Filling a multicolor urn: An axiomatic analysis

Games and Economic Behavior

Volumn 45, Issue 1, 2003, Pages 242-269

  Moulin, Hervé ^a   Stong, Richard ^a  

^a RICE UNIVERSITY   (United States)

Author keywords

Consistency; Markovian; Polya Eggenberger methods; Urn filling methods

Indexed keywords

EID: 0141726786     PISSN: 08998256     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0899-8256(03)00129-5     Document Type: Article

References (17)

1. Aumann, R.J., Maschler, M., 1985. Game theoretic analysis of a bankruptcy problem from the Talmud. J. Econ. Theory 36, 195-213.
2. Banker, R., 1981. Equity considerations in traditional full cost allocation practices: an axiomatic perspective. In: Moriarty, S. (Ed.), Joint Cost Allocations. Univ. of Oklahoma Press, Oklahoma City, pp. 110-130.
3. Billingsley, P., 1995. Probability and Measure. Wiley, New York.
4. Chun, Y., 1989. A non-cooperative justification for egalitarian surplus-sharing. Math. Soc. Sci. 17, 245-261.
5. De Frutos, M.A., 1999. Coalitional manipulations in a bankruptcy problem. Rev. Econ. Design 4, 255-272.
6. Herrero, C., Maschler, M., Villar, A., 1999. Individual rights and collective responsibility: the rights egalitarian solution. Math. Soc. Sci. 37, 59-77.
7. Johnson, N., Kotz, S., 1977. Urn Models and their Applications. Wiley, New York.
8. Moulin, H., 1987. Equal or proportional division of a surplus, and other methods. Int. J. Game Theory 63, 161-186.
9. Moulin, H., 2000. Priority rules and other asymmetric rationing methods. Econometrica 683, 643-684.
10. Moulin, H., 2002. The proportional random allocation of indivisible units. Soc. Choice Welfare 19 (2), 381-413.
11. Moulin, H., Stong, R., 2002. Fair queuing and other probabilistic allocation methods. Math. Operations Res. 27 (1), 1-30.
12. O'Neill, B., 1982. A problem of rights arbitration from the Talmud. Math. Soc. Sci. 2, 345-371.
13. Sasaki, H., 1996. Randomized uniform allocation mechanism and single-peaked preferences of indivisible good. Mimeo. Waseda University, Japan.
14. Sprumont, Y., 1991. The division problem with single-peaked preferences: A characterization of the uniform allocation rule. Econometrica 59 (2), 509-519.
15. Thomson, W., 2003. Axiomatic and game-theoretic analyses of bankruptcy and taxation problems: a survey. Math. Soc. Sci. 45, 249-297.
16. Young, H.P., 1987. On dividing an amount according to individual claims or liabilities. Math. Operations Res., (1, 2, 3), 398-414.
17. Young, H.P., 1988. Distributive justice in taxation. J. Econ. Theory 48, 331-335.