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Aggregating Infinite Utility Streams with InterGenerational Equity: The Impossibility of Being Paretian

Citations

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Cited by:

  1. José Carlos R. Alcantud, 2013. "The impossibility of social evaluations of infinite streams with strict inequality aversion," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(2), pages 123-130, November.
  2. Dubey, Ram Sewak & Laguzzi, Giorgio & Ruscitti, Francesco, 2021. "On social welfare orders satisfying anonymity and asymptotic density-one Pareto," Mathematical Social Sciences, Elsevier, vol. 111(C), pages 26-33.
  3. Bastianello, Lorenzo & Chateauneuf, Alain, 2016. "About delay aversion," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 62-77.
  4. repec:ipg:wpaper:2 is not listed on IDEAS
  5. Alcantud, José Carlos R., 2012. "Inequality averse criteria for evaluating infinite utility streams: The impossibility of Weak Pareto," Journal of Economic Theory, Elsevier, vol. 147(1), pages 353-363.
  6. Cairns, Robert D. & Del Campo, Stellio & Martinet, Vincent, 2019. "Sustainability of an economy relying on two reproducible assets," Journal of Economic Dynamics and Control, Elsevier, vol. 101(C), pages 145-160.
  7. Geir B. Asheim & Kuntal Banerjee & Tapan Mitra, 2021. "How stationarity contradicts intergenerational equity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(2), pages 423-444, September.
  8. Basu, Kaushik & Mitra, Tapan, 2005. "Possibility Theorems for Aggregating Infinite Utility Streams Equitably," Working Papers 05-05, Cornell University, Center for Analytic Economics.
  9. Geir B. Asheim & Tapan Mitra & Bertil Tungodden, 2016. "Sustainable Recursive Social Welfare Functions," Studies in Economic Theory, in: Graciela Chichilnisky & Armon Rezai (ed.), The Economics of the Global Environment, pages 165-190, Springer.
  10. Dubey, Ram Sewak, 2016. "A Note On Social Welfare Orders Satisfying Pigou-Dalton Transfer Principle," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 57(2), pages 243-262, December.
  11. Alain Ayong Le Kama & Cuong Le Van & Katheline Schubert, 2008. "A Non-dictatorial Criterion for Optimal Growth Models," Working Papers 14, Development and Policies Research Center (DEPOCEN), Vietnam.
  12. Claude, d’ASPREMONT, 2005. "Formal welfarism and intergenerational equity," Discussion Papers (ECON - Département des Sciences Economiques) 2005051, Université catholique de Louvain, Département des Sciences Economiques.
  13. Neyman, Abraham, 2023. "Additive valuations of streams of payoffs that satisfy the time value of money principle: characterization and robust optimization," Theoretical Economics, Econometric Society, vol. 18(1), January.
  14. Geir Asheim & Walter Bossert & Yves Sprumont & Kotaro Suzumura, 2010. "Infinite-horizon choice functions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(1), pages 1-21, April.
  15. Walter Bossert & Kotaro Suzumura, 2011. "Multi-profile intergenerational social choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(3), pages 493-509, September.
  16. Asheim, Geir B. & Mitra, Tapan, 2010. "Sustainability and discounted utilitarianism in models of economic growth," Mathematical Social Sciences, Elsevier, vol. 59(2), pages 148-169, March.
  17. Alcantud, José C.R. & García-Sanz, María D., 2010. "Paretian evaluation of infinite utility streams: An egalitarian criterion," Economics Letters, Elsevier, vol. 106(3), pages 209-211, March.
  18. MERTENS, Jean-François & RUBINCHIK, Anna, 2006. "Intergenerational equity and the discount rate for cost-benefit analysis," LIDAM Discussion Papers CORE 2006091, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  19. Lauwers, Luc, 2010. "Ordering infinite utility streams comes at the cost of a non-Ramsey set," Journal of Mathematical Economics, Elsevier, vol. 46(1), pages 32-37, January.
  20. Zuber, Stéphane & Asheim, Geir B., 2012. "Justifying social discounting: The rank-discounted utilitarian approach," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1572-1601.
  21. Jonsson, Adam & Voorneveld, Mark, 2014. "Utilitarianism for infinite utility streams: summable differences and finite averages," SSE/EFI Working Paper Series in Economics and Finance 747, Stockholm School of Economics, revised 15 Apr 2014.
  22. Ha-Huy, Thai & Nguyen, Thi Tuyet Mai, 2022. "Saving and dissaving under Ramsey–Rawls criterion," Journal of Mathematical Economics, Elsevier, vol. 103(C).
  23. Marcus Pivato, 2014. "Additive representation of separable preferences over infinite products," Theory and Decision, Springer, vol. 77(1), pages 31-83, June.
