Raynaud, Harvé.
Managerial Logic. - 1st ed. - 1 online resource (333 pages) - Iste . - Iste .
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 exercises -- Chapter 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 Errors -- 4.1. 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 Maker -- 6.1. 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 market -- 6.5. 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 or on 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 -- 8.2.1. The Condorcet principle -- 8.2.2. The mindominance principle -- 8.2.3. The maxdomination principle -- 8.2.4. The prudence principle -- 8.3. Properties related to prudence for choice functions -- 8.4. Exercises -- 8.5. Corrected exercises -- Chapter 9. Often Implicit Axioms: Sovereignty, Homogeneity, Decision by Rejection or Selection, Prudence and Violence -- 9.1. Introduction -- 9.2. Sovereignty -- 9.2.1. About the definition domain of the criteria -- 9.2.2. About the image of the choice function -- 9.3. Homogeneous choice. 9.4. Choice by selection and choice by rejection -- 9.5. Violent choice and prudent choice -- 9.6. Exercises -- 9.7. Corrected exercises -- Chapter 10. Coherent Choice Functions -- 10.1. Introduction -- 10.2. Characterization of the Borda method -- 10.3. Coherence and the other axioms -- 10.3.1. Coherence and Condorcet choice function -- 10.3.2. Coherence and prudence -- 10.4. Exercises -- 10.5. Corrected exercises -- Chapter 11. Rationality and Independence -- 11.1. Introduction -- 11.2. Rationalities -- 11.3. Axioms of independence -- 11.4. The inclusive iteration principle -- 11.5. Conclusion -- 11.6. Exercises -- 11.7. Corrected exercises -- Chapter 12. Monotonic Choice Functions -- 12.1. Introduction -- 12.2. Monotonicity defined -- 12.3. Prudence and monotonicity -- 12.4. Prudence and binary monotonic independence -- 12.5. Strong monotonicity -- 12.6. Exercises -- 12.7. Corrected exercises -- PART 4. MULTICRITERION RANKING FUNCTIONS -- Chapter 13. Sequentially Independent Rankings -- 13.1. Introduction -- 13.2. The sequential independence axioms -- 13.3. Sequential independence with current choice and rejection functions -- 13.4. Exercises -- 13.5. Corrected exercises -- Chapter 14. Prudent Rankings -- 14.1. Introduction -- 14.2. Some unexpected theorems -- 14.3. Prudent rankings -- 14.4. Prudence in preorders and iterated prudent choice -- 14.5. Exercises -- 14.6. Corrected exercises -- Chapter 15. Coherent Condorcet Rankings -- 15.1. Introduction -- 15.2. What does one call Kemeny's method or second Condorcet method? -- 15.2.1. Sources of the method -- 15.2.2. Properties of Kemeny's multifunction -- 15.2.3. Values of Kemeny's function on some particular profiles -- 15.3. Young and Levenglick's theorem -- 15.4. Exercises -- 15.5. Corrected exercises -- Chapter 16. Monotonic Rankings -- 16.1. Definitions of monotonicity for ranking functions. 16.1.1. Preliminary definitions -- 16.1.2. Monotonicity axioms for ranking functions -- 16.1.3. Relations between these definitions -- 16.2. Monotonicity of the most ordinary non-sequential multicriterion ranking function -- 16.2.1. Monotonicities and ordinary non-sequential ranking functions -- 16.2.2. With the sequential versions? -- 16.3. Various remarks -- 16.3.1. The bonds between monotonicity and independence are particularly strong: is monotonicity really as "expensive"as it seems to be? -- 16.3.2. Durand's paradoxal theorem (iterated strongly monotonic and symmetrical choice function) -- 16.4. Exercises -- 16.5. Corrected exercises -- Concluding Remarks -- Bibliography -- APPENDICES -- Appendix 1. Benjamin Franklin's Letter -- Appendix 2. Pyramids and Snakes: Romero's Algorithm -- Appendix 3. A Few Widespread Commercial Multicriterion Decision Techniques -- Index.
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 makers a unified framework for handling the difficult decisions they face. Based on confirmed results of experimental psychology, this book places the problem in a phenomenological framework and shows how the influence of traditional methods has slowed the effective resolution of these problems. It provides a panorama of principal concepts and theorems demonstrated on axiomatized methods to guide readers in choosing the best alternatives and rejecting the worst ones. Finally, it describes the obtained extensions, often paradoxical, reached when these results are extended to classification problems. The objective of this book is also to allow the decision maker to find his way through the plethora of "multicriterion methods" promoted by council organizations. The meta-method it proposes will allow him to distinguish the wheat from the chaff. The collaboration with Kenneth Arrow comes essentially from the fact that his work influenced all subsequent works quoted in this book. His famous impossibility theorem, his gem of a PhD thesis, and his various other works resulted in him receiving the Nobel Prize for economy just before meeting Hervé Raynaud who was at that time a visiting professor at Berkeley University in California. Their mutual publications serve as the basis for the axiomatic approach in multicriterion decision-making.
9781118602195
Decision making.
Electronic books.
