groups. Anyone is free to do what he likes to do, which means there are some choices that are entirely personal, personal preferences should not be affected by some other people. How to walk out of Sens paradox? Mueller has proposed two solutions in the â€Å"public choice theory . One is to let the Pareto principle in some cases to comply with the right to liberalism. The other is through Pareto transactions. As Mueller noted, the matrix is similar to game theory, for example a state in the famous prisoners dilemma, and the Pareto inferior results are due to the independent exercise of each person in his own right, regardless of the damage to others such externalities. The results of Sen’s theorem are established mainly through examples. There are no rigorous proofs on the results why there will be inconsistency of minimal liberalism and Pareto conditions. The results are basically based on the assumption that there are conflicts between the Pareto Conditions and the Minimal Liberalism. There are questions keep asking whether the assumption is true and what if the cyclic societal rankings are not due to these conditions? In fact, in 1998 and 2001, Saari argues that the real reason of the seminal result of Sen’s theorem is not related to the nature of the Pareto condition and the Minimal Liberalism. The reason is that Pareto conditions and Minimal Liberalism needs the societal rankings to be made over pairs, which dismiss the transitivity of individual preferences. Therefore, it is not the conflicts between societal need and individual rights that undermine the assumption of individual rationality; it is the concentration of pairs that leads to the ignorance of individual rationality. And Saari also made geometric proof on this argument, which provides a new interpretation for the Sen’s theorem. 4. Merits of the New Interpretation There are several advantages of the new interpretation compared to the one that Sen present in the original version. First of all, the theorem carried out by Saari and his collaborates are proved using geometric proof, instead of using only examples and assumptions to derive the final results. In addition, the new interpretation can explain all the examples used by Sen in his prior papers and the new interpretation also supports Sen’s own interpretation that the three conditions in Sen’s theorem force the decisions to be made by ignoring the individual rationality. The new interpretation also thinks that the decision rule also wants to meet the demand in the cyclic preference (Saari 2001; Saari and Petron, 2004). Secondly, the geometric proof of the new interpretations has identified all possible profiles that support any examples of Sen’s model. In addition, Saari and his collaborates have also significantly expanded on earlier observations by providing a new statistical interpretation for Sen’s Theorem. And they also conclude that the cyclic decision outcomes established by Sens theorem describe a transitional, dysfunctional state of society. Thirdly, the new interpretation has pointed a new direction for the movements of individual rights. Compared with the interpretation by Sen, the new interpretation focus more on the intensity minimal liberalism, which will leads to social decision procedures without cyclic outcomes and at the same time satisfy weak Pareto conditions. They pointed out the deeper reason of the ignorance of individual rationality instead of concluding that the reason is because of the inconsistency of the Pareto condition and the Minimal Liberalism. 5. Conclusion As discussed in the previous session, the Sen’s theorem provides a good direction for the research of individual rights. And there are many researchers working on the topic to find new interpretation for the seminal results of Sen’s theory. Saari and his collaborates find that Minimal Liberalism makes some of the information in the society irrelevant. However, depending on that information, individual preferences may or may not be transitive. Therefore, they conclude that Minimal Liberalism makes transitivity information irrelevant and this happens for any possible example of Sen’s cycles. They find a way to solve this problem and the response to this is to modify Minimal Liberalism in a way that is sensitive to transitivity information. They use the Intensity Minimal Liberalism (IML), which is a decisive that agent can impose his preferences only when the choice does not create a strong negative externality for some other agent. And they finally find that there are social decision procedures without cyclic outcomes that satisfy weak Pareto and IML, which provides a new interpretation for the Sen’s theorem. The new interpretation finds a more appropriate way to proof Sen’s theorem and expends Sen’s theorem in several aspects. References Li, I. and D.G. Saari 2008. ‘Sen’s theorem: geometric proof, new interpretations’, Social Choice and Welfare 31: 393-413. Focus especially on pages 393-401. Petron, A and D.G. Saari 2006. `Negative externalities and Sens liberalism theorem, Economic Theory 28: 265-281. Read Sections 1 to 4. Saari, D. G. (1995). Basic Geometry of Voting, Springer-Verlag, New York Saari, D. G. (1998). Connecting and resolving Sen’s and Arrow’s Theorems, Social Choice Welfare 15, 239-261 Saari, D. G. (2001). Decisions and Elections; Explaining the Unexpected, Cambridge University Press, New York Saari, D. G., and Petron, A. (2004). (April), Negative Externalities and Sen’s Liberalism Theorem, IMBS working papers, University of California, Irvine, to appear in Economic Theory,June, 