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The transfer paradox in welfare space

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  • Thomas Demuynck
  • Bram De Rock
  • Victor Ginsburgh

Abstract

The transfer paradox describes a situation in which a transfer of endowments between two agents results in a welfare decrease for the recipient and a welfare increase for the donor. It is known that in a two-agent regular exchange economy with an arbitrary number of goods, the transfer paradox occurs only if the price equilibrium is unstable. In this paper, we show that in the space of welfare weights, the set of stable equilibria and the set of no-transfer paradox equilibria coincide. As a corollary we also obtain that for two agents and an arbitrary number of goods, the index of an equilibrium in price space coincides with its index in welfare space.
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  • Thomas Demuynck & Bram De Rock & Victor Ginsburgh, 2016. "The transfer paradox in welfare space," ULB Institutional Repository 2013/251993, ULB -- Universite Libre de Bruxelles.
    • Handle: RePEc:ulb:ulbeco:2013/251993
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    1. Dragan, I. & Potters, J.A.M. & Tijs, S.H., 1989. "Superadditivity for solutions of coalitional games," Other publications TiSEM 283e2594-e3a0-418d-ae5e-2, Tilburg University, School of Economics and Management.
    2. René Brink & Gerard Laan & Valeri Vasil’ev, 2014. "Constrained core solutions for totally positive games with ordered players," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(2), pages 351-368, May.
    3. Polemarchakis, H M, 1983. "On the Transer Paradox," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(3), pages 749-760, October.
    4. Maniquet, Francois, 2003. "A characterization of the Shapley value in queueing problems," Journal of Economic Theory, Elsevier, vol. 109(1), pages 90-103, March.
    5. Monderer, Dov & Samet, Dov & Shapley, Lloyd S, 1992. "Weighted Values and the Core," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(1), pages 27-39.
    6. Bhagwati, Jagdish N & Brecher, Richard A & Hatta, Tatsuo, 1983. "The Generalized Theory of Transfers and Welfare: Bilateral Transfers in a Multilateral World," American Economic Review, American Economic Association, vol. 73(4), pages 606-618, September.
    7. Mantel, Rolf R, 1971. "The Welfare Adjustment Process: Its Stability Properties," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 12(3), pages 415-430, October.
    8. Haeringer, Guillaume, 2006. "A new weight scheme for the Shapley value," Mathematical Social Sciences, Elsevier, vol. 52(1), pages 88-98, July.
    9. Pierre Dehez & Daniela Tellone, 2013. "Data Games: Sharing Public Goods with Exclusion," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 15(4), pages 654-673, August.
    10. Jean Derks & Gerard Laan & Valery Vasil’ev, 2006. "Characterizations of the Random Order Values by Harsanyi Payoff Vectors," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 64(1), pages 155-163, August.
    11. Safra, Zvi, 1984. "On the frequency of the transfer paradox," Economics Letters, Elsevier, vol. 15(3-4), pages 209-212.
    12. Billot, Antoine & Thisse, Jacques-Francois, 2005. "How to share when context matters: The Mobius value as a generalized solution for cooperative games," Journal of Mathematical Economics, Elsevier, vol. 41(8), pages 1007-1029, December.
    13. Jean Derks & Gerard Laan & Valery Vasil’ev, 2010. "On the Harsanyi payoff vectors and Harsanyi imputations," Theory and Decision, Springer, vol. 68(3), pages 301-310, March.
    14. Fujita,Masahisa & Thisse,Jacques-François, 2013. "Economics of Agglomeration," Cambridge Books, Cambridge University Press, number 9781107001411.
    15. Ginsburgh, Victor & Waelbroeck, Jean, 1979. "A Note on the Simultaneous Stability of Tatonnement Processes for Computing Equilibria," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 20(2), pages 367-380, June.
    16. Geanakoplos, John & Heal, Geoffrey, 1983. "A geometric explanation of the transfer paradox in a stable economy," Journal of Development Economics, Elsevier, vol. 13(1-2), pages 223-236.
    17. Peleg, B, 1986. "On the Reduced Game Property and Its Converse," International Journal of Game Theory, Springer;Game Theory Society, vol. 15(3), pages 187-200.
    18. Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
    19. Chichilnisky, Graciela, 1980. "Basic goods, the effects of commodity transfers and the international economic order," Journal of Development Economics, Elsevier, vol. 7(4), pages 505-519, December.
    20. Guillermo Owen, 1968. "Communications to the Editor--A Note on the Shapley Value," Management Science, INFORMS, vol. 14(11), pages 731-731, July.
    21. Dixit, Avinash, 1983. "The multi-country transfer problem," Economics Letters, Elsevier, vol. 13(1), pages 49-53.
    22. René Brink & Gerard Laan & Vitaly Pruzhansky, 2011. "Harsanyi power solutions for graph-restricted games," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(1), pages 87-110, February.
    23. Dehez, Pierre & Ferey, Samuel, 2013. "How to share joint liability: A cooperative game approach," Mathematical Social Sciences, Elsevier, vol. 66(1), pages 44-50.
    24. Gale, David, 1974. "Exchange equilibrium and coalitions : An example," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 63-66, March.
    25. Hindriks, Jean & Myles, Gareth D., 2013. "Intermediate Public Economics," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262018691, April.
    26. Balasko, Yves, 1975. "Some results on uniqueness and on stability of equilibrium in general equilibrium theory," Journal of Mathematical Economics, Elsevier, vol. 2(2), pages 95-118.
    27. Srinivasan, T. N. & Bhagwati, Jagdish N., 1983. "On transfer paradoxes and immiserizing growth: Part I : Comment," Journal of Development Economics, Elsevier, vol. 13(1-2), pages 217-222.
    28. Pierre Dehez, 2011. "Allocation Of Fixed Costs: Characterization Of The (Dual) Weighted Shapley Value," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 13(02), pages 141-157.
    29. ,, 2014. "The transfer problem: A complete characterization," Theoretical Economics, Econometric Society, vol. 9(2), May.
    30. Majumdar, Mukul & Mitra, Tapan, 1985. "A result on the transfer problem in international trade theory," Journal of International Economics, Elsevier, vol. 19(1-2), pages 161-170, August.
    31. Balasko, Yves, 1978. "The Transfer Problem and the Theory of Regular Economies," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(3), pages 687-694, October.
    32. S. C. Littlechild & G. Owen, 1973. "A Simple Expression for the Shapley Value in a Special Case," Management Science, INFORMS, vol. 20(3), pages 370-372, November.
    33. Derks, Jean, 2005. "A new proof for Weber's characterization of the random order values," Mathematical Social Sciences, Elsevier, vol. 49(3), pages 327-334, May.
    34. Balasko, Yves, 1992. "The set of regular equilibria," Journal of Economic Theory, Elsevier, vol. 58(1), pages 1-8, October.
    35. Ichiishi, Tatsuro, 1981. "Super-modularity: Applications to convex games and to the greedy algorithm for LP," Journal of Economic Theory, Elsevier, vol. 25(2), pages 283-286, October.
    36. Jean Derks & Hans Haller & Hans Peters, 2000. "The selectope for cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(1), pages 23-38.
    37. Postlewaite, Andrew & Webb, Michael, 1984. "The possibility of recipient-harming, donor-benefiting transfers with more than two countries," Journal of International Economics, Elsevier, vol. 16(3-4), pages 357-364, May.
    38. Kannai, Yakar, 1992. "The core and balancedness," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 12, pages 355-395, Elsevier.
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    Cited by:

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    2. Ram Sewak Dubey & Minwook Kang, 2019. "Transfer paradox in a stable equilibrium," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 259-269, December.
    3. Chambers, Christopher P. & Moreno-Ternero, Juan D., 2021. "Bilateral redistribution," Journal of Mathematical Economics, Elsevier, vol. 96(C).
    4. Wolsey, L.A., 2015. "Uncapacitated Lot-Sizing with Stock Upper Bounds, Stock Fixed Costs, Stock Overloads and Backlogging: A Tight Formulation," LIDAM Discussion Papers CORE 2015041, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Queyranne, M. & Wolsey, L.A., 2015. "Modeling poset convex subsets," LIDAM Discussion Papers CORE 2015049, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Decerf, B., 2015. "A new index combining the absolute and relative aspects of income poverty: Theory and application," LIDAM Discussion Papers CORE 2015050, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

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    More about this item

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D60 - Microeconomics - - Welfare Economics - - - General

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