Fair Division :: Essays Papers

Fair Division The problem of how resources can be sanely distributed has remained at the forefront of political, academic, and social life for centuries. match to political scientist Steven J. Brams (1996) and mathematician Alan D. Taylor (1996), the issue of ordinary divergence can be traced back to the Hebrew Bible, with King Solomons proposal to divide a baby in two in order to appease the claims of two mothers. Within the last century, questions regarding the fair cleavage and allocation of property have arisen throughout various spheresdivorce claims, demesne settlements, assessments of taxesand attempts to solve these dilemmas have increased as well (Brams & Taylor 1996). It is my intention with this set about to better understand this issue of fair division by tone at two permutations of the fair division problem. I would like to case at two actual methodsDivider-Chooser and the Method of Sealed Bidsand criteriacooperation, rationality, privacy, symmetryin o rder to examine the ways in which people have employ mathematical devices to guarantee a fair sh argon. However, it is also my intention with this examine to a introduce a unsanded criteriamanipulationto see how it coexists with the actual criteria, and how well it works in accordance with the two methods. One historical problem concerning a fair share has been the selection of a invigorated force from a list of several campaigners, such that each panorama receives a fair share at the chance to become fag. agree to Theodore P. Hill (2000), there exist many legends explaining attempts to solve this problemDarius became fairy when his horse was the first to neigh at the city walls, and ONeill became might under the rule that he who first touches Irish soil entrust be monarch, by chopping off his left hand and tossing it ashore up of his competitors. The problem with these methods was that they lacked a central organizing premise, such that each participant wo uld be satisfied that they received a fair shot. Imagine that subaltern Hank and pocket-sized greyback have just mowed the backyard for their parents. As a reward for their efforts, Hank and greybacks parents give them a box of pastries from the local bakery. There are muffins, clairs, cookies, and even a few Russian teacakes.Fair Division Essays coverFair Division The problem of how resources can be fairly distributed has remained at the forefront of political, academic, and social life for centuries. According to political scientist Steven J. Brams (1996) and mathematician Alan D. Taylor (1996), the issue of fair division can be traced back to the Hebrew Bible, with King Solomons proposal to divide a baby in two in order to appease the claims of two mothers. Within the last century, questions regarding the fair division and allocation of property have arisen throughout various spheresdivorce claims, the three estates settlements, assessments of taxesan d attempts to solve these dilemmas have increased as well (Brams & Taylor 1996). It is my intention with this sample to better understand this issue of fair division by odoring at at two permutations of the fair division problem. I would like to look at two existing methodsDivider-Chooser and the Method of Sealed Bidsand criteriacooperation, rationality, privacy, symmetryin order to examine the ways in which people have use mathematical devices to guarantee a fair share. However, it is also my intention with this experiment to a introduce a new criteriamanipulationto see how it coexists with the existing criteria, and how well it works in accordance with the two methods. One historical problem concerning a fair share has been the selection of a new king from a list of several candidates, such that each candidate receives a fair share at the chance to become king. According to Theodore P. Hill (2000), there exist many legends explaining attempts to solve this problemDa rius became king when his horse was the first to neigh at the city walls, and ONeill became king under the rule that he who first touches Irish soil leave be monarch, by chopping off his left hand and tossing it ashore before of his competitors. The problem with these methods was that they lacked a central organizing premise, such that each participant would be satisfied that they received a fair shot. Imagine that little Hank and little Johnny have just mowed the backyard for their parents. As a reward for their efforts, Hank and Johnnys parents give them a box of pastries from the local bakery. There are muffins, clairs, cookies, and even a few Russian teacakes.