  24. Alcantud, José Carlos R., 2010. "The compromise efficiency vs. egalitarianism among generations with an infinite horizon," MPRA Paper 22284, University Library of Munich, Germany.
  25. Alain Ayong Le Kama & Thai Ha-Huy & Cuong Le Van & Katheline Schubert, 2014. "A never-decisive and anonymous criterion for optimal growth models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(2), pages 281-306, February.
  26. Charles Figuières & Mabel Tidball, 2016. "Sustainable Exploitation of a Natural Resource: A Satisfying Use of Chichilnisky’s Criterion," Studies in Economic Theory, in: Graciela Chichilnisky & Armon Rezai (ed.), The Economics of the Global Environment, pages 207-229, Springer.
  27. Dubey, Ram Sewak & Laguzzi, Giorgio & Ruscitti, Francesco, 2020. "On the representation and construction of equitable social welfare orders," Mathematical Social Sciences, Elsevier, vol. 107(C), pages 17-22.
  28. Susumu Cato, 2019. "The possibility of Paretian anonymous decision-making with an infinite population," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(4), pages 587-601, December.
  29. Geir Asheim & Stéphane Zuber, 2013. "A complete and strongly anonymous leximin relation on infinite streams," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 819-834, October.
  30. Khan, Urmee & Stinchcombe, Maxwell B., 2018. "Planning for the long run: Programming with patient, Pareto responsive preferences," Journal of Economic Theory, Elsevier, vol. 176(C), pages 444-478.
  31. Alvarez-Cuadrado, Francisco & Van Long, Ngo, 2009. "A mixed Bentham-Rawls criterion for intergenerational equity: Theory and implications," Journal of Environmental Economics and Management, Elsevier, vol. 58(2), pages 154-168, September.
  32. Ram Dubey & Tapan Mitra, 2014. "Combining monotonicity and strong equity: construction and representation of orders on infinite utility streams," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(3), pages 591-602, October.
  33. Asheim, Geir B. & Kamaga, Kohei & Zuber, Stéphane, 2022. "Maximal sensitivity under Strong Anonymity," Journal of Mathematical Economics, Elsevier, vol. 103(C).
  34. Michele Lombardi & Kaname Miyagishima & Roberto Veneziani, 2016. "Liberal Egalitarianism and the Harm Principle," Economic Journal, Royal Economic Society, vol. 126(597), pages 2173-2196, November.
  35. Jean-Pierre Drugeon & Thai Ha Huy, 2022. "A not so myopic axiomatization of discounting," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(1), pages 349-376, February.
  36. Banerjee, Kuntal, 2017. "Suppes–Sen maximality of cyclical consumption: The neoclassical growth model," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 51-65.
  37. Ha-Huy, Thai, 2022. "A tale of two Rawlsian criteria," Mathematical Social Sciences, Elsevier, vol. 118(C), pages 30-35.
  38. Mertens, Jean-François & Rubinchik, Anna, 2012. "Intergenerational Equity And The Discount Rate For Policy Analysis," Macroeconomic Dynamics, Cambridge University Press, vol. 16(1), pages 61-93, February.
  39. Mariotti, Marco & Veneziani, Roberto, 2012. "Allocating chances of success in finite and infinite societies: The utilitarian criterion," Journal of Mathematical Economics, Elsevier, vol. 48(4), pages 226-236.
  40. Dutta, Bhaskar, 2007. "Some Remarks on the Ranking of Infinite Utility Streams," Economic Research Papers 269768, University of Warwick - Department of Economics.
  41. Rebille, Yann, 2007. "Patience in some non-additive models," Journal of Mathematical Economics, Elsevier, vol. 43(6), pages 749-763, August.
  42. Castellano, Rosella & Cerqueti, Roy & Spinesi, Luca, 2016. "Sustainable management of fossil fuels: A dynamic stochastic optimization approach with jump-diffusion," European Journal of Operational Research, Elsevier, vol. 255(1), pages 288-297.
  43. Banerjee, Kuntal & Dubey, Ram Sewak, 2014. "Do all constructive strongly monotone inter-temporal orders exhibit impatience?," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 66-69.
  44. Nicholas Stern, 2013. "Ethics, equity and the economics of climate change. Paper 2: Economics and Politics," GRI Working Papers 84b, Grantham Research Institute on Climate Change and the Environment.
  45. Marcus Pivato, 2015. "Social choice with approximate interpersonal comparison of welfare gains," Theory and Decision, Springer, vol. 79(2), pages 181-216, September.
  46. repec:ipg:wpaper:30 is not listed on IDEAS
  47. Geir B. Asheim, 2014. "Equitable intergenerational preferences and sustainability," Chapters, in: Giles Atkinson & Simon Dietz & Eric Neumayer & Matthew Agarwala (ed.), Handbook of Sustainable Development, chapter 8, pages 125-139, Edward Elgar Publishing.
