Zobrazeno 1 - 10
of 459
pro vyhledávání: '"Boergers, A."'
Autor:
Börgers, Christoph, Greengard, Claude
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 martingale convergence theorem immediately implies almost sure wealth condens
Externí odkaz:
http://arxiv.org/abs/2406.10978
Autor:
Börgers, Christoph, Eddine, Samer Nour
Mr. Smith has two children. Given that at least one of them is a boy, how likely is it that Mr. Smith has two boys? It's a very standard puzzle in elementary books on probability theory. Whoever asks you this question hopes that you will answer "$\fr
Externí odkaz:
http://arxiv.org/abs/2308.16002
Autor:
Boghosian, Bruce, Börgers, Christoph
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 effects of taxation on the emergence of oligarchs. The model suggests
Externí odkaz:
http://arxiv.org/abs/2308.01500
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 might adjust their positions to raise their share of the vote. Various
Externí odkaz:
http://arxiv.org/abs/2308.01489
Autor:
Börgers, Christoph, Greengard, Claude
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 expected wealth. In this model, wealth condensation, that is, convergen
Externí odkaz:
http://arxiv.org/abs/2308.01485
Autor:
Börgers, Christoph
Phase response functions are the central tool in the mathematical analysis of pulse-coupled oscillators. When an oscillator receives a brief input pulse, the phase response function specifies how its phase shifts as a function of the phase at which t
Externí odkaz:
http://arxiv.org/abs/2302.08392
Autor:
Börgers, Christoph
It has been known for more than 300 years that the shape of an inelastic hanging cable, chain, or rope of uniform linear mass density is the graph of the hyperbolic cosine, up to scaling and shifting coordinates. But given two points at which the end
Externí odkaz:
http://arxiv.org/abs/2302.09054
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 to move towards the other. This eventually results in two centrists w
Externí odkaz:
http://arxiv.org/abs/2302.07993
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 demonstrate second-order convergence of the method in a weak sense. We a
Externí odkaz:
http://arxiv.org/abs/2211.06265
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 patterns evolving out of random initial data; that is, spatial clusters of li
Externí odkaz:
http://arxiv.org/abs/2210.08012