KENNETH J. ARROW is Joan Kennedy Professor of Economics Emeritus and Professor of Operations Research Emeritus at Stanford University. He has been President of the American Economic Association and the International Economic Association and has received the Nobel Memorial Prize in Economic Science.AMARTYA SEN is Lamont University Professor at Harvard University, and also Professor of Economics and Philosophy there. Previously he was the Drummond Professor of Political Economy at Oxford and, earlier, Professor of Economics at the London School of Economics, Delhi University and Jadavpur University. His publications include Collective Choice and Social Welfare; Choice; Welfare and Measurement; Poverty and Famines; On Ethics and Economics; and Inequality Reexamined, among others. He is past president of the Econometric Society, the International Economic Association, the Indian Economic Association and the American Economic Association.KOTARO SUZUMURA is Professor of Economic Systems Analysis at the Institute of Economic Research, Hitotsubashi University. He has taught at the London School of Economics, Stanford University, the Australian National University, the University of Pennsylvania, the University of British Columbia and, intermittently, at Kyoto University. He is a Fellow of the Econometric Society and Chief Editor of the Japanese Economic Review. He has published widely in professional journals including American Economic Review, Economica, Economic Theory, International Economic Review, the Journal of Economic Theory, the Journal of Public Economics and the Review of Economic Studies in the area of social choice, welfare economics and theoretical industrial organisation. He is also the author of Rational Choice, Collective Decisions and Social Welfare and Competition, Commitment and Welfare and is co-author of Economic Analysis of Industrial Policy.

• VOLUME 1 Acknowledgements - Abbreviations and Acronyms - Notes on the Contributors - Introduction; K.J.Arrow - PART 1: THE NATURE AND ROLE OF SOCIAL CHOICE THEORY - The Functions of Social Choice Theory; K.J.Arrow - Discussion; W.Gaertner - Individual Preference as the Basis of Social Choice ; A.Sen - Discussion; L.Gevers - PART 2: THE STRUCTURE OF SOCIAL CHOICE AND IMPOSSIBILITY THEOREMS - Voting Models in the Arrovian Framework; F.Aleskerov - Discussion; N.Schofield - Arrovian Social Choice on Economic Domains; M.Le Breton - Axiomatic Analysis of Resource Allocation; H.Moulin & W.Thomson - A Unified Perspective on Resource Allocation: Limited Arbitrage is Necessary and Sufficient for the Existence of a Competitive Equilibrium, the Core and Social Choice; G.Chichilnisky - Discussion; N.Baigent - The Possibility-Impossibility Boundary in Social Choice; D.Campbell & J.Kelly - Index. VOLUME 2 MANIPULATION AND IMPLEMENTATION - Reasonable Mechanisms and Nash Implementation; B.Dutta - Discussion; B.Peleg - Notes on Strategy: Proof Social Choice Functions; S.Barbera - Discussion; H.Moulin - PART 2: FOUNDATIONS AND IMPLICATIONS OF RIGHTS - Foundations and Implications of Rights; C.Seid l - Discussion; G.Orose l - Game Forms versus Social Choice Rules as Models of Rights; P.Hammond - Discussion; R.Deb - On Modelling Individual Rights: Some Conceptual Issues; P.Pattanaik - Discussion; M.Salles - PART 3: SOCIAL CHOICE AND SOCIAL JUSTICE - Intertemporally Consistent Population Ethics: Classical Utilitarian Principles; C.Blackorby, W.Bossert & D.Donaldson - Discussion; W.Thomson - Rational just Social Change; S-C.Kolm - Discussion; J.Weymark - Interpersonal Comparisons of the Extended Sympathy Type and the Possibility of Social Choice; K.Suzumura - Discussion; K.Roberts - Index

KENNETH J. ARROW is Joan Kennedy Professor of Economics Emeritus and Professor of Operations Research Emeritus at Stanford University. He has been President of the American Economic Association and the International Economic Association and has received the Nobel Memorial Prize in Economic Science.AMARTYA SEN is Lamont University Professor at Harvard University, and also Professor of Economics and Philosophy there. Previously he was the Drummond Professor of Political Economy at Oxford and, earlier, Professor of Economics at the London School of Economics, Delhi University and Jadavpur University. His publications include Collective Choice and Social Welfare; Choice; Welfare and Measurement; Poverty and Famines; On Ethics and Economics; and Inequality Reexamined, among others. He is past president of the Econometric Society, the International Economic Association, the Indian Economic Association and the American Economic Association.KOTARO SUZUMURA is Professor of Economic Systems Analysis at the Institute of Economic Research, Hitotsubashi University. He has taught at the London School of Economics, Stanford University, the Australian National University, the University of Pennsylvania, the University of British Columbia and, intermittently, at Kyoto University. He is a Fellow of the Econometric Society and Chief Editor of the Japanese Economic Review. He has published widely in professional journals including American Economic Review, Economica, Economic Theory, International Economic Review, the Journal of Economic Theory, the Journal of Public Economics and the Review of Economic Studies in the area of social choice, welfare economics and theoretical industrial organisation. He is also the author of Rational Choice, Collective Decisions and Social Welfare and Competition, Commitment and Welfare and is co-author of Economic Analysis of Industrial Policy.

• VOLUME 1 Acknowledgements - Abbreviations and Acronyms - Notes on the Contributors - Introduction; K.J.Arrow - PART 1: THE NATURE AND ROLE OF SOCIAL CHOICE THEORY - The Functions of Social Choice Theory; K.J.Arrow - Discussion; W.Gaertner - Individual Preference as the Basis of Social Choice ; A.Sen - Discussion; L.Gevers - PART 2: THE STRUCTURE OF SOCIAL CHOICE AND IMPOSSIBILITY THEOREMS - Voting Models in the Arrovian Framework; F.Aleskerov - Discussion; N.Schofield - Arrovian Social Choice on Economic Domains; M.Le Breton - Axiomatic Analysis of Resource Allocation; H.Moulin & W.Thomson - A Unified Perspective on Resource Allocation: Limited Arbitrage is Necessary and Sufficient for the Existence of a Competitive Equilibrium, the Core and Social Choice; G.Chichilnisky - Discussion; N.Baigent - The Possibility-Impossibility Boundary in Social Choice; D.Campbell & J.Kelly - Index. VOLUME 2 MANIPULATION AND IMPLEMENTATION - Reasonable Mechanisms and Nash Implementation; B.Dutta - Discussion; B.Peleg - Notes on Strategy: Proof Social Choice Functions; S.Barbera - Discussion; H.Moulin - PART 2: FOUNDATIONS AND IMPLICATIONS OF RIGHTS - Foundations and Implications of Rights; C.Seid l - Discussion; G.Orose l - Game Forms versus Social Choice Rules as Models of Rights; P.Hammond - Discussion; R.Deb - On Modelling Individual Rights: Some Conceptual Issues; P.Pattanaik - Discussion; M.Salles - PART 3: SOCIAL CHOICE AND SOCIAL JUSTICE - Intertemporally Consistent Population Ethics: Classical Utilitarian Principles; C.Blackorby, W.Bossert & D.Donaldson - Discussion; W.Thomson - Rational just Social Change; S-C.Kolm - Discussion; J.Weymark - Interpersonal Comparisons of the Extended Sympathy Type and the Possibility of Social Choice; K.Suzumura - Discussion; K.Roberts - Index