  48. Asier Estevan & Roberto Maura & Oscar Valero, 2024. "Intergenerational Preferences and Continuity: Reconciling Order and Topology," Papers 2402.01699, arXiv.org.
  49. Banerjee, Kuntal & Dubey, Ram Sewak, 2013. "Impatience implication of weakly Paretian orders: Existence and genericity," Journal of Mathematical Economics, Elsevier, vol. 49(2), pages 134-140.
  50. Mitra, Tapan, 2004. "Intergenerational Equity and the Forest Management Problem," Working Papers 04-17, Cornell University, Center for Analytic Economics.
  51. José Carlos R. Alcantud & María D. García-Sanz, 2013. "Evaluations of Infinite Utility Streams: Pareto Efficient and Egalitarian Axiomatics," Metroeconomica, Wiley Blackwell, vol. 64(3), pages 432-447, July.
  52. Banerjee, Kuntal, 2006. "On the equity-efficiency trade off in aggregating infinite utility streams," Economics Letters, Elsevier, vol. 93(1), pages 63-67, October.
  53. Fleurbaey, Marc & Zuber, Stéphane, 2015. "Discounting, beyond utilitarianism," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 9, pages 1-52.
  54. Dubey, Ram Sewak & Mitra, Tapan, 2014. "On construction of equitable social welfare orders on infinite utility streams," Mathematical Social Sciences, Elsevier, vol. 71(C), pages 53-60.
  55. Kaname Miyagishima, 2015. "A Characterization Of The Rawlsian Social Ordering Over Infinite Utility Streams," Bulletin of Economic Research, Wiley Blackwell, vol. 67(3), pages 303-308, July.
  56. Basu, Kaushik & Mitra, Tapan, 2005. "On the Existence of Paretian Social Welfare Relations for Infinite Utility Streams with Extended Anonymity," Working Papers 05-06, Cornell University, Center for Analytic Economics.
  57. Y. Hossein Farzin & Ken-Ichi Akao, 2006. "When is it Optimal to Exhaust a Resource in a Finite Time?," Working Papers 2006.23, Fondazione Eni Enrico Mattei.
  58. Urmee Khan & Maxwell B Stinchcombe, 2016. "Planning for the Long Run: Programming with Patient, Pareto Responsive Preferences," Working Papers 201608, University of California at Riverside, Department of Economics.
  59. Cato, Susumu, 2023. "When is weak Pareto equivalent to strong Pareto?," Economics Letters, Elsevier, vol. 222(C).
  60. Tapan Mitra & M. Ozbek, 2013. "On representation of monotone preference orders in a sequence space," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(3), pages 473-487, September.
  61. Alcantud, José Carlos R., 2013. "Fuzzy sets from the ethics of social preferences," MPRA Paper 53549, University Library of Munich, Germany.
  62. Vincent Martinet, 2009. "Defining sustainability objectives," Working Papers hal-04140888, HAL.
  63. Juan Crespo & Carmelo Nuñez & Juan Rincón-Zapatero, 2009. "On the impossibility of representing infinite utility streams," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(1), pages 47-56, July.
  64. Jonsson, Adam & Voorneveld, Mark, 2018. "The limit of discounted utilitarianism," Theoretical Economics, Econometric Society, vol. 13(1), January.
  65. Geir B. Asheim, 2005. "Intergenerational Ethics under Resource Constraints," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 141(III), pages 313-330, September.
  66. Jean-Marc Bonnisseau & Alain Chateauneuf & Jean-Pierre Drugeon, 2023. "On Future Allocations of Scarce Resources without Explicit Discounting Factors," Documents de travail du Centre d'Economie de la Sorbonne 23004, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  67. Chichilnisky, Graciela & Hammond, Peter J. & Stern, Nicholas, 2018. "Should We Discount the Welfare of Future Generations? Ramsey and Suppes versus Koopmans and Arrow," CAGE Online Working Paper Series 386, Competitive Advantage in the Global Economy (CAGE).
  68. Adam Jonsson & Mark Voorneveld, 2015. "Utilitarianism on infinite utility streams: summable differences and finite averages," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(1), pages 19-31, April.
  69. Uyanik, Metin & Khan, M. Ali, 2022. "The continuity postulate in economic theory: A deconstruction and an integration," Journal of Mathematical Economics, Elsevier, vol. 101(C).
  70. Gerlagh, Reyer, 2017. "Generous Sustainability," Ecological Economics, Elsevier, vol. 136(C), pages 94-100.
  71. Asier Estevan & Roberto Maura & Óscar Valero, 2023. "Quasi-Metrics for Possibility Results: Intergenerational Preferences and Continuity," Mathematics, MDPI, vol. 11(2), pages 1-19, January.