2006. Saari, D. G. and Sieberg, K. (2001). The sum of the parts can violate the whole, American Political Science Review 95, 415-433. Salles, M. (1997). On Modelling Individual Rights: Some Conceptual Issues: Discussion; p 129-133 in Social Choice Re-examined, Vol. 2; Ed. by K. J. Arrow, A. K. Sen, and K. Suzumura,St Martin’s Press New York. Sen, A. K. (1966). A Possibility Theorem on Majority Decisions, Econometrica, 34(2), 491-09. Sen, A. K. (1970a). Collective Choice and Social Welfare, Holden-Day, San Francisco. Sen, A. K. (1970b). The Impossibility of a Paretian Liberal, The journal of Political Economy, 78(1), 152-57. Sen, A. K. (1976). Liberty, Unanimity and Rights, Economica 43(171), 217-45. Sen, A. K., Liberty and Social Choice, Journal of Philosophy, 80(1), 5-28. Sen, A. K. (1992) Minimal Liberty, Economica, 59 (234), 139-60. Sen, A. K. (1999) The possibility of social choice. The American Economic Review 89 (3), 349-378

Cosmetic Surgery on Teenagers

Cosmetic surgery on teenagers Both texts, Valerie Ulene, â€Å"Plastic surgery for teens†, an article from Los Angeles Times website, January 12, 2009 and Camille Sweeney, â€Å"Seeking Self-Esteem Through Surgery†, an article from New York Times website, January 15, 2009, agree on the view on cosmetic surgery and query the idea of increased self-esteem to a certain point. Text 1, â€Å"Plastic surgery for teens†, focuses more on the surgery itself whereas text 2, Seeking Self-Esteem Through Surgery†, focuses more on the psychological part of cosmetic surgery.Even though they show two different sides of plastic surgery they still share some of the same statements of problems such as: which consequences surgery can lead to and which image issues teenagers’ face today. The fact that Diana Zuckerman, The president of the National Research center for Women and Families, appears in both articles makes them look alike in some cases, due to the similar chos en subjects. In text 1 Valerie Ulene emphasizes the issues of the modern world’s view on beauty and unrealistic ideals.These are some the primary problems that she discusses. In her discussion she actually refers to a study that shows no evidence of improved self-esteem after undergoing surgery. Valerie Ulene questions the surgeons, and that is where Dr. John Canedy, president of the American Society of Plastic Surgeons, comes in. Dr. John Canedy himself seems to have a critical view on cosmetic procedures among teens as well. He doesn’t exclude improved self-esteem, but he thinks that the surgeons should select the patients carefully and after long consideration.As I mentioned before text 2, â€Å"Seeking Self-Esteem Through Surgery†, focuses a lot on the beauty and psychological issues such as: celebrity obsession and makeover TV shows. Another person who shares some of the same views is Jean Kilbourne, the co-author of â€Å"So Sexy, So Soon†. He talks about the impossibilities of meeting the standards and values of beauty. Ann Kearney-Cooke, likes to characterize this phenomena as â€Å"an epidemic of low self-esteem among girls†.Diana Zuckerman, which appears in both articles, says that teens often forget or ignore the fact that they aren’t guaranteed a better life afterwards and that’s a big problem. Valerie Ulene engages the readers in several ways. One of the methods she uses in the text is to personalize it by referring to herself and her beauty problems, more specifically her nose. This is something that appears throughout the text. She even mentions her teen daughter: â€Å"With a 14-year-old daughter of my own, I recognize how difficult it can be†.By this she also refers to parents banning teen plastic surgery, and that engages the readers personally. Most people could probably relate to most of the problems Valerie Ulene talks about and has experienced. By choosing such a big issue she gets a lot of readers who are more likely to find the article interesting. Another method of engaging the readers is to strengthen the reliability. She does this by including several experts, who uses facts and creates different views: â€Å"there is really no data to suggest that it improves their overall body image or self-esteem†, as Diana Zuckerman comments.The data doesn’t only support the experts but it also supports the importance of these issues. The debate of banning plastic surgery for teens is an all time debate that keeps reappearing, maybe not much here in Denmark, but other places like Brazil, USA, UK etc. The arguments are mostly the same when it comes to issues like this: on one side banning it would be necessary in some cases; on the other side we live in a modern world where people can be held responsible for their actions.This is also the general view in this case. On one side we’ve got the Australian state of Queensland which finds it necessary to ban plastic surgeries for teens, like Dr. Pete Constantino says: â€Å"If they aren’t old enough to sign their own surgical consent for a medically necessary procedure, then they shouldn’t be able to induce their parent to do for cosmetic surgery†. Teenagers are incapable of making such a big decision at that age.On the other side: is that limiting teenagers’ needs both psychologically and physically? The question is whether the government should decide which values, morals and norms are correct. In this case the best thing is to bane cosmetic surgeries for teenagers. Your body is still developing, and most teenagers aren’t responsible enough to make such big decisions. ——————————————– [ 1 ]. Page 3, line 58. [ 2 ]. Page 2, line 26-17. [ 3 ]. Page 6, line 23-24.

