no code implementations • 24 Feb 2024 • Felix Brandt, Matthias Greger, Erel Segal-haLevi, Warut Suksompong
For the case of two alternatives, we extend existing results by proving that under very general assumptions, the uniform phantom mechanism is the only strategyproof mechanism that satisfies proportionality - a minimal notion of fairness introduced by Freeman et al. (2021).
no code implementations • 3 Aug 2023 • Felix Brandt, Florian Grundbacher
Tournament solutions play an important role within social choice theory and the mathematical social sciences at large.
no code implementations • 6 Jul 2023 • Florian Brandl, Felix Brandt
We give a robust characterization of Nash equilibrium by postulating coherent behavior across varying games: Nash equilibrium is the only solution concept that satisfies consequentialism, consistency, and rationality.
no code implementations • 17 May 2023 • Felix Brandt, Matthias Greger, Erel Segal-haLevi, Warut Suksompong
Charity is typically done either by individual donors, who donate money to the charities that they support, or by centralized organizations such as governments or municipalities, which collect the individual contributions and distribute them among a set of charities.
no code implementations • 21 Mar 2023 • Felix Brandt, Matthias Greger, René Romen
By weakening ex post efficiency and strategyproofness, we reduce the question of whether RSD is characterized by these axioms for fixed $n$ to determining whether a matrix has rank $n^2 n!^n$.
no code implementations • 11 Apr 2022 • Felix Brandt, Chris Dong
More precisely, we say that a choice function is locally rationalizable if it is rationalized by a family of rationalizing relations such that a strict preference between two alternatives in some feasible set is preserved when removing other alternatives.
no code implementations • 25 Jan 2022 • Felix Brandt, Patrick Lederer, René Romen
Secondly, we prove a continuous strengthening of Gibbard's random dictatorship theorem: the less probability we put on Pareto-dominated alternatives, the closer to a random dictatorship is the resulting SDS.
no code implementations • 10 Aug 2021 • Felix Brandt, Patrick Lederer
Gibbard and Satterthwaite have shown that the only single-valued social choice functions (SCFs) that satisfy non-imposition (i. e., the function's range coincides with its codomain) and strategyproofness (i. e., voters are never better off by misrepresenting their preferences) are dictatorships.
no code implementations • 19 Apr 2021 • Laura Dörr, Felix Brandt, Alexander Naumann, Martin Pouls
While common image object detection tasks focus on bounding boxes or segmentation masks as object representations, we consider the problem of finding objects based on four arbitrary vertices.
no code implementations • 26 Mar 2021 • Florian Brandl, Felix Brandt
In fact, the probability that the collective decision in round $n$ is made according to a maximal lottery increases exponentially in $n$.
no code implementations • 29 Sep 2020 • Laura Dörr, Felix Brandt, Martin Pouls, Alexander Naumann
Dispatching and receiving logistics goods, as well as transportation itself, involve a high amount of manual efforts.
no code implementations • 11 Aug 2020 • Laura Dörr, Felix Brandt, Martin Pouls, Alexander Naumann
Within a logistics supply chain, a large variety of transported goods need to be handled, recognized and checked at many different network points.
no code implementations • 19 Apr 2016 • Florian Brandl, Felix Brandt, Manuel Eberl, Christian Geist
Our proof is obtained by formulating the claim as a satisfiability problem over predicates from real-valued arithmetic, which is then checked using an SMT (satisfiability modulo theories) solver.