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Quantitative evaluation of veto power

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  • Chessa Michela
  • Vito Fragnelli

Abstract

The decisiveness index and the loose protectionism index for a single player have been intro- duced, starting from the decisiveness and the loose protectionism indices for a collective decision- making mechanism defined by Carreras. Attention was mainly focused on the latter index, being pro- posed 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.

Suggested Citation

  • Chessa Michela & Vito Fragnelli, 2011. "Quantitative evaluation of veto power," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 21(3-4), pages 5-19.
    • Handle: RePEc:wut:journl:v:3-4:y:2011:p:5-19:id:1012
    DOI: 10.5277/ord1203-0401
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    References listed on IDEAS

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    1. Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
    2. 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.
    3. Carreras, Francesc, 2005. "A decisiveness index for simple games," European Journal of Operational Research, Elsevier, vol. 163(2), pages 370-387, June.
    4. Michela Chessa & Vito Fragnelli, 2011. "Embedding Classical Indices in the FP Family," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 5(3), pages 289-305, November.
    5. Francesc Carreras, 2009. "Protectionism and blocking power indices," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 17(1), pages 70-84, July.
    6. R J Johnston, 1978. "On the Measurement of Power: Some Reactions to Laver," Environment and Planning A, , vol. 10(8), pages 907-914, August.
    7. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, April.
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    Cited by:

    1. Michela Chessa & Vito Fragnelli, 2022. "The Italian referendum: what can we get from game theory?," Annals of Operations Research, Springer, vol. 318(2), pages 849-869, November.

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