English Poetry Essay

Part A 2. What are the symbolic significances of the candy store in Lawrence Ferlinghetti’s â€Å"The Pennycandystore Beyond the El† (Geddes, 318)? The candy store in â€Å"The Pennycandystore Beyond the El† is symbolic of a child’s youth. This poem is referring to the fact that our childhood passes by too soon and the candy store is a reminder that we need to seize every moment to enjoy it. The pennycandystore offers as a retreat or refuge to the bad weather outside and the stresses of everyday life. It takes on the characteristics of an enchanted environment full of magic and wonder, where a child has the opportunity to enjoy their youth without any distractions. When â€Å"A girl ran in Her hair was rainy Her breasts were breathless in the little room† (Geddes 319), the safe haven of youth is invaded. The innocence of youth is lost and teenage adolescence is not far away. 3. After reviewing the entry on rhyme in Abram’s Glossary, identify three different types of end-rhyme in Theodore Roethke’s â€Å"Prayer† (Geddes, 140). What effects do the rhymes produce? In â€Å"Prayer† there are several examples of end rhyme that add to the overall structure of the poem. These examples of end-rhyme are lose/choose, dead/head, and preserve/serve. The person praying is using the rhymes to give the poem a light and sarcastic feel. â€Å"Therefore, O Lord, let me preserve The Sense that does so fitly serve; Take Tongue and Ear-all else I have-Let light attend me to the grave† (Geddes 140)! This passage suggests that the person praying wants light to attend them to the grave, but they believe it to be such a lofty request that they are offering their tongue, ear, and everything else on their body. The rhymes produce the notion that the prayer should not be taken too seriously. 4. What is the chief symbol in Lorna Crozier’s poem â€Å"Forms of Innocence† (Geddes, 675)? What does the symbol suggest beyond its literal meaning? The main symbol in the poem â€Å"Forms of Innocence† is the black swan, which represents the girl’s innocence. â€Å"A strange shape for innocence when you think of Leda but the girl insists it was a swan, black not white as you might expect† (Geddes 675). Black swans are a rare occurrence in nature and so is a girl’s innocence in life. The swan â€Å"took flight, how it soared from the window beating its wings high above the stubble field† (Geddes 675) is a representation of the girl losing her virginity. The girl losing her virginity is the final step to losing the innocence that she once had as a child. 5. In â€Å"Epithalamium† (Geddes, 600) Louise Gluck uses alliteration, assonance and consonance. Identify an example of each and comment on the effect of these devices in Gluck’s poem. In â€Å"Epithalamium† an example of alliteration is â€Å"Here is my hand that will not harm you† (Geddes 601). Here the poet is utilizing softer sounds. â€Å"There were others; their bodies were a preparation† (Geddes 600) is an example of assonance. An example of consonance is â€Å"the terrible charity of marriage† (Geddes 600). Both the example of assonance and consonance use harder sounds to convey a message. One could conclude that higher-pitched sounds aggravate the ear, while softer-pitched sounds appease the ear. The wife in the poem is describing her marriage to an abusive husband and uses sound to get her message across more clearly. However, it is ironic that the wife starts the poem with hard sounds and ends the attack on her husband with soft sounds. 6. How do any three of the plant/vegetation images function, or what do they convey, in Ezra Pound’s translation-poem â€Å"The River Merchant’s Wife: A Letter† (Geddes, 2526)? The plants and vegetation in the poem communicate a message about a wife’s love for her husband. In the beginning of the poem we are presented with the image of a little girl â€Å"pulling flowers† (Geddes 25). The flowers symbolize a budding or growing relationship between the little boy and girl. Then at the end of the poem the plants and vegetation take on a completely different meaning. â€Å"You dragged your feet when you went out. By the gate now, the moss is grown, the different mosses† (Geddes 26). When the husband left the house he dragged his feet and cleared the moss away, but he has been gone so long that it has grown back. Though the wife says the moss is too deep to clear away, she really just doesn’t want to let go of this last memory of her husband. â€Å"The leaves fall early this autumn, in wind† (Geddes 26), is a representation of a husband and wife whose relationship is falling apart and becoming more and more distanced. Part B â€Å"Bushed† by Earle Birney In the following essay I intend to use the linear method of explication to examine the poem â€Å"Bushed†. The title â€Å"Bushed† refers to someone that is lost in the bush and is made volatile by living in the bush too long. In the following explication I will analyze and dissect each stanza, gaining some insight on the different stages that a man goes through living in the bush. The first of seven stanzas begins with the creation of a â€Å"rainbow† that is â€Å"shattered† (Geddes 161) by