How Long to Read Arrovian Aggregation Models

How Long Does it Take to Read Arrovian Aggregation Models?

It takes the average reader 4 hours and 18 minutes to read Arrovian Aggregation Models by Fuad T. Aleskerov

Assuming a reading speed of 250 words per minute. Learn more

Description

Aggregation of individual opinions into a social decision is a problem widely observed in everyday life. For centuries people tried to invent the `best' aggregation rule. In 1951 young American scientist and future Nobel Prize winner Kenneth Arrow formulated the problem in an axiomatic way, i.e., he specified a set of axioms which every reasonable aggregation rule has to satisfy, and obtained that these axioms are inconsistent. This result, often called Arrow's Paradox or General Impossibility Theorem, had become a cornerstone of social choice theory. The main condition used by Arrow was his famous Independence of Irrelevant Alternatives. This very condition pre-defines the `local' treatment of the alternatives (or pairs of alternatives, or sets of alternatives, etc.) in aggregation procedures. Remaining within the framework of the axiomatic approach and based on the consideration of local rules, Arrovian Aggregation Models investigates three formulations of the aggregation problem according to the form in which the individual opinions about the alternatives are defined, as well as to the form of desired social decision. In other words, we study three aggregation models. What is common between them is that in all models some analogue of the Independence of Irrelevant Alternatives condition is used, which is why we call these models Arrovian aggregation models. Chapter 1 presents a general description of the problem of axiomatic synthesis of local rules, and introduces problem formulations for various versions of formalization of individual opinions and collective decision. Chapter 2 formalizes precisely the notion of `rationality' of individual opinions and social decision. Chapter 3 deals with the aggregation model for the case of individual opinions and social decisions formalized as binary relations. Chapter 4 deals with Functional Aggregation Rules which transform into a social choice function individual opinions defined as choice functions. Chapter 5 considers another model – Social Choice Correspondences when the individual opinions are formalized as binary relations, and the collective decision is looked for as a choice function. Several new classes of rules are introduced and analyzed.

How long is Arrovian Aggregation Models?

Arrovian Aggregation Models by Fuad T. Aleskerov is 254 pages long, and a total of 64,516 words.

This makes it 86% the length of the average book. It also has 79% more words than the average book.

How Long Does it Take to Read Arrovian Aggregation Models Aloud?

The average oral reading speed is 183 words per minute. This means it takes 5 hours and 52 minutes to read Arrovian Aggregation Models aloud.

What Reading Level is Arrovian Aggregation Models?

Arrovian Aggregation Models is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Arrovian Aggregation Models?

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