Proportionate vs disproportionate distribution of