HD30.23.R396 2011
658.4/03015
Managerial Logic. - 1st ed. - 1 online resource (333 pages) - Iste . - Iste .
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 exercises -- Chapter 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 Errors -- 4.1. 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 Maker -- 6.1. 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 market -- 6.5. 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 or on 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 -- 8.2.1. The Condorcet principle -- 8.2.2. The mindominance principle -- 8.2.3. The maxdomination principle -- 8.2.4. The prudence principle -- 8.3. Properties related to prudence for choice functions -- 8.4. Exercises -- 8.5. Corrected exercises -- Chapter 9. Often Implicit Axioms: Sovereignty, Homogeneity, Decision by Rejection or Selection, Prudence and Violence -- 9.1. Introduction -- 9.2. Sovereignty -- 9.2.1. About the definition domain of the criteria -- 9.2.2. About the image of the choice function -- 9.3. Homogeneous choice. 9.4. Choice by selection and choice by rejection -- 9.5. Violent choice and prudent choice -- 9.6. Exercises -- 9.7. Corrected exercises -- Chapter 10. Coherent Choice Functions -- 10.1. Introduction -- 10.2. Characterization of the Borda method -- 10.3. Coherence and the other axioms -- 10.3.1. Coherence and Condorcet choice function -- 10.3.2. Coherence and prudence -- 10.4. Exercises -- 10.5. Corrected exercises -- Chapter 11. Rationality and Independence -- 11.1. Introduction -- 11.2. Rationalities -- 11.3. Axioms of independence -- 11.4. The inclusive iteration principle -- 11.5. Conclusion -- 11.6. Exercises -- 11.7. Corrected exercises -- Chapter 12. Monotonic Choice Functions -- 12.1. Introduction -- 12.2. Monotonicity defined -- 12.3. Prudence and monotonicity -- 12.4. Prudence and binary monotonic independence -- 12.5. Strong monotonicity -- 12.6. Exercises -- 12.7. Corrected exercises -- PART 4. MULTICRITERION RANKING FUNCTIONS -- Chapter 13. Sequentially Independent Rankings -- 13.1. Introduction -- 13.2. The sequential independence axioms -- 13.3. Sequential independence with current choice and rejection functions -- 13.4. Exercises -- 13.5. Corrected exercises -- Chapter 14. Prudent Rankings -- 14.1. Introduction -- 14.2. Some unexpected theorems -- 14.3. Prudent rankings -- 14.4. Prudence in preorders and iterated prudent choice -- 14.5. Exercises -- 14.6. Corrected exercises -- Chapter 15. Coherent Condorcet Rankings -- 15.1. Introduction -- 15.2. What does one call Kemeny's method or second Condorcet method? -- 15.2.1. Sources of the method -- 15.2.2. Properties of Kemeny's multifunction -- 15.2.3. Values of Kemeny's function on some particular profiles -- 15.3. Young and Levenglick's theorem -- 15.4. Exercises -- 15.5. Corrected exercises -- Chapter 16. Monotonic Rankings -- 16.1. Definitions of monotonicity for ranking functions. 16.1.1. Preliminary definitions -- 16.1.2. Monotonicity axioms for ranking functions -- 16.1.3. Relations between these definitions -- 16.2. Monotonicity of the most ordinary non-sequential multicriterion ranking function -- 16.2.1. Monotonicities and ordinary non-sequential ranking functions -- 16.2.2. With the sequential versions? -- 16.3. Various remarks -- 16.3.1. The bonds between monotonicity and independence are particularly strong: is monotonicity really as "expensive"as it seems to be? -- 16.3.2. Durand's paradoxal theorem (iterated strongly monotonic and symmetrical choice function) -- 16.4. Exercises -- 16.5. Corrected exercises -- Concluding Remarks -- Bibliography -- APPENDICES -- Appendix 1. Benjamin Franklin's Letter -- Appendix 2. Pyramids and Snakes: Romero's Algorithm -- Appendix 3. A Few Widespread Commercial Multicriterion Decision Techniques -- Index.
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 makers a unified framework for handling the difficult decisions they face. Based on confirmed results of experimental psychology, this book places the problem in a phenomenological framework and shows how the influence of traditional methods has slowed the effective resolution of these problems. It provides a panorama of principal concepts and theorems demonstrated on axiomatized methods to guide readers in choosing the best alternatives and rejecting the worst ones. Finally, it describes the obtained extensions, often paradoxical, reached when these results are extended to classification problems. The objective of this book is also to allow the decision maker to find his way through the plethora of "multicriterion methods" promoted by council organizations. The meta-method it proposes will allow him to distinguish the wheat from the chaff. The collaboration with Kenneth Arrow comes essentially from the fact that his work influenced all subsequent works quoted in this book. His famous impossibility theorem, his gem of a PhD thesis, and his various other works resulted in him receiving the Nobel Prize for economy just before meeting Hervé Raynaud who was at that time a visiting professor at Berkeley University in California. Their mutual publications serve as the basis for the axiomatic approach in multicriterion decision-making.
9781118602195
Decision making.
Electronic books.
HD30.23.R396 2011
658.4/03015