  72. Ram Sewak Dubey & Tapan Mitra, 2011. "On equitable social welfare functions satisfying the Weak Pareto Axiom: A complete characterization," International Journal of Economic Theory, The International Society for Economic Theory, vol. 7(3), pages 231-250, September.
  73. Susumu Cato, 2013. "Quasi-decisiveness, quasi-ultrafilter, and social quasi-orderings," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(1), pages 169-202, June.
  74. Stern, Nicholas, 2014. "Ethics, equity and the economics of climate change paper 2: economics and politics," LSE Research Online Documents on Economics 62704, London School of Economics and Political Science, LSE Library.
  75. Kitti, Mitri, 2018. "Sustainable social choice under risk," Mathematical Social Sciences, Elsevier, vol. 94(C), pages 19-31.
  76. M. Ali Khan & Metin Uyanik, 2020. "Binary Relations in Mathematical Economics: On the Continuity, Additivity and Monotonicity Postulates in Eilenberg, Villegas and DeGroot," Papers 2007.01952, arXiv.org.
  77. Satoshi Nakano & Kazuhiko Nishimura, 2016. "Optimal Population in a Finite Horizon," Papers 1608.01535, arXiv.org, revised Jan 2018.
  78. Henrik Petri, 2019. "Asymptotic properties of welfare relations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(4), pages 853-874, June.
  79. Basu, Kaushik & Mitra, Tapan, 2007. "Utilitarianism for infinite utility streams: A new welfare criterion and its axiomatic characterization," Journal of Economic Theory, Elsevier, vol. 133(1), pages 350-373, March.
  80. Nicholas Stern, 2013. "EEthics, Equity and the Economics of Climate Change. Paper 1: Science and Philosophy," GRI Working Papers 84a, Grantham Research Institute on Climate Change and the Environment.
  81. Susumu Cato, 2009. "Characterizing the Nash social welfare relation for infinite utility streams: a note," Economics Bulletin, AccessEcon, vol. 29(3), pages 2372-2379.
  82. Ali Khan, M. & Piazza, Adriana, 2012. "On the Mitra–Wan forestry model: A unified analysis," Journal of Economic Theory, Elsevier, vol. 147(1), pages 230-260.
  83. BOSSERT, Walter & SPRUMONT, Yves & SUZUMURA, Kotaro, 2004. "The Possibility of Ordering Infinite Utility Streams," Cahiers de recherche 12-2004, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  84. Banerjee, Kuntal & Mitra, Tapan, 2004. "On the Continuity of Ethical Social Welfare Orders," Working Papers 04-16, Cornell University, Center for Analytic Economics.
  85. Kaushik Basu, 2009. "A Marketing Scheme for Making Money off Innocent People: A User’s Manual," Working Papers id:2341, eSocialSciences.
  86. Banerjee, Kuntal & Mitra, Tapan, 2007. "On the impatience implications of Paretian social welfare functions," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 236-248, April.
  87. repec:ipg:wpaper:2013-002 is not listed on IDEAS
  88. Adam Jonsson, 2023. "An axiomatic approach to Markov decision processes," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 97(1), pages 117-133, February.
  89. Susumu Cato, 2020. "Quasi-stationary social welfare functions," Theory and Decision, Springer, vol. 89(1), pages 85-106, July.
  90. Fleurbaey, Marc, 2015. "On sustainability and social welfare," Journal of Environmental Economics and Management, Elsevier, vol. 71(C), pages 34-53.
  91. Alcantud, José Carlos R. & Dubey, Ram Sewak, 2014. "Ordering infinite utility streams: Efficiency, continuity, and no impatience," Mathematical Social Sciences, Elsevier, vol. 72(C), pages 33-40.
  92. Dubey, Ram Sewak, 2011. "Fleurbaey–Michel conjecture on equitable weak Paretian social welfare order," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 434-439.
  93. Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2007. "Ordering infinite utility streams," Journal of Economic Theory, Elsevier, vol. 135(1), pages 579-589, July.
  94. Toyotaka Sakai, 2016. "Limit representations of intergenerational equity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(2), pages 481-500, August.
  95. Dubey, Ram Sewak & Laguzzi, Giorgio, 2021. "Equitable preference relations on infinite utility streams," Journal of Mathematical Economics, Elsevier, vol. 97(C).
  96. Sakamoto, Norihito & 坂本, 徳仁, 2011. "Impossibilities of Paretian Social Welfare Functions for Infinite Utility Streams with Distributive Equity," Discussion Papers 2011-09, Graduate School of Economics, Hitotsubashi University.
  97. Kaushik Basu, 2016. "Beyond the Invisible Hand: Groundwork for a New Economics," Economics Books, Princeton University Press, edition 1, number 9299.
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