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  1.  59
    Decision Theory Without Finite Standard Expected Value.Luc Lauwers & Peter Vallentyne - 2016 - Economics and Philosophy 32 (3):383-407.
  2. Infinite Utilitarianism: More is Always Better.Luc Lauwers & Peter Vallentyne - 2004 - Economics and Philosophy 20 (2):307-330.
    We address the question of how finitely additive moral value theories (such as utilitarianism) should rank worlds when there are an infinite number of locations of value (people, times, etc.). In the finite case, finitely additive theories satisfy both Weak Pareto and a strong anonymity condition. In the infinite case, however, these two conditions are incompatible, and thus a question arises as to which of these two conditions should be rejected. In a recent contribution, Hamkins and Montero (2000) have argued (...)
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  3.  36
    Why Decision Theory Remains Constructively Incomplete.Luc Lauwers - 2016 - Mind 125 (500):1033-1043.
    The existence of a transitive, complete, and weakly independent relation on the full set of gambles implies the existence of a non-Ramsey set. Therefore, each transitive and weakly independent relation on the set of gambles either is incomplete or does not have an explicit description. Whatever tools decision theory makes available, there will always be decision problems where these tools fail us. In this sense, decision theory remains incomplete.
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  4.  37
    Infinite Lotteries, Large and Small Sets.Luc Lauwers - 2017 - Synthese 194 (6):2203-2209.
    One result of this note is about the nonconstructivity of countably infinite lotteries: even if we impose very weak conditions on the assignment of probabilities to subsets of natural numbers we cannot prove the existence of such assignments constructively, i.e., without something such as the axiom of choice. This is a corollary to a more general theorem about large-small filters, a concept that extends the concept of free ultrafilters. The main theorem is that proving the existence of large-small filters requires (...)
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  5.  30
    A Tree Can Make a Difference.Luc Lauwers & Peter Vallentyne - 2017 - Journal of Philosophy 114 (1):33-42.
    We show that it is not possible to extend the ranking of one-stage lotteries based on their weak-expectation to a reflexive and transitive relation on the collection of one- and two-stage lotteries that satisfies two basic axioms, the minimal value axiom and the reduction axiom. We propose an extension that satisfies only the first axiom. This ranking takes payoffs, their probabilities, and the tree structure into account.
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  6.  41
    Infinite Utility: Insisting on Strong Monotonicity.Luc Lauwers - 1997 - Australasian Journal of Philosophy 75 (2):222 – 233.
    The note addresses the problem of how utilitarianism and other finitely additive theories of value should evaluate infinitely long utility streams. We use the axiomatic approach and show that finite anonymity does not apply in an infinite framework. A stronger anonymity demand (fixed step anonymity) is proposed and motivated. Finally, we construct an ordering criterion that combines fixed step anonymity and strong monotonicity.
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  7. Ower and Satisfaction Analysis : An Application to the Belgian House of Representatives.Luc Lauwers & Patrick Uytterhoeven - 1987 - Res Publica 29 (4):649-661.
    Using post-war election results for the Belgian House of Representatives, the power relations among political parties are analysed by calculating power- and satisfaction indices. Also, a participation index has been constructed to calculate the probability that a party will join a government coalition.Since the election of 1981 the traditional parties join the same Banzhof power and participation probability. The other parties represent no power and participation valueat all.
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  8.  35
    A Note on Chichilnisky's Social Choice Paradox.Luc Lauwers - 2002 - Theory and Decision 52 (3):261-266.
    One of the main results in topological social choice states the non-existence of a continuous, anonymous, and unanimous aggregation rule on spheres. This note provides a proof based upon simple methods such as integration.
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  9.  3
    Power and Satisfaction Analysis: An Application to the Belgian House of Representatives.Luc Lauwers & P. Uytterhoeven - 1987 - Res Publica: Tijdschrift Voor Politologie 29:649-661.
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