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  1. Dan S. Felsenthal & Moshé Machover, Voting Power in the UN Security Council: Presentation of Detailed Calculations.
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  2. Moshé Machover & Simon D. Terrington, Mathematical Structures of Simple Voting Games.
    We address simple voting games (SVGs) as mathematical objects in their own right, and study structures made up of these objects, rather than focusing on SVGs primarily as co-operative games. To this end it is convenient to employ the conceptual framework and language of category theory. This enables us to uncover the underlying unity of the basic operations involving SVGs.
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  3. Moshé Machover, The Underlying Assumptions of Electoral Systems.
    I propose a twofold classification of the main considerations underlying the choice of an election procedure: political criteria on the one hand, and social-choice criteria on the other. I formulate political dichotomies, each combination of which narrows down the choice of procedure to a sub-class of the class of all procedures. I discuss what social-choice theory has to offer in each of these.
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  4. Dan S. Felsenthal & Moshé Machover, A Note on Measuring Voters' Responsibility.
    We consider a singular event of the following form: in a simple voting game, a particular division of the voters resulted in a positive outcome. We propose a plausible measure that quantifies the causal contribution of any given voter to the outcome. This measure is based on a conceptual analysis due to Braham [1], but differs from his solution to the problem of measuring causality of singular events.
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  5. Dan Felsenthal & Moshé Machover, Analysis of QM Rule Adopted by the Council of the European Union, Brussels, 23 June 2007.
    We analyse and assess the qualified majority (QM) decision rule for the Council of Ministers of the EU, adopted at the Council of the European Union, Brussels, 23 June 2007. This rule is essentially the same as that adopted at the Inter-Governmental Conference, Brussels, 18 June 2004. We compare this rule with the QM rule prescribed in the Treaty of Nice, and the scientifically-based rule known as the ‘Jagelonian Compromise’.
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  6. Moshé Machover, Discussion Topic: Voting Power When Voters' Independence is Not Assumed.
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  7. Pao-Li Chang, Vincent C. H. Chua & Moshé Machover, L S Penrose's Limit Theorem: Tests by Simulation.
    L S Penrose’s Limit Theorem – which is implicit in Penrose [7, p. 72] and for which he gave no rigorous proof – says that, in simple weighted voting games, if the number of voters increases indefinitely and the relative quota is pegged, then – under certain conditions – the ratio between the voting powers of any two voters converges to the ratio between their weights. Lindner and Machover (...)
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  8. Dan Felsenthal & Moshé Machover, Further Reflections on the Expediency and Stability of Alliances.
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  9. Dan S. Felsenthal & Moshé Machover, Analysis of QM Rules in the Draft Constitution for Europe Proposed by the European Convention, 2003.
    We analyse and evaluate the qualified majority (QM) decision rules for the Council of Ministers of the EU that are included in the Draft Constitution for Europe proposed by the European Convention [5]. We use a method similar to the one we used in [9] for the QM prescriptions made in the Treaty of Nice.
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  10. Dan S. Felsenthal & Moshé Machover, Analysis of QM Rule Adopted by the EU Inter-Governmental Conference Brussels, 18 June 2004.
    We analyse and evaluate the qualified majority (QM) decision rule for the Council of Ministers of the EU adopted at the EU Inter-Governmental Conference, Brussels, 18 June 2004 [1]. We compare this rule with the QM rule prescribed in the Treaty of Nice, and the rule included in the original draft Constitution proposed by the European Convention in July 2003. We use a method similar to the one we used in [3] and [4].
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  11. Dan S. Felsenthal & Moshé Machover, A Priori Voting Power : What is It All About?
    In this account, we explain the meaning of a priori voting power and outline how it is measured. We distinguish two intuitive notions as to what voting power means, leading to two approaches to measuring it. We discuss some philosophical and pragmatic objections, according to which a priori (as distinct from actual) voting power is worthless or inapplicable.
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  12. Madeleine O. Hosli & Moshé Machover, The Nice Treaty and Voting Rules in the Council: A Reply to Moberg (2002).
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  13. Ines Lindner & Moshé Machover, L.S. Penrose's Limit Theorem : Proof of Some Special Cases.
    LS Penrose was the first to propose a measure of voting power (which later came to be known as ‘the [absolute] Banzhaf index’). His limit theorem – which is implicit in Penrose (1952) and for which he gave no rigorous proof – says that, in simple weighted voting games, if the number of voters increases indefinitely while the quota is pegged at half the total weight, then – under certain conditions – the ratio between the voting powers (as measured by (...)
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  14. Dan S. Felsenthal & Moshé Machover, Misreporting Rules.
    In the voting-power literature the rules of decision of the US Congress and the UN Security Council are widely misreported as though abstention amounts to a `no' vote. The hypothesis (proposed elsewhere) that this is due to a specific cause, theory-laden observation, is tested here by examining accounts of these rules in introductory textbooks on American Government and International Relations, where that putative cause does not apply. Our examination does not lead to a conclusive outcome regarding the hypothesis, but reveals (...)
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  15. Dan S. Felsenthal, Moshé Machover & William Zwicker (1998). The Bicameral Postulates and Indices of a Priori Voting Power. Theory and Decision 44 (1):83-116.
    If K is an index of relative voting power for simple voting games, the bicameral postulate requires that the distribution of K -power within a voting assembly, as measured by the ratios of the powers of the voters, be independent of whether the assembly is viewed as a separate legislature or as one chamber of a bicameral system, provided that there are no voters common to both chambers. We argue that a reasonable index – if it is to be used (...)
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  16. Philip Ehrlich & Moshe Machover (1996). Real Numbers, Generalizations of the Reals and Theories of Continua (Synthese Library, Vol. 242). British Journal for the Philosophy of Science 47 (2):320-324.
     
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  17. Moshé Machover (1996). Review. [REVIEW] British Journal for the Philosophy of Science 47 (1):320-324.
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  18. Moshe Machover (1996). Set Theory, Logic and Their Limitations. Cambridge University Press.
    This is an introduction to set theory and logic that starts completely from scratch. The text is accompanied by many methodological remarks and explanations.
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  19. Joseph Warren Dauben & Moshe Machover (1996). Abraham Robinson: The Creation of Nonstandard Analysis: A Personal and Mathematical Odyssey. British Journal for the Philosophy of Science 47 (1):137-140.
     
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  20. Moshé Machover (1994). Review. [REVIEW] British Journal for the Philosophy of Science 45 (4):320-324.
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  21. Gila Sher & Moshe Machover (1994). The Bounds of Logic: A Generalized Viewpoint. British Journal for the Philosophy of Science 45 (4):1078-1083.
     
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  22. Moshé Machover (1993). The Place of Nonstandard Analysis in Mathematics and in Mathematics Teaching. British Journal for the Philosophy of Science 44 (2):205-212.
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  23. S. Dan Felsenthal & Moshé Machover (1992). Sequential Voting by Veto: Making the Mueller-Moulin Algorithm More Versatile. Theory and Decision 33 (3):223-240.
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  24. Moshe Machover (1983). Towards a New Philosophy of Mathematics. British Journal for the Philosophy of Science 34 (1):1-11.