lightning. When referring to the â€Å"inventor† of the rainbow it is God. The rainbow is so big and overwhelming that â€Å"his mind slowed when he looked at it† (Geddes 161). The man in the poem is in awe of his natural surroundings. In the second stanza the man â€Å"learned to roast porcupine belly† (Geddes 161). This shows us that the man is learning how to use the resources around him to survive in the wilderness. In stanza three we are told the man is out at â€Å"dawn† regardless if it is â€Å"yellowed bright† or like a â€Å"fuzzed moth in a flannel storm† (Geddes 161). Here we become aware that the man is up at dawn regardless of the circumstances. The fourth stanza opens with, â€Å"But he found the mountain was clearly alive† (Geddes 161). This is where we begin to see the signs of paranoia and isolation setting into the man’s mind. The man gives the mountain human qualities such as â€Å"feet† and the ability to fall â€Å"asleep† (Geddes 161) that further suggest he is slowly losing his mind. In stanza five the man mistakes ospreys for valkyries, â€Å"When he tried his eyes on the lake ospreys would fall like valkyries† (Geddes 161). This is a sign that the man is beginning to panic being in the bush alone and fear is taking its toll. The â€Å"valkyries† as the man sees them are â€Å"choosing the cut-throat† (Geddes 161). The man is becoming delusional and believes birds want to cut his throat. Stanza six shows us the man succumbing to the intimidating force of nature. The â€Å"moosehorned cedars circled his swamps and tossed their antlers up to the stars† (Geddes 162). The man truly believes that the wilderness around him is coming alive. He seems to think, â€Å"the winds were shaping its peak to an arrowhead† (Geddes 162), â€Å"it† meaning the mountain. The isolation the man is experiencing is enhancing his fear, which is depressing his mind, and leading to insanity. The final stanza is the man totally giving up and surrendering to nature. He is waiting â€Å"for the great flint to come singing into his heart† (Geddes 161). The â€Å"flint† meaning the peak of the arrowhead from the mountain to come and end his life. This poem is a commanding examination of one man’s struggle to survive in the bush. We see that the human mind cannot fully comprehend what nature is trying to say, but we should make every effort to listen nonetheless. Works Cited Geddes, Gary. 20th Century Poetry & Poetics: Fourth Edition. Ontario: Oxford University Press Canada, 1996.

Third Gender - 1599 Words

In society, the biological difference between men and women is used as a justification for aligning them with different social roles which restrict and mold their attitudes and behavior. Merriam-Webster defines gender as the behavioral, cultural, or psychological traits typically associated with one sex. Narrow minded society of today is not satisfied with the natural difference of sex, but each insist on adding a cultural difference of gender to it. The unsophisticated, ideal physical facts always become associated with the complex psychological qualities (Holter). It is not enough for a male to be a man; he must also be masculine. A woman, in addition to being a female, must be feminine (Magner). In a more evolved and accepting society,†¦show more content†¦From a historical stand point, it was always assumed that the head of the household was always the male. Todays society have groomed people to believe and expect a man to be brave, industrious and domineering, whereas a woman is suppose to be submissive and nurturing (263). Men have also been raised to believe that their feelings and emotions are suppose to be hidden from others and should be dealt with internally. With creating this society, men will be able to express themselves without ridicule. Men will be able to continue to provide for their families, as well as maintaining a clean image without being labeled as queer. Men will have an overall promising and positive impact on society by creating a community where children will have positive male figure in their lives. This new type of man, one who is sensitive, caring and not afraid to vent his feelings will still be able to carry the burden of taking care of the household and the children in the event there is absence of the mother. The female and androgynous perception of a man will eliminate the dominance of a males ego. Androgyny is a word made up of two Greek roots. Andro which means males; whereas, gyn means female (Woodhill, 18). Androgyny is the state or condition of having a high degree of both feminine and masculine traits (18). Under these circumstances, human beings have loosely defined impulses and are free toShow MoreRelatedEssay on The Third Gender1662 Words   |  7 PagesKaleen Rodriguez ENC 1102 Exploratory Essay The Third Gender What is the role of the third gender in South Asia? How does Asian society identify the third gender? I walked into my best friend Joel’s room this morning extremely excited to have lunch with him after a long four months without seeing him and on my journey to his room I picked up a paper that was lying by his door. 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