• The ShapleyShubik power index was formulated by Lloyd Shapley and Martin Shubik in 1954 to measure the powers of players in a voting game. The constituents...
    10 KB (1,609 words) - 15:56, 22 January 2025
  • Thumbnail for Lloyd Shapley
    games have non-empty cores), the ShapleyShubik power index (for weighted or block voting power), the Gale–Shapley algorithm for the stable marriage...
    17 KB (1,486 words) - 22:41, 9 January 2025
  • Power index may refer to: Banzhaf power index ShapleyShubik power index This disambiguation page lists articles associated with the title Power index...
    266 bytes (44 words) - 22:05, 1 August 2024
  • game theory related to Lloyd Shapley: Shapley value and the Aumann–Shapley value ShapleyShubik power index Gale–Shapley algorithm This disambiguation...
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  • brother of Irene and Philippe Shubik model of the movement of goods and money in markets ShapleyShubik power index to measure the powers of players...
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    accepted way to measure voting power, along with the alternative ShapleyShubik power index. Both measures have been applied to the analysis of voting in...
    12 KB (1,227 words) - 18:10, 26 June 2025
  • and Harlan Mills. Shubik and Shapley used the Shapley value to formulate the Shapley-Shubik power index in 1954 to measure the power of players in a voting...
    15 KB (1,366 words) - 03:44, 5 June 2025
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    obtained via the wild bootstrap. Airport problem Banzhaf power index ShapleyShubik power index Shapley, Lloyd S. (August 21, 1951). "Notes on the n-Person...
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  • the Shapley-Shubik power index as a special case and extends its application to more complex organizational settings. The theory builds upon Shapley's earlier...
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    solution concept authority distribution () applies the Shapley-Shubik power index, rather than the Shapley value, to measure the bilateral direct influence...
    47 KB (6,738 words) - 13:09, 11 March 2025
  • Masato Tanaka; Tomomi Matsui (2022). "Monte Carlo Methods for the ShapleyShubik Power Index". Games. 13 (3): 44. arXiv:2101.02841. doi:10.3390/g13030044....
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    stochastic game, Potential game, ShapleyShubik power index, Bondareva–Shapley theorem, Gale–Shapley algorithm, Shapley–Folkman lemma 2013 Eugene Fama (b...
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  • Thumbnail for Weighted voting
    all the power, even if there is another voter who theoretically has 49% of the weight. The Banzhaf power index and the ShapleyShubik power index provide...
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  • constituencies. The main ones are the ShapleyShubik power index, the Banzhaf power index. These power indexes assume the constituencies can join up in...
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  • Thumbnail for Shapley–Folkman lemma
    non-convex sets. These JPE-papers stimulated a paper by Lloyd Shapley and Martin Shubik, which considered convexified consumer-preferences and introduced...
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  • Thumbnail for John Banzhaf
    power index has been used as a way to measure voting power, along with the ShapleyShubik power index. Banzhaf has used a clinical-project format in some...
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  • Thumbnail for Pradeep Dubey
    (1977) (with M. Shubik) Econometrica Vol. 45, pp. 1657–1680. "Some Properties of the Banzhaf Power Index" (1979) (with L.S. Shapley) Mathematics of Operations...
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  • Analysis of Conflict. Harvard University Press. ISBN 9780674341166. Shapley, Lloyd S.; Shubik, Martin (1 January 1971). "Chapter 1, Introduction, The Use of...
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  • Thumbnail for John Forbes Nash Jr.
    JSTOR 1906951. MR 0053471. Zbl 0050.14102. Mayberry, J. P.; Nash, J. F.; Shubik, M. (1953). "A comparison of treatments of a duopoly situation". Econometrica...
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  • Thumbnail for Rock paper scissors
    closed fist: ✊), "paper" (a flat hand: ✋), and "scissors" (a fist with the index finger and middle finger extended, forming a V: ✌). The earliest form of...
    83 KB (8,472 words) - 14:21, 26 June 2025
  • {v_{i}}}=\max _{a_{i}}\min _{a_{-i}}{v_{i}(a_{i},a_{-i})}} Where: i is the index of the player of interest. − i {\displaystyle -i} denotes all other players...
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  • Thumbnail for Tragedy of the commons
    5751/ES-09854-230107. hdl:1885/265550. ISSN 1708-3087. Chatty, Dawn (2006-01-01), "Index", Nomadic Societies in the Middle East and North Africa, Brill: 1035–1060...
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  • Thumbnail for Mechanism design
    optimizes the best-case outcomes (the price of stability), is precisely the Shapley value cost-sharing rule. A symmetrical statement is similarly valid for...
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  • Gain ( i , ⋅ ) {\displaystyle {\text{Gain}}(i,\cdot )} as the gain vector indexed by actions in A i {\displaystyle A_{i}} . Since σ ∗ {\displaystyle \sigma...
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  • Thumbnail for Peace and conflict studies
    Global Nonkilling Capitalist peace Democratic peace theory Global Peace Index Historic recurrence International security Just war theory List of peace...
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    program of atmosphere modification: What could be done, of course, is no index to what should be done... In fact, to evaluate the ultimate consequences...
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  • Thumbnail for Voting in the Council of the European Union
    methods that go beyond a mere calculation of vote share, such as the Shapley-Shubik index or the Banzhaf measure. According to Article 148 of the Treaty establishing...
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  • Jennifer Tour Chayes Ken Binmore Kenneth Arrow Leonid Hurwicz Lloyd Shapley Martin Shubik Melvin Dresher Merrill M. Flood Olga Bondareva Oskar Morgenstern...
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  • numbers, with I going first. They play "forever"; that is, their plays are indexed by the natural numbers. When they're finished, a predetermined condition...
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  • Thumbnail for Appeasement
    making political, material, or territorial concessions to an aggressive power with intention to avoid conflict. The term is most often applied to the...
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