14 Result(s)
within
Felix Brandt
Game Theory, Economics, Social and Behav. Sciences
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Article
Open AccessRelaxed notions of Condorcet-consistency and efficiency for strategyproof social decision schemes
Social decision schemes (SDSs) map the preferences of a group of voters over some set of m alternatives to a probability distribution over the alternatives. A seminal characterization of strategyproof SDSs by Gib...
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Article
Open AccessAn analytical and experimental comparison of maximal lottery schemes
Maximal lottery ( \( ML \) ML ) schem...
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Chapter
Analyzing the Practical Relevance of the Condorcet Loser Paradox and the Agenda Contraction Paradox
A large part of the social choice literature studies voting paradoxes in which seemingly mild properties are violated by common voting rules. In this chapter, we investigate the likelihood of the Condorcet Los...
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Chapter
Exploring the No-Show Paradox for Condorcet Extensions
An important and surprising phenomenon in voting theory is the No-Show Paradox (NSP), which occurs if a voter is better off by abstaining from an election. While it is known that certain voting rules suffer from ...
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Chapter
Collective Choice Lotteries
Randomization is playing an ever increasing role in economic design with examples ranging from fair allocation to matching markets to voting. I propose and briefly discuss three interdisciplinary and interrela...
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Article
Extending tournament solutions
An important subclass of social choice functions, so-called majoritarian (or C1) functions, only take into account the pairwise majority relation between alternatives. In the absence of majority ties—e.g., when t...
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Article
On the structure of stable tournament solutions
A fundamental property of choice functions is stability, which, loosely speaking, prescribes that choice sets are invariant under adding and removing unchosen alternatives. We provide several structural insigh...
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Chapter and Conference Paper
On the Discriminative Power of Tournament Solutions
Tournament solutions constitute an important class of social choice functions that only depend on the pairwise majority comparisons between alternatives. Recent analytical results have shown that several conce...
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Article
A note on the McKelvey uncovered set and Pareto optimality
We consider the notion of Pareto optimality under the assumption that only the pairwise majority relation is known and show that the set of necessarily Pareto optimal alternatives coincides with the McKelvey u...
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Article
Set-monotonicity implies Kelly-strategyproofness
This paper studies the strategic manipulation of set-valued social choice functions according to Kelly’s preference extension, which prescribes that one set of alternatives is preferred to another if and only ...
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Article
Minimal retentive sets in tournaments
Tournament solutions, i.e., functions that associate with each complete and asymmetric relation on a set of alternatives a nonempty subset of the alternatives, play an important role in the mathematical social...
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Article
A counterexample to a conjecture of Schwartz
In 1990, motivated by applications in the social sciences, Thomas Schwartz made a conjecture about tournaments which would have had numerous attractive consequences. In particular, it implied that there is no ...
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Article
Characterization of dominance relations in finite coalitional games
McGarvey (Econometrica, 21(4), 608–610, 1953) has shown that any irreflexive and anti-symmetric relation can be obtained as a relation induced by majority rule. We address the analogous issue for dominance rel...
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Article
A computational analysis of the tournament equilibrium set
A recurring theme in the mathematical social sciences is how to select the “most desirable” elements given a binary dominance relation on a set of alternatives. Schwartz’s tournament equilibrium set (TEQ) ranks a...
