Social Choice_Lecture 6_Yes-No Voting

In this set of notes we will dene a yes no voting

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Unformatted text preview: , and many results concerning them are known. In this set of notes: We will de…ne a yes-no voting system. Examine several real life examples of yes-no voting systems. De…ne a weighted voting system. Look at two ways of determining whether a given yes-no voting system is weighted. Van Essen (U of A) Y/N 5 / 30 Example 1: The European Economic Community In 1958, the Treaty of Rome established the existence of a yes-no voting system called the European Economic Community. The voters in this system were the following six countries: France, Germany, Italy, Belgium, the Netherlands, and Luxembourg.2 France, Germany, and Italy were given four votes each. Belgium, and the Netherlands were given 2 votes each Luxembourg was given 1 vote. Passage required at least 12 of the 17 votes. 2 In 1973, the EEC was altered with the addition of new countries and new votes. We will talk about this later. Van Essen (U of A) Y/N 6 / 30 Example 2: The UN Security Council The voters in this system are the 15 countries that make up the security council: 5 Permanent Members: China, England, France, Russia, and the US. 10 Non-Permanent Members Passage requires at least 9 of the 15 votes, subject to a veto due to a nay vote from any one of the 5 permanent members. Van Essen (U of A) Y/N 7 / 30 Example 3: The US Federal System There are 537 voters in this yes-no voting system: 435 members of the House of Representatives. 100 members of the Senate. the Vice-President President The vice president plays the role of tie breaker in the Senate and the President has veto power that can be overridden by a two-thirds vote of both the House and the Senate Van Essen (U of A) Y/N 8 / 30 Example 4: The System to Amend the Canadian Constitution An amendment to the Canadian Constitution becomes law only if it is approved by at least seven of the ten Canadian provinces subject to the proviso that the approving provinces have, among them, at least 50% of Canada’ population. s 2007 population: Prince Edward Island (0%) New Foundland (2%) New Brunswick (2%) Nova Scotia (3%) Saskatchewan (3%) Manitoba (4%) Alberta (11%) British Columbia (13%) Quebec (23%) Ontario (39%) Van Essen (U of A) Y/N 9 / 30 Coalitions De…nition In a yes-no voting system, any collection...
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This note was uploaded on 04/08/2014 for the course ECON 497 taught by Professor Vanessen during the Spring '12 term at Alabama.

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