Abstract
Lloyd Shapley is considered one of the pioneers of game theory. His most prominent contributions are the inception and study of value theory and core theory. These two theories are the key to solving problems involving the allocation of goods or payoffs achievable through cooperation. Shapley’s contributions have led to a broad range of important achievements, such as the exploration of stable solutions for matching and exchange, the measurement of power and a deeper understanding of market economies. His contributions to non-cooperative game theory include the introduction of stochastic games, strategic market games and potential games. Shapley shared with Alvin E. Roth the 2012 Nobel Prize in Economic Sciences.
This chapter was originally published in The New Palgrave Dictionary of Economics, Online edition, 2013. Edited by Palgrave Macmillan
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Selected Works
Aumann, R.J., and L.S. Shapley. 1974. Values of non-atomic games. Princeton: Princeton University Press.
Aumann, R. J. and Shapley, L. S. 1976. Long-term competition: a game-theoretic analysis. Mimeo, reprinted. In Essays in game theory (ed. N. Megiddo), pp. 1–15. Springer, New York.
Baucells, M., and L.S. Shapley. 2008. Multiperson utility. Games and Economic Behavior 62(2): 329–347.
Dubey, P., and L.S. Shapley. 1979. Mathematical properties of the Banzhaf power index. Mathematics of Operations Research 4(2): 99–131.
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Shapley, L.S. 1953b. Stochastic games. Proceedings of the National Academy of Sciences of the United States of America 39(10): 1095–1100.
Shapley, L.S. 1964. Some topics in two-person games. Advances in Game Theory 52: 1–29.
Shapley, L.S. 1967. On balanced sets and cores. Naval Research Logistics Quarterly 14(4): 453–460.
Shapley, L. S. 1969. Utility comparison and the theory of games. In: La Decision (ed. G. Th. Guilbaud), pp. 251–263. Editions du Centre National de la Recherche Scientifique, Paris. Reprinted (1988) in The Shapley Value: Essays in Honor of Lloyd S. Shapley (ed. Alvin E. Roth), pp. 307–19.
Shapley, L.S. 1971. Cores of convex games. International Journal of Game Theory 1(1): 11–26.
Shapley, L.S. 1973. On balanced games without side payments. In Mathematical programming, ed. T.C. Hu and S.M. Robinson, 261–290. New York: Academic.
Shapley, L.S. 1974. A note on the Lemke–Howson algorithm. Mathematical Programming Study 1: 175–189.
Shapley, L.S. 1981. On the accessibility of fixed points. In Game theory and mathematical economics, ed. O. Moeschlin and D. Pallaschke. Amsterdam: North-Holland.
Shapley, L.S., and H. Scarf. 1974. On cores and indivisibility. Journal of Mathematical Economics 1(1): 23–37.
Shapley, L.S., and M. Shubik. 1954. A method for evaluating the distribution of power in a committee system. American Political Science Review 48(03): 787–792.
Shapley, L.S., and M. Shubik. 1969. On market games. Journal of Economic Theory 1(1): 9–25.
Shapley, L.S., and M. Shubik. 1971. The assignment game I: The core. International Journal of Game Theory 1(1): 111–130.
Shapley, L.S., and M. Shubik. 1975. Competitive outcomes in the cores of market games. International Journal of Game Theory 4(4): 229–237.
Shapley, L.S., and M. Shubik. 1977a. Trade using one commodity as a means of payment. The Journal of Political Economy 85(5): 937–968.
Shapley, L.S., and M. Shubik. 1977b. An example of a trading economy with three competitive equilibria. The Journal of Political Economy 85(4): 873–875.
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Baucells, M., Lejano, R., Qin, CZ. (2013). Shapley, Lloyd S. (Born 1923). In: The New Palgrave Dictionary of Economics. Palgrave Macmillan, London. https://doi.org/10.1057/978-1-349-95121-5_2866-1
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