Quantitative evaluation of veto power

• Autorzy: Chessa M. , Fragnelli V.
• Języki publikacji: EN

Abstrakty

EN

The decisiveness index and the loose protectionism index for a single player have been introduced, starting from the decisiveness and the loose protectionism indices for a collective decisionmaking mechanism defined by Carreras. Attention was mainly focused on the latter index, being proposed as a quantitative measure of the power of veto of each agent. According to this index, a veto player has veto power equal to one, while each other player has a fractional power according to her/his likelihood of blocking a given proposal. Such an index coincides with the expected payoff at the Bayesian equilibrium of a suitable Bayesian game, which illustrates the non-cooperative point of view of a decision-making mechanism.

Słowa kluczowe

EN

veto power; indices; quantitative measure; Bayesian game

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Operations Research and Decisions
• Rocznik: 2011
• Tom: Vol. 21, No. 3-4
• Strony: 5--19
• Opis fizyczny: Bibliogr. 21 poz., rys., tab.

Twórcy

autor

Chessa M.

autor

Fragnelli V.

• The Faculty of Mathematics, Universita degli Studi di Milano, via Cesare Saldini 50, 20133 Milano, Italy,

Bibliografia

• [1] BANZHAF J.F., Weighted voting doesn’t work: a mathematical analysis, Rutgers Law Review, 1965, 19, 317–343.
• [2] CARRERAS F., A decisiveness index for simple games, European Journal of Operational Research, 2005, 163, 370–387.
• [3] CARRERAS F., Protectionism and blocking power indices, Top, 2009, 17, 70–84.
• [4] CHESSA M., FRAGNELLI V., Embedding classical indices in the FP family, AUCO Czech Economic Review, 2011, 5, 289–305.
• [5] COLEMAN J.S., Control of Collectivities and the Power of a Collectivity to Act, [in:] B. Lieberman, (Ed.), Social Choice, Gordon and Breach, London, 1971, 269–300
• [6] DEEGAN J., PACKEL E.W., A New Index of Power for Simple n-person Games, International Journal of Game Theory, 1978, 7, 113–123.
• [7] FRAGNELLI V., OTTONE S., SATTANINO R., A new family of power indices for voting games, Homo Oeconomicus, 2009, 26, 381–394.
• [8] HARSANYI J.C., Games with incomplete information played by Bayesian players, I–III, Management Science, 1967, 14, 159–182.
• [9] HOLLER M.J., Forming Coalitions and Measuring Voting Power, Political Studies, 1982, 30, 262–271.
• [10] ISHIKAWA K., INOHARA T., A method to compare influence of coalitions on group decision other than desirability relation, Applied Mathematics and Computation, 2007, 188, 838–849.
• [11] JOHNSTON R.J., On the measurement of power: some reactions to Laver, Environment and Planning A, 1978, 10, 907–914.
• [12] KALAI E., SAMET D., On weighted Shapley values, International Journal of Game Theory, 1987, 16, 205–222.
• [13] KITAMURA M., INOHARA T., An Extended Power Index to Evaluate Coalition Influence Based on Blockability Relations on Simple Games, [in:] Proceedings of the 2009 IEEE International Conference on Systems, Man, and Cybernetics, San Antonio, TX, USA, 2009, 1527–1532.
• [14] MERCIK J., On a priori Evaluation of Power of Veto, [in:] E. Herrera-Viedma, J.L. Garcıa-Lapresta, J. Kacprzyk, M. Fedrizzi, H. Nurmi, S. Zadrożny (Eds.), Consensual Processes, Springer Verlag, Berlin, 2011, 145–156.
• [15] MERCIK J., On Axiomatization and Measuring of Power of Veto, [in:] Proc. 7th Spain–Italy –Netherlands Meeting on Game Theory, Paris, 2011.
• [16] MYERSON R., Graphs and Cooperation in Games, Mathematics of Operations Research, 1977, 2, 225–229.
• [17] OSBORNE M.J., RUBINSTEIN A., A course in game theory, MA: MIT Press, Cambridge, 1994.
• [18] OWEN G., Values of Games with a Priori Unions, Lecture Notes in Economic and Mathematical Systems, 1977, 141, 76–88.
• [19] OWEN G., Modification of the Banzhaf-Coleman Index for Games with a priori Unions, Power, Voting and Voting Power, [in:] M.J. Holler (Ed.), Physica, Würzburg, 1981, 232–238.
• [20] SHAPLEY L.S., SHUBIK M., A method for evaluating the distribution of power in a committee system, The American Political Science Review, 1954, 48, 787–792.
• [21] TSEBELIS G., Veto Players. How Political Institutions Work, Princeton University Press, Princeton, 2002.