Managerial Logic.

Managerial Logic.

The publication of the first book by Kenneth Arrow and Hervé Raynaud, in 1986, led to an important wave of research in the field of axiomatic approach applied to managerial logic. Managerial Logic summarizes the prospective results of this research and offers consultants, researchers, and decision...

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Bibliographic Details
Main Author: Raynaud, Harvé
Format: eBook
Language:English
Published: Hoboken : Wiley, 2013.
Series:ISTE.
Subjects:
Decision making.
Decision making > Mathematical models.
Logic.
decision making.
Decision making
Decision making > Mathematical models
Logic
Online Access:Click for online access
Table of Contents:
  • Cover; Title Page; Copyright Page; Table of Contents; General Introduction; PART 1. A PARADOXICAL RESEARCH FIELD; Chapter 1. The Initial Problem; 1.1. Introduction; 1.2. The decision makers and their consultants' usual work; 1.2.1. Identifying the admissible alternatives; 1.2.2. Identifying the criteria; 1.2.3. Evaluating alternatives; 1.2.4. Synthesizing the "data"; 1.2.5. Interpreting the results of the calculation; 1.3. Toward a paradigm for managerial decision-making; 1.3.1. Criteria only in the form of preorderings?; 1.3.2. Synthesis of data: choosing the method; 1.4. Exercises.
  • 1.5. Corrected exercisesChapter 2. Paradoxes; 2.1. Arrow's axiomatic system; 2.2. May's axiomatic system; 2.3. Strategic majority voting; 2.3.1. The cake; 2.3.2. A miser, a drunkard, and a health freak; 2.4. Exercises; 2.5. Corrected exercises; PART 2. A CENTRAL CASE: THE MAJORITY METHOD; Chapter 3. Majority Method and Limited Domain; 3.1. Sen's lemma [SEN 66]; 3.2. Coombs' condition; 3.3. Black's unimodality condition [BLA 48, BLA 58]; 3.4. Romero's arboricity; 3.5. Romero's quasi-unimodality; 3.6. Arrow-Black's single-peakedness; 3.7. The Cij's; 3.8. Exercises; 3.9. Corrected exercises.
  • Chapter 4. Intuition Can Easily Suggest Errors4.1. Inada's conditions; 4.2. Is the bipartition the same as the NITM condition?; 4.3. Diversity of the NIMT condition; 4.4. Exercises; 4.5. Corrected exercises; Chapter 5. Would Transitivity be a Prohibitive Luxury?; 5.1. Star-shapedness; 5.2. Ward's condition; 5.2.1. In search of reasonable axiomatic limitations on the feasible domain for the criteria; 5.2.2. A fundamental result; 5.3. The failure of the majority method; 5.4. Exercises; 5.5. Corrected exercises; Conclusion of the Second Part; PART 3. AXIOMATIZING CHOICE FUNCTIONS.
  • Chapter 6. Helpful Tools for the Sensible Decision Maker6.1. The "habitual" decision maker and his/her traditional means; 6.1.1. Decision makers' reluctance in the face of the consultants' "knowledge"; 6.1.2. The "habitual" decision maker and the framing of Kahneman and Tversky; 6.2. The habitual decision maker; 6.2.1. A small history of utilitarianism; 6.2.2. How can one explain utilitarianism's success?; 6.2.3. What remains of utilitarianism if it wants to support a well-founded decision-making theory?; 6.3. A "sensible" decision maker confronted with a difficult decision.
  • 6.4. The urgency of raising the moral standard of the market6.5. Conclusion; 6.6. Exercises; 6.7. Corrected exercises; Chapter 7. An Important Class of Choice Functions; 7.1. Introduction; 7.2. The problem: various definitions; 7.3. Natural properties of the E-matrices and B-F-matrices; 7.4. Choice functions that depend only on the E-matrix oron the B-F-matrix; 7.5. Characterization of the choice functions that depend only on the E-matrix (respectively, B-F-matrix); 7.6. Conclusion; 7.7. Exercises; 7.8. Corrected exercises; Chapter 8. Prudent Choice Functions; 8.1. Introduction.
  • 8.2. Toward the prudence axiom.

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