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Matthias Hild [16]M. Hild [3]Manfred Hild [1]
  1. Matthias Hild & Mathias Risse, A Generalization of Aumann's Agreement Theorem.
    The scope of Aumann’s (1976) Agreement Theorem is needlessly limited by its restriction to Conditioning as the update rule. Here we prove the theorem in a more comprehensive framework, in which the evolution of probabilities is represented directly, without deriving new probabilities from new certainties. The framework allows arbitrary update rules subject only to Goldstein’s (1983) requirement that current expectations agree with current expectations of future expectations.
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  2. Matthias Hild, Mathias Risse, John Harsanyi, John Rawls & John A. Weymark, Preference Aggregation After Harsanyi.
    Consider a group of people whose preferences satisfy the axioms of one of the current versions of utility theory, such as von Neumann-Morgenstern (1944), Savage (1954), or Bolker-Jeffrey (1965). There are political and economic contexts in which it is of interest to find ways of aggregating these individual preferences into a group preference ranking. The question then arises of whether methods of aggregation exist in which the group’s preferences also satisfy the axioms of the chosen utility theory, and in which (...)
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  3. Matthias Hild, Mathias Risse & Richard Je¤rey, Flipping and Ex Post Aggregation.
    We show that Bayesian ex post aggregation is unstable with respect to refinements. Suppose a group of Bayesians use ex post aggregation. Since it is a joint problem, each agent’s problem is captured by the same model, but probabilities and utilities may vary. If they analyze the same situation in more detail, their refined analysis should preserve their preferences among acts. However, ex post aggregation could bring about a preference reversal on the group level. Ex post aggregation thus depends on (...)
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  4. Wolfgang Spohn & Matthias Hild (2008). The Measurement of Ranks and the Laws of Iterated Contraction. Artificial Intelligence 172:1195-1218.
    Ranking theory delivers an account of iterated contraction; each ranking function induces a specific iterated contraction behavior. The paper shows how to reconstruct a ranking function from its iterated contraction behavior uniquely up to multiplicative constant and thus how to measure ranks on a ratio scale. Thereby, it also shows how to completely axiomatize that behavior. The complete set of laws of iterated contraction it specifies amend the laws hitherto discussed in the literature.
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  5. Manfred Hild & Brigitte Stemmer (2007). Can Evolution Produce Robots? In Henri Cohen & Brigitte Stemmer (eds.), Consciousness and Cognition: Fragments of Mind and Brain. Elxevier Academic Press.
     
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  6. Matthias Hild (2006). Inductive Incompleteness. Philosophical Studies 128 (1):109 - 135.
    Nelson Goodman cast the ‘problem of induction’ as the task of articulating the principles and standards by which to distinguish valid from invalid inductive inferences. This paper explores some logical bounds on the ability of a rational reasoner to accomplish this task. By a simple argument, either an inductive inference method cannot admit its own fallibility, or there exists some non-inferable hypothesis whose non-inferability the method cannot infer (violating the principle of ‘negative introspection’). The paper discusses some implications of this (...)
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  7. Matthias Hild (2004). A Note On Impossibility Theorems and Seniority Rules. Theory and Decision 57 (1):69-78.
    We characterize seniority rules, also known as lexical dictatorships, under weak consistency constraints on the group’s choice function. These constraints are base triple-acyclicity in the case of binary choices and rationalizability (although not rationality) in the case of choices between an arbitrary number of alternatives. Existing results on these weakened constraints remain silent on the treatment of the group’s most junior individuals and therefore do not yield a complete characterization of seniority rules. We also impose a universal domain, binary strict (...)
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  8. Matthias Hild & Alex Voorhoeve (2004). Equality of Opportunity and Opportunity Dominance. Economics and Philosophy 20 (1):117-145.
    All conceptions of equal opportunity draw on some distinction between morally justified and unjustified inequalities. We discuss how this distinction varies across a range of philosophical positions. We find that these positions often advance equality of opportunity in tandem with distributive principles based on merit, desert, consequentialist criteria or individuals' responsibility for outcomes. The result of this amalgam of principles is a festering controversy that unnecessarily diminishes the widespread acceptability of opportunity concerns. We therefore propose to restore the conceptual separation (...)
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  9. M. Hild (2003). Review of Joseph B. Kadane, Mark J. Schervish and Teddy Seidenfeld's Rethinking the Foundations of Statistics. [REVIEW] Economics and Philosophy 19 (1):149-155.
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  10. Matthias Hild (2003). Rethinking the Foundations of Statistics, Joseph B. Kadane, Mark J. Schervish and Teddy Seidenfeld. Cambridge University Press, 1999, X + 388 Pages. [REVIEW] Economics and Philosophy 19 (1):149-155.
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  11. Matthias Hild (2001). Fair Kidney Allocation Based on Waiting Time. Analyse and Kritik 23 (2):173-190.
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  12. Matthias Hild (2001). Papers in Philosophical Logic. David K. Lewis. Mind 110 (440):1092-1097.
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  13. M. Hild (2000). Trends in the Philosophy of Probability. Studies in History and Philosophy of Science Part B 31 (3):419-422.
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  14. W. Bossert Bosch, J. van der Craats, A. van Deemen, R. Delver, M. van Hees, M. Hild, M. Kaneko, H. Keiding, M. Monsuur & H. Moulin (1999). Logic, Game Theory and Social Choice Oisterwijk (Near Tilburg), the Netherlands, 13-16 May 1999. Theory and Decision 46 (106).
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  15. Matthias Hild (1999). The Diachronic Coherence of Ungraded Beliefs. Erkenntnis 50 (2-3):225-242.
    This paper works within a model of ungraded belief that characterizes epistemic states as logically closed and consistent sets of sentences. The aim of this paper is to discuss three diachronic coherence conditions for such beliefs. These coherence conditions are formulated in terms of the reasoner's present beliefs about how his present beliefs will evolve in the future, for instance, in response to different pieces of future evidence.
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  16. Matthias Hild, Richard Jeffrey & Mathias Risse (1999). Aumann's “No Agreement” Theorem Generalized. In Cristina Bicchieri, Richard C. Jeffrey & Brian Skyrms (eds.), The Logic of Strategy. Oxford University Press. 92--100.
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  17. Matthias Hild (1998). Auto-Epistemology and Updating. Philosophical Studies 92 (3):321-361.
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  18. Matthias Hild (1998). The Coherence Argument Against Conditionalization. Synthese 115 (2):229-258.
    I re-examine Coherence Arguments (Dutch Book Arguments, No Arbitrage Arguments) for diachronic constraints on Bayesian reasoning. I suggest to replace the usual game–theoretic coherence condition with a new decision–theoretic condition ('Diachronic Sure Thing Principle'). The new condition meets a large part of the standard objections against the Coherence Argument and frees it, in particular, from a commitment to additive utilities. It also facilitates the proof of the Converse Dutch Book Theorem. I first apply the improved Coherence Argument to van Fraassen's (...)
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  19. Matthias Hild, Richard Jeffrey & Mathias Risse (1997). Agreeing to Disagree: Harsanyi and Aumann. Vienna Circle Institute Yearbook 5:109-115.
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