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Linear cost share equilibria and the veto power of the grand coalition

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  • Maria Graziano
  • Maria Romaniello

Abstract

We consider pure exchange economies with finitely many private goods involving the choice of a public project. We discuss core-equivalence results in the general framework of non-Euclidean representation of the collective goods. We define a contribution scheme to capture the fraction of the total cost of providing the project that each blocking coalition is expected to cover. We show that for each given contribution scheme defined over the wider class of Aubin coalitions, the resulting core is equivalent to the corresponding linear cost share equilibria. We also characterize linear cost share equilibria in terms of the veto power of the grand coalition. It turns out that linear cost share equilibria are exactly those allocations that cannot be blocked by the grand coalition with reference to auxiliary economies with the same space of agents and modified initial endowments and cost functions. Unlike the Aubin-type equivalence, this characterization does not depend on a particular contribution scheme.
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  • Maria Graziano & Maria Romaniello, 2012. "Linear cost share equilibria and the veto power of the grand coalition," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(2), pages 269-303, February.
  • Handle: RePEc:spr:sochwe:v:38:y:2012:i:2:p:269-303
    DOI: 10.1007/s00355-010-0529-7
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    Cited by:

    1. Bhowmik, Anuj, 2022. "On The Core Of An Economy With Arbitrary Consumption Sets And Asymmetric Information," MPRA Paper 115795, University Library of Munich, Germany.
    2. Erik Alex Papa Quiroz & Nancy Baygorrea Cusihuallpa & Nelson Maculan, 2020. "Inexact Proximal Point Methods for Multiobjective Quasiconvex Minimization on Hadamard Manifolds," Journal of Optimization Theory and Applications, Springer, vol. 186(3), pages 879-898, September.
    3. Achille Basile & Robert P. Gilles & Maria Gabriella Graziano & Marialaura Pesce, 2021. "The Core of economies with collective goods and a social division of labour," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(3), pages 1085-1119, April.
    4. Bhowmik, Anuj & Saha, Sandipan, 2022. "On blocking mechanisms in economies with club goods," MPRA Paper 114928, University Library of Munich, Germany.
    5. Gilles, Robert P. & Pesce, Marialaura & Diamantaras, Dimitrios, 2020. "The provision of collective goods through a social division of labour," Journal of Economic Behavior & Organization, Elsevier, vol. 178(C), pages 287-312.
    6. Anuj Bhowmik & Japneet Kaur, 2022. "Competitive equilibria and robust efficiency with club goods," Indira Gandhi Institute of Development Research, Mumbai Working Papers 2022-014, Indira Gandhi Institute of Development Research, Mumbai, India.
    7. Maria Gabriella Graziano & Maria Romaniello, 2016. "Stable sets of allocations and the provision of public goods," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(1), pages 15-42, June.
    8. Achille Basile & Maria Gabriella Graziano & Marialaura Pesce, 2016. "Oligopoly And Cost Sharing In Economies With Public Goods," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 57(2), pages 487-506, May.
    9. Bhowmik, Anuj & Kaur, Japneet, 2023. "Competitive equilibria and robust efficiency with club goods," Journal of Mathematical Economics, Elsevier, vol. 108(C).
    10. Maria Gabriella Graziano & Marialaura Pesce & Maria Romaniello, 2021. "Two characterizations of Cost Share Equilibria," CSEF Working Papers 628, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy, revised 24 May 2023.

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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
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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