Social Choice_Summary - Summary of Results Matt Van Essen...

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Summary of Results Matt Van Essen University of Alabama Van Essen (U of A) Re-Cap 1 / 16
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Summary of Traditional Social Choice Model In this lecture we provide a summary of the course so far. Speci°cally, we review the assumptions of the traditional social choice model and list the results we have discussed. Van Essen (U of A) Re-Cap 2 / 16
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Basic Social Choice Environment The basic social choice environment: 1 Identi°es the group of individuals involved in the process - I 2 Lists the alternatives the group is trying to decide between - A 3 Describes each individual±s ranking of the di/erent alternatives - R Van Essen (U of A) Re-Cap 3 / 16
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Results for the Basic Environment In this environment, we de°ned voting procedures (SCF) and social ranking functions (SRF): Examples of SCF: majority rule, plurality, Borda count, Condorcet±s Method, Copeland±s Method, Hare Procedure, Dodgson. Examples of SRF: iterating a SCF, Borda Ranking Van Essen (U of A) Re-Cap 4 / 16
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Results for the Basic Environment We also listed some properties we thought these functions should possess: Examples of SCF Properties: anonymity, neutrality, monotonicity,
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