Nobel Laureates In Economics 2012: Recognised For Designing Unusual Markets
The failed market for kidneys
2012 Nobel Laureates honoured for designing markets
Surely, the markets for human body parts, and many others of similar nature, are quite different from the markets which one would go through on a day to day basis. But these markets too should have an equilibrium point, stability and satisfaction for all the parties who do trading in them.
This was the subject matter studied by Lloyd Shapley of the University of California, Los Angeles and Alvin Roth of Harvard University, both in USA, with an extraordinary passion and that earned them a Nobel Prize in economics in 2012.
This was the subject matter studied by Lloyd Shapley of the University of California, Los Angeles and Alvin Roth of Harvard University, both in USA, with an extraordinary passion and that earned them a Nobel Prize in economics in 2012.
Gale-Shapely Algorithm: Best choice through repeated action
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David Gale and Lloyd Shapley analysed two events in their 1962 paper that gave rise to Gale-Shapley Algorithm. Those two events were marriages and admission to colleges. In the case of marriages, the stability in marriage happens when the two partners have no any further incentive to look for new partners because both of them are now fully satisfied with their chosen partners. Gale and Shapley pointed out that people can have the best match for them by following an algorithmic or in other words, an iterative process. The same choice can be made by people when they seek admission to colleges. They will go on repeating the search until they find a college which is ready to accept them as students.
For instance, take the matching in marriages. Assume that our marriage market consists of five men and five women searching for suitable partners. If man one’s best choice is woman one, but woman one’s best choice is not man one but, say, man three, then, there cannot be a match between them. Man one has to look for a woman who chooses him as her best choice. Suppose that man three’s best choice is not woman one but woman two. Then, woman one and man three cannot be matched. Everyone therefore has to go on searching until they get a match and at that stage, they can make a choice and end up pairing themselves. Those who have got married through the market or those who have sought admission to their preferred colleges can certainly talk about this experience which they would have had.
Implications of Gale-Shapley Algorithm For instance, take the matching in marriages. Assume that our marriage market consists of five men and five women searching for suitable partners. If man one’s best choice is woman one, but woman one’s best choice is not man one but, say, man three, then, there cannot be a match between them. Man one has to look for a woman who chooses him as her best choice. Suppose that man three’s best choice is not woman one but woman two. Then, woman one and man three cannot be matched. Everyone therefore has to go on searching until they get a match and at that stage, they can make a choice and end up pairing themselves. Those who have got married through the market or those who have sought admission to their preferred colleges can certainly talk about this experience which they would have had.
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