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Externalities and compensation: Primeval games and solutions

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  • Ju, Y.

    (Tilburg University)

  • Borm, P.E.M.

    (Tilburg University)

Abstract

The classical literature (Pigou (1920), Coase (1960), Arrow (1970)) and the relatively recent studies (cf. Varian (1994)) associate the externality problem with efficiency. This paper focuses explicitly on the compensation problem in the context of externalities. To capture the features of inter-individual externalities, this paper constructs a new game-theoretic framework: primeval games. These games are used to design normative compensation rules for the underlying compensation problems: the marginalistic rule, the concession rule, and the primeval rule. Characterizations of the marginalistic rule and the concession rule are provided and specific properties of the primeval rule are studied.

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Bibliographic Info

Paper provided by Tilburg University in its series Open Access publications from Tilburg University with number urn:nbn:nl:ui:12-303498.

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Date of creation: 2008
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Publication status: Published in Journal of Mathematical Economics (2008) v.44, p.367-382
Handle: RePEc:ner:tilbur:urn:nbn:nl:ui:12-303498

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Web page: http://www.tilburguniversity.edu/

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  1. Yuan Ju, 2007. "The Consensus Value For Games In Partition Function Form," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(03), pages 437-452.
  2. Yuan Ju & David Wettstein, 2006. "Implementing Cooperative Solution Concepts: a Generalized Bidding Approach," Keele Economics Research Papers KERP 2006/06, Centre for Economic Research, Keele University.
  3. Varian, H,R., 1991. "A Solution to the Problem of Externalities when Agents are Well-Informed," Papers 10, Michigan - Center for Research on Economic & Social Theory.
  4. Kim Hang Pham Do & Henk Norde, 2007. "The Shapley Value For Partition Function Form Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(02), pages 353-360.
  5. Yuan Ju & Peter Borm, 2006. "A Non-cooperative Approach to the Compensation Rules for Primeval Games," Keele Economics Research Papers KERP 2006/18, Centre for Economic Research, Keele University.
  6. Bolger, E M, 1989. "A Set of Axioms for a Value for Partition Function Games," International Journal of Game Theory, Springer, vol. 18(1), pages 37-44.
  7. Ju, Y. & Borm, P.E.M. & Ruys, P.H.M., 2007. "The consensus value: A new solution concept for cooperative games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-195202, Tilburg University.
  8. Inés Macho-Stadler & David Pérez-Castrillo & David Wettstein, 2004. "Sharing the surplus: A just and efficient proposal for environments with externalities," Working Papers 119, Barcelona Graduate School of Economics.
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Cited by:
  1. Yuan Ju & Peter Borm, 2006. "A Non-cooperative Approach to the Compensation Rules for Primeval Games," Keele Economics Research Papers KERP 2006/18, Centre for Economic Research, Keele University.
  2. Yuan Ju & David Wettstein, 2006. "Implementing Cooperative Solution Concepts: a Generalized Bidding Approach," Keele Economics Research Papers KERP 2006/06, Centre for Economic Research, Keele University.
  3. Ju, Y. & Borm, P.E.M. & Ruys, P.H.M., 2004. "The Consensus Value: A New Solution Concept for Cooperative Games," Discussion Paper 2004-50, Tilburg University, Center for Economic Research.

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