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A simple and short proof of Dictator Theorem is given. Loosely stated, the theorem says that democracies are not possible,...
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A simple and short proof of Dictator Theorem is given. Loosely stated, the theorem says that democracies are not possible, with the prevalent voting systems.
Material Type:
Simulation
Author:
Kannan Nambiar
Date Added:
Nov 08, 2001
Date Modified:
Jun 28, 2012
Peer Review for material titled "A Graph-Theoretic Proof of Arrow's Dictator Theorem"
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It is shown that Fractional Voting System can be used to circumvent Arrow's paradox. The paradox states that fair elections...
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It is shown that Fractional Voting System can be used to circumvent Arrow's paradox. The paradox states that fair elections are not possible with the present voting systems.
Material Type:
Reference Material
Author:
Kannan Nambiar
Date Added:
Nov 07, 2001
Date Modified:
Nov 16, 2009
Peer Review for material titled "Arrow's Paradox and the Fractional Voting System"
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An author's Snapshot for Arrow's Paradox and the Fractional Voting System for the material found in MERLOT at...
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An author's Snapshot for Arrow's Paradox and the Fractional Voting System for the material found in MERLOT at http://www.merlot.org/merlot/viewMaterial.htm?id=75812. This snapshot shows an overview of the material. This was created in the MERLOT Content Builder.
Material Type:
ePortfolio
Author:
Kannan Nambiar
Date Added:
Aug 11, 2011
Date Modified:
Aug 11, 2011
Peer Review for material titled "Arrow's Paradox and the Fractional Voting System: A Snapshot"
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Here is an example which will illustrate the flaw in the Single Transferable Vote (STV) system used in the Presidential...
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Here is an example which will illustrate the flaw in the Single Transferable Vote (STV) system used in the Presidential elections in the US and India. Consider what happens when there are five Presidential candidates A, B, C, D, E and the electoral college consists of 501 electors. Suppose 251 electors have given their preference order as ABCDE (A preferred most and E preferred least) and the remaining 250 electors have their preference as BCDEA. Most people would agree that B should be elected President, since he has been chosen by everyone as either the first preference or the second preference, and almost half (250 out of 501) have given him the first preference. Also, A is preferred least by almost half the electorate (250 out of 501), which should neutralize the 251 first preference votes in his favor. While common sense suggests that B is the right choice, the system of STV would choose A as the President. Arrow's paradox asserts that this kind of anomalies are inevitable if the input to a voting system is a preference order.
Material Type:
Reference Material
Author:
Kannan Nambiar
Date Added:
May 18, 2009
Date Modified:
May 18, 2009
Peer Review for material titled "Saving Democracy from Arrow's Paradox (youtube video)"
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