Random Behavior in Numerical Analysis, Decision Theory, and Macrosystems: Some Impossibility Theorems
For many topics, including decision analysis, policy making, and the normative study of certain macrosystems, tools of analysis are applied to determine the essence or the state of a problem. The one commonality among these tools is that we want them to be “reliable”. For certain standard tools, it is shown that this goal of reliability may be impossible to attain. For some of these impossibility statements, alternative approaches are suggested.
KeywordsVote Method Universal Mechanism Borda Count Universal Algorithm Initial Iterate
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