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Representations of simple games by social choice functions. (English) Zbl 0391.90007


MSC:

91B14 Social choice
91A80 Applications of game theory
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References:

[1] Black, R.D.: The Theory of Committees and Elections, Cambridge 1958. · Zbl 0091.15706
[2] Blin, J.-M., andM.A. Satterthwaite: Individual Decisions and Group Decisions: The Fundamental Differences. Forthcoming, 1975.
[3] Bott, R.: Symmetric Solutions to Majority Games. Annals of Mathematics Study28, 1953, 319–323. · Zbl 0050.14405
[4] Dutta, B., andP.K. Pattanaik: On Nicely Consistent Voting Systems. Econometrica46, 1978, 163–170. · Zbl 0376.90012 · doi:10.2307/1913653
[5] Gibbard, A.: Manipulation of Voting Schemes: A General Result. Econometrica41, 1973, 587–601. · Zbl 0325.90081 · doi:10.2307/1914083
[6] Nakamura, K.: The Core of a Simple Game with Ordinal Preferences. International Journal of Game Theory4, 1975, 95–104. · Zbl 0314.90104 · doi:10.1007/BF01766188
[7] -: The Vetoers in a Simple Game with Ordinal Preferences. To appear in International Journal of Game Theory, 1976.
[8] Peleg, B.: Consistent Voting Systems. Econometrica46, 1978, 153–161. · Zbl 0373.90002 · doi:10.2307/1913652
[9] Plott, C.R.: Path Independence, Rationality and Social Choice. Econometrica41, 1973, 1075–1091. · Zbl 0297.90017 · doi:10.2307/1914037
[10] Sen, A.: Social Choice Theory: A Re-examination. Econometrica45, 1977, 53–89. · Zbl 0353.90001 · doi:10.2307/1913287
[11] Shapley, L.S.: Simple Games: An Outline of the Descriptive Theory. Behavioral Science7, 1962, 59–66. · doi:10.1002/bs.3830070104
[12] -: Compound Simple Games, III: On Committees. The Rand Corporation, RM-5438-PR, 1967.
[13] Wilson, R.B.: The Game-Theoretic Structure of Arrow’s General Possibility Theorem. Journal of Economic Theory5, 1972, 14–20. · doi:10.1016/0022-0531(72)90115-9
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