Bibliography on Computation of Power indices


Banzhaf, John F (1965), Weighted Voting Doesn't Work: A Mathematical Analysis", Rutgers Law Review, 19, 317-343.

Bilbao, J.M., J.R.Fernandez, A. Jimenez Losada and J.J. Lopez, (2000), "Generating Functions for Computing Power Indices Efficiently", Top 8, 2, 191-213.

Brams, Stephen J.and Paul J. Affuso (1976), "Power and Size: a New Paradox," Theory and Decision, 7, 29-56.

Coleman, James S (1971)., "Control of Collectivities and the Power of a Collectivity to Act," in B.Lieberman (ed), Social Choice, New York, Gordon and Breach, reprinted in J.S. Coleman, 1986, Individual Interests and Collective Action, Cambridge University Press.

Dubey, P. and L.S. Shapley (1979), "Mathematical Properties of the Banzhaf Value," Mathematics of Operational Research, 4, 99-131.

Felsenthal, Dan S. and Moshe Machover, (1998),The Measurement of Voting Power, Cheltenham, Edward Elgar.

Lambert, J.P. (1988), "Voting Games, Power Indices and Presidential Elections," UMAP Journal, 9, 216-277.

Leech, Dennis (2001), "Shareholder Voting Power and Corporate Governance: a Study of Large British Companies," Nordic Journal of Political Economy, 27(1), 33-54.

----------------- (2002a) "An Empirical Comparison of the Performance of Classical Power Indices," Political Studies, 50(1) March, 1-22.

----------------- (2002b) "Shareholder Voting Power and Ownership Control of Companies", Homo Oeconomicus, XIX(3), 345-371.

----------------- (2002c), "Voting Power in the Governance of the International Monetary Fund", Annals of Operations Research, 109, 375-397.

----------------- (2002d), "Designing the Voting System for the Council of the European Union," Public Choice, 113(3-4), 437-464.

----------------- (2002e), "Computation of Power Indices", University of Warwick: Warwick Economic Research Papers, No. 644.

----------------- (2003), "Computing Power Indices for Large Voting Games", Management Science,. 49(6), June, 831-837.

 Lucas, William F. (1983), "Measuring Power in Weighted Voting Systems," in S. Brams, W. Lucas and P. Straffin (eds.), Political and Related Models, Springer.

Mann, Irving and Lloyd .S Shapley (1960), "Values of Large Games IV: Evaluating the Electoral College by Montecarlo Techniques", RM-2651, The Rand Corporation, Santa Monica.

-------------------------------------------- (1962), "Values of Large Games VI: Evaluating the Electoral College Exactly", RM-3158, The Rand Corporation , Santa Monica.

Milnor, J.W. and L.S. Shapley (1978), "Values of Large Games II: Oceanic Games", Mathematics of Operations Research, 3(4), November, 290-307.

Owen, Guillermo (1972), "Multilinear Extensions of Games," Management Science, vol. 18(5), Part 2, P-64 to P-79.

--------------------- (1975a), "Multilinear Extensions and the Banzhaf Value," Naval Research Logistics Quarterly, 22, 741-50.

--------------------- (1975b), "Evaluation of a Presidential Election Game", American Political Science Review, 69, 947-53.

--------------------- (1995), Game Theory,(3rd Edition) , Academic Press.

Penrose, L.S. (1946), "The Elementary Statistics of Majority Voting," Journal of the Royal Statistical Society, 109, 53-57.

--------------------- (1952), On the Objective Study of Crowd Behaviour, London: H.K.Lewis.

Rydqvist, Kristian (1986)The Pricing of Shares with Different Voting Power and the Theory of Oceanic Games,Stockholm Stockholm School of Economics.

Shapley, L.S. (1961), "Values of Large Games III: A Corporation with Two Large Stockholders", RM-2650, The Rand Corporation, Santa Monica.

------------------ and Shapiro, N.Z. (1978), "Values of Large Games: A Limit Theorem". Mathematics of Operations Research, 3(1), 1-9. Previously published as "Values of Large Games I: A Limit Theorem", RM-2648, The Rand Corporation, Santa Monica.

------------------ and Martin Shubik (1954), "A Method for Evaluating the Distribution of Power in a Committee System," American Political Science Review, 48, 787-92.

Straffin, Philip D. (1994), "Power and Stability in Politics," chapter 32 of Aumann, Robert J and Sergiu Hart (eds.), Handbook of Game Theory, Volume 2, North-Holland.