Market representations of $n$-person games
HTML articles powered by AMS MathViewer
- by Louis J. Billera and Robert E. Bixby PDF
- Bull. Amer. Math. Soc. 80 (1974), 522-526
References
- K. J. Arrow, E. W. Barankin, and D. Blackwell, Admissible points of convex sets, Contributions to the theory of games, vol. 2, Annals of Mathematics Studies, no. 28, Princeton University Press, Princeton, N.J., 1953, pp. 87–91. MR 0054919
- Louis J. Billera, On games without side payments arising from a general class of markets, J. Math. Econom. 1 (1974), no. 2, 129–139. MR 424197, DOI 10.1016/0304-4068(74)90004-4
- Louis J. Billera and Robert E. Bixby, A characterization of Pareto surfaces, Proc. Amer. Math. Soc. 41 (1973), 261–267. MR 325163, DOI 10.1090/S0002-9939-1973-0325163-1
- L. J. Billera and R. E. Bixby, A characterization of polyhedral market games, Internat. J. Game Theory 2 (1973), 253–261. MR 373645, DOI 10.1007/BF01737574
- Gerard Debreu, Theory of value: an axiomatic analysis of economic equilibrium, Cowles Foundation for Research in Economics at Yale University, Monograph 17, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1959. MR 0110571 6. E. Kalai. Cooperative non-sidepayment games: extensions of sidepayment game solutions, metrics, and representative functions, Ph.D. thesis, Cornell University, Ithaca, N.Y., 1972.
- Trout Rader, Theory of microeconomics, Academic Press, New York-London, 1972. MR 0408772 8. H. Scarf, The core of an N-person game, Cowles Foundation, Discussion Paper No. 182, New Haven, Conn., March 23, 1965 (unpublished).
- Herbert E. Scarf, The core of an $N$ person game, Econometrica 35 (1967), 50–69. MR 234735, DOI 10.2307/1909383
- Lloyd S. Shapley and Martin Shubik, On market games, J. Econom. Theory 1 (1969), 9–25 (1970). MR 395881, DOI 10.1016/0022-0531(69)90008-8
Additional Information
- Journal: Bull. Amer. Math. Soc. 80 (1974), 522-526
- MSC (1970): Primary 90D12, 90A15
- DOI: https://doi.org/10.1090/S0002-9904-1974-13478-6
- MathSciNet review: 0416621