1 citations · 2 across the 8 of their papers we have counts for
8 papers
Candidate Voter Dynamics
Christoph Borgers, Natasa Dragovic, Arkadz Kirshtein
We model dynamically changing candidate positions in the face of a dynamic electorate. To formulate our equations, we use a space-time-continuous Hegselmann-Krause equation, which…
Local wealth condensation for yard-sale models with wealth-dependent biases
Christoph Börgers, Claude Greengard
In Chakraborti's yard-sale model of an economy, identical agents engage in pairwise trades, resulting in wealth exchanges that conserve each agent's expected wealth. Doob's marting…
ODE models of wealth concentration and taxation
Bruce Boghosian, Christoph Börgers
We refer to an individual holding a non-negligible fraction of the country's total wealth as an oligarch. We explain how a model due to Boghosian et al. can be used to explore the…
A new probabilistic analysis of the yard-sale model
Christoph Börgers, Claude Greengard
In Chakraborti's yard-sale model of an economy, identical agents engage in trades that result in wealth exchanges, but conserve the combined wealth of all agents and each agent's e…
ODEs and Mandatory Voting
Christoph Börgers, Natasa Dragovic, Anna Haensch +2
This paper presents mathematics relevant to the question whether voting should be mandatory. Assuming a static distribution of voters' political beliefs, we model how politicians m…
A blue sky bifurcation in the dynamics of political candidates
Christoph Börgers, Bruce Boghosian, Natasa Dragovic +1
Political candidates often shift their positions opportunistically in hopes of capturing more votes. When there are only two candidates, the best strategy for each of them is often…
A particle method for continuous Hegselmann-Krause opinion dynamics
Bruce Boghosian, Christoph Börgers, Natasa Dragovic +2
We derive a differential-integral equation akin to the Hegselmann-Krause model of opinion dynamics, and propose a particle method for solving the equation. Numerical experiments de…
A geospatial bounded confidence model including mega-influencers with an application to Covid-19 vaccine hesitancy
Anna Haensch, Natasa Dragovic, Christoph Börgers +1
We introduce a geospatial bounded confidence model with mega-influencers, inspired by Hegselmann and Krause. The inclusion of geography gives rise to large-scale geospatial pattern…