Some Surprising Properties of Power Indices
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- Pradeep Dubey & Abraham Neyman & Robert J. Weber, 1979. "Value Theory without Efficiency," Cowles Foundation Discussion Papers 513, Cowles Foundation for Research in Economics, Yale University.
- Philip Straffin, 1977. "Homogeneity, independence, and power indices," Public Choice, Springer, vol. 30(1), pages 107-118, June.
- Sven Berg, 1999. "On Voting Power Indices and a Class of Probability Distributions: With applications to EU data," Group Decision and Negotiation, Springer, vol. 8(1), pages 17-31, January.
- Ezra Einy, 1987. "Semivalues of Simple Games," Mathematics of Operations Research, INFORMS, vol. 12(2), pages 185-192, May.
- Pradeep Dubey & Abraham Neyman & Robert James Weber, 1981.
"Value Theory Without Efficiency,"
Mathematics of Operations Research, INFORMS, vol. 6(1), pages 122-128, February.
- Pradeep Dubey & Abraham Neyman & Robert J. Weber, 1979. "Value Theory without Efficiency," Cowles Foundation Discussion Papers 513, Cowles Foundation for Research in Economics, Yale University.
- Shapley, L. S. & Shubik, Martin, 1954. "A Method for Evaluating the Distribution of Power in a Committee System," American Political Science Review, Cambridge University Press, vol. 48(3), pages 787-792, September.
- Straffin, Philip Jr., 1994. "Power and stability in politics," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 32, pages 1127-1151, Elsevier.
- Iñaki García & Esther Gutiérrez & Emilio Calvo, 1999. "Scoring rules: A cooperative game-theoretic approach," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(3), pages 491-512.
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"Hierarchy of players in swap robust voting games,"
Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(1), pages 11-22, January.
- Bishnu, Monisankar & Roy, Sonali, 2009. "Hierarchy of players in swap robust voting games," ISU General Staff Papers 200910220700001157, Iowa State University, Department of Economics.
- Bishnu, Monisankar & Roy, Sonali, 2012. "Hierarchy of players in swap robust voting games," Staff General Research Papers Archive 36387, Iowa State University, Department of Economics.
- Bishnu, Monisankar & Roy, Sonali, 2009. "Hierarchy of Players in Swap Robust Voting Games," Staff General Research Papers Archive 13118, Iowa State University, Department of Economics.
- Diana Cheng & Peter Coughlin, 2017. "Using equations from power indices to analyze figure skating teams," Public Choice, Springer, vol. 170(3), pages 231-251, March.
- Tobias Hiller, 2023. "Measuring the Difficulties in Forming a Coalition Government," Games, MDPI, vol. 14(2), pages 1-15, March.
- Geller, Chris R. & Mustard, Jamie & Shahwan, Ranya, 2013. "Focused power: Experiments, the Shapley-Shubik power index, and focal points," Economics Discussion Papers 2013-42, Kiel Institute for the World Economy (IfW Kiel).
- Neilson, William S. & Winter, Harold, 2008. "Votes based on protracted deliberations," Journal of Economic Behavior & Organization, Elsevier, vol. 67(1), pages 308-321, July.
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- L. Hernández-Lamoneda & F. Sánchez-Sánchez, 2010. "Rankings and values for team games," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(3), pages 319-350, July.
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