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Preface=v
1. Do We Get What We Expect?=1
1.1. Decisions=1
1.1.1. Decisions=2
1.1.2. Surf, Snow, or Governor Jesse Ventura?=2
1.1.3. Correct decisions=4
1.1.4. Good information to confusion=4
1.1.5. Bad outcomes=7
1.2. What does an outcome mean?=8
1.3. Which procedure?=9
1.3.1. Milk, wine, or beer?=10
1.3.2. Another election=12
1.3.3. For a price, I will=13
1.4. Engineering and manufacturing=14
1.4.1. One source of inefficiency=15
1.5. Economics and other topics=17
1.5.1. Locating a new plant=18
1.5.2. Law and other areas=19
1.6. What goes wrong?=19
2. Arrow's Theorem=21
2.1. Introduction=21
2.1.1. But, does Arrow's Theorem really matter?=24
2.1.2. The real culprit=25
2.2. Choice Theory=26
2.2.1. Is the plurality vote broke=27
2.2.2. What is wrong?=28
2.2.3. Real world examples=28
2.3. Shopping for cars - and election procedures=30
2.3.1. A little game=31
2.3.2. Garbage in, garbage out=32
2.3.3. Transitive preferences and points along a line=34
2.3.4. Procedures=36
2.4. Arrow's Theorem=42
2.4.1. Examples=43
2.5. Consequences of Arrow's Theorem=45
2.5.1. Comparisons with pairwise elections=46
2.5.2. More general comparisons=51
2.5.3. Don't expect compatibility=52
2.5.4. Further Implications=53
2.6. Sen's Theorem=56
2.6.1. Three alternatives=57
2.6.2. More alternatives=58
2.6.3. Libertarians=59
2.6.4. Prisoner's Dilemma=63
2.6.5. Relationship between Sen and Arrow=66
2.6.6. What else?=67
3. Explanations And Examples=69
3.1. Are all methods unfair?=69
3.2. Sen's Theorem=70
3.2.1. Lost information=71
3.2.2. Loss of transitivity=72
3.2.3. Costs of Minimal Liberalism=74
3.2.4. More examples=76
3.2.5. Salles' example=77
3.2.6. Designing examples as complex as desired=78
3.2.7. A converse=79
3.2.8. Gibbard's cycles=80
3.3. Arrow=81
3.3.1. Too many parts=81
3.3.2. A beer party and the free rider problem=83
3.3.3. Pairwise vote=84
3.3.4. Ranking disk=87
3.3.5. Winning against unanimity=93
3.3.6. How to win your way=94
3.3.7. Arrow's dictator=100
3.3.8. Avoiding Arrow's dictator=101
4. What Else Can Go Wrong?=103
4.1. Some assembly required=103
4.1.1. Expect the unexpected=104
4.1.2. General approach=105
4.2. Simpson's Paradox=106
4.2.1. The paradox=107
4.2.2. More relevant examples=108
4.2.3. Lessons from Arrow's Theorem=109
4.2.4. Simpson problems in sunny California=110
4.2.5. Creating new examples=112
4.2.6. Even more general behavior=113
4.3. Gambling - and the financial market=114
4.4. Law=116
4.4.1. Genome mapping=116
4.4.2. Legal cycles=117
4.4.3. If the Catholic bishop would only get married=119
4.5. Kindness through personal understanding=120
4.6. Majorities and democracies=123
4.6.1. Anscombe Paradox=123
4.6.2. Ostrogorski concerns=126
4.7. Learning how to cause trouble=128
4.7.1. Apportionment of US Congress=130
4.7.2. Causing problems=132
4.7.3. Shifting populations=134
4.7.4. Other apportionment methods=135
4.8. Strategic Voting=135
5. More Perversities=139
5.1. Economics: Supply and Demand=140
5.1.1. Sonnenschein, Mantel, Debreu=141
5.1.2. A misleading theory?=142
5.1.3. Subeconomies=143
5.2. Individual demand and consumer benefits=144
5.3. Can excellence breed inefficiency?=147
5.3.1. A simple decentralization model=148
5.3.2. Inefficiency in engineering?=148
5.4. Elections with triplets, or=150
5.4.1. An Arrow-like Theorem=151
5.4.2. Consequences for our elections=154
5.4.3. Resolution?=156
5.5. Still more examples=156
6. A Search For Resolutions=157
6.1. Introduction=157
6.1.1. Homogeneity=158
6.1.2. Free rider=159
6.1.3. Sen=160
6.2. Altering assumptions=161
6.2.1. From a new pope to an oligarchy=161
6.2.2. Tinkering with other assumptions=164
6.3. Profile restrictions=165
6.3.1. Bad news=166
6.3.2. Non-dictatorial procedures=169
6.3.3. Black's Conditions=173
6.4. Good news=182
6.4.1. Trouble causing profiles=182
6.4.2. New problems?=183
6.5. Resolutions through new axioms=187
6.5.1. Intensity of binary independence=190
6.5.2. Other acceptable procedures=192
6.6. What next?=193
7. From Sen To Prisoners and Prostitution=195
7.1. Annoying others=196
7.1.1. Source of the problem=197
7.1.2. Negative vibes=198
7.2. Thou shall not annoy others=199
7.3. Return to the Prisoner's Dilemma=200
7.3.1. Again and again and=201
7.3.2. Learning from prostitution and drug sales=202
7.4. Summary=203
8. Glossary, Notes, and Technical Talk=205
8.1. Glossary=205
8.2. Notes=208
8.3. Axioms=213
8.3.1. The use and abuse of axioms=213
8.3.2. More fundamental complaints=214
8.4. A proof of Arrow's Theorem=217
8.4.1. Geometry of rankings=217
8.4.2. Moving about=220
8.4.3. Societal changes=222
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