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| Preface | |
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| Acknowledgments | |
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| Overview | |
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| The Division of Common Property | |
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| Micro vs. Macro Justice | |
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| The Terms of Discussion | |
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| Normative Theories of Justice: Aristotle, Bentham, and Rawls | |
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| No Envy | |
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| Distributive Judgments and Interpersonal Comparisons | |
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| Why Classical Formulas Fail | |
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| The Priority Principle | |
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| The Consistency Principle | |
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| When Proportionality Fails for Divisible Goods | |
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| Games of Fair Division | |
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| Equity and Efficiency | |
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| Equity and Priority | |
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| Methods for Distributing Indivisible Goods | |
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| The Demobilization of U.S. Soldiers at the End of World War II | |
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| The Point System for Allocating Kidneys in the United States | |
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| General Principles | |
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| Point Systems | |
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| Participatory Equity | |
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| Equity as Near as May Be | |
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| The Apportionment of Indivisible Goods | |
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| Apportionment in the United States | |
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| Statement of the Problem | |
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| The Methods of Hamilton and Jefferson | |
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| The Bias of Jefferson's Method | |
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| The Methods of Daniel Webster and John Quincy Adams | |
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| The Standard Two-State Solution and Its Generalization | |
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| The Alabama Paradox | |
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| The Method of Joseph Hill | |
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| Bias | |
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| Consistency and Priority | |
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| Staying within the Quota | |
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| The Population Paradox | |
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| Equity, Equality, Proportionality | |
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| Aristotle's Equity Principle | |
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| Claims Problems | |
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| The Contested Garment Rule | |
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| The Shapley Value | |
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| An Inconsistency in the Shapley Value | |
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| Maimonides' Rule | |
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| Gain vs. Loss | |
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| Varieties of Equality | |
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| Equity, Priority, and Consistency | |
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| Incentive Effects | |
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| Cost Sharing | |
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| Sharing Gains from Cooperation | |
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| A Cost-Sharing Problem between Two Towns | |
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| A Cost-Sharing Problem among Three Towns | |
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| The Cooperative Game Model | |
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| The Tennessee Valley Authority | |
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| The Decomposition Principle | |
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| The Shapley Value | |
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| Equitable Core Solutions: The Nucleolus | |
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| Progressive Taxation | |
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| Historical Background | |
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| The Progressivity Principle | |
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| The U.S. Federal Income Tax | |
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| Redressing Inequality | |
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| The Benefit Theory | |
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| Ability to Pay and Equal Sacrifice | |
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| The Effect of Progressive Taxation on Work Effort | |
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| Optimal Taxation | |
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| The Effect of Taxation on Risk-Taking | |
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| Fair Bargains | |
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| Bargaining Over Common Property | |
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| The Bargaining Set | |
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| The Coordination Problem | |
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| Classical Bargaining Solutions: Nash and Kalai-Smorodinsky | |
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| Framing Effects | |
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| Equity Criteria Based on Tangible Claims | |
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| Experimental Results on Bargaining | |
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| Empirical Evidence from Sharecropping Practices | |
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| Fair Process | |
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| Games of Fair Division | |
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| Auctioning Indivisibles | |
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| Superior and Inferior Modes of Division | |
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| Divide and Choose | |
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| The Divider's Advantage | |
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| Removing the Divider's Advantage by Lottery | |
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| Successively Splitting the Difference: The Raiffa Solution | |
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| Alternating Offers: The Nash Solution | |
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| Bidding to Be Divider: The Egalitarian Solution | |
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| Equity, Envy, and Efficiency | |
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| Fair and Efficient Exchange | |
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| Transparent Inequity | |
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| Egalitarianism | |
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| A Difficulty with Egalitarianism | |
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| Competitive Allocations | |
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| The Equity of Competitive Allocation | |
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| The Competitive Standard of Comparison | |
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| Enlarging the Pie | |
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| An Application: Assigning Students to Dormitories | |
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| Restricting the Domain of Exchange | |
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| Conclusion | |
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| Appendix: The Mathematical Theory of Equity | |
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| Two Fundamental Principles | |
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| Zero-One Allocations | |
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| Opinion Aggregation | |
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| Integer Allocation | |
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| Claims and Liabilities | |
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| Cooperative Games | |
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| Bargaining | |
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| Multiple Goods | |
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| Bibliographical Notes | |
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| Bibliography | |
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| Index | |