AXIOMATIC THINKING

Axiomatic Redistricting*

In a framework with two parties, deterministic voter preferences and geographical constraints, we propose a set of simple axioms and show that they jointly characterize the districting rule that maximizes the number of districts a party can win, given an electoral outcome (the " optimal gerrymandering rule "). As a corollary, we obtain that no districting rule can satisfy our axioms and treat p...

Axiomatic Neuroeconomics

Those of us who pursue neuroeconomic research do so in the belief that neurobiological and decision theoretic research will prove highly complementary. The hoped for complementarities rest in part on the fact that model-building and quantification are as highly valued within neuroscience as they are in economics. Yet methodological tensions remain. In particular, the ‘axiomatic’ modeling method...

Axiomatic districting

In a framework with two parties, deterministic voter preferences and a type of geographical constraints, we propose a set of simple axioms and show that they jointly characterize the districting rule that maximizes the number of districts one party can win, given the distribution of individual votes (the " optimal gerrymandering rule "). As a corollary, we obtain that no districting rule can sa...

Intuition and the Axiomatic Method Intuition and the Axiomatic Method

Axiomatic Quantum Theory

The aim of the following lecture is to give some rough overview over most essential structures underlying all working quantum theoretical models as well as axiomatic and algebraic quantum field theory. Before specializing to ordinary Hilbert space quantum theory it will be explained why common sense reasoning cannot be applied naively and the pragmatic procedure (quantum reasoning) of getting a...