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A Characterization of the Shapley Value in Queueing Problems

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  • Maniquet, F.

Abstract

A set of agents stand to receive a service. No two agents can be served simultaneously. A Queue has been organized, and agents having to wait should receive monetary compensations. We characterize the rule assigning positions in the queue and compensations corresponding to the payoffs recommended by the Shapley value of the associated cooperative game.

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Bibliographic Info

Paper provided by Notre-Dame de la Paix, Sciences Economiques et Sociales in its series Papers with number 222.

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Length: 15 pages
Date of creation: 2000
Date of revision:
Handle: RePEc:fth:nodapa:222

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Postal: FACULTE UNIVERSITAIRE NOTRE-DAME DE LA PAIX, FACULTE DES SCIENCES ECONOMIQUES ET SOCIALES, RUE DE BRUXELLES NAMUR FRANCE.
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Keywords: GAME THEORY ; ECONOMIC MODELS;

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  1. Alkan, Ahmet & Demange, Gabrielle & Gale, David, 1991. "Fair Allocation of Indivisible Goods and Criteria of Justice," Econometrica, Econometric Society, vol. 59(4), pages 1023-39, July.
  2. Moulin, Herve, 1992. "An Application of the Shapley Value to Fair Division with Money," Econometrica, Econometric Society, vol. 60(6), pages 1331-49, November.
  3. Moulin, H., 1988. "Welfare Bounds In The Fair Division Problem," UFAE and IAE Working Papers 106-88, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  4. Roemer, John E, 1986. "Equality of Resources Implies Equality of Welfare," The Quarterly Journal of Economics, MIT Press, vol. 101(4), pages 751-84, November.
  5. Tadenuma, Koichi & Thomson, William, 1993. "The fair allocation of an indivisible good when monetary compensations are possible," Mathematical Social Sciences, Elsevier, vol. 25(2), pages 117-132, February.
  6. Jeroen Suijs, 1996. "On incentive compatibility and budget balancedness in public decision making," Review of Economic Design, Springer, vol. 2(1), pages 193-209, December.
  7. Tadenuma, Koichi & Thomson, William, 1991. "No-Envy and Consistency in Economies with Indivisible Goods," Econometrica, Econometric Society, vol. 59(6), pages 1755-67, November.
  8. Koichi Tadenuma, 1996. "Trade-off between equity and efficiency in a general economy with indivisible goods," Social Choice and Welfare, Springer, vol. 13(4), pages 445-450.
  9. Atila Abdulkadiroglu & Tayfun Sonmez, 1998. "Random Serial Dictatorship and the Core from Random Endowments in House Allocation Problems," Econometrica, Econometric Society, vol. 66(3), pages 689-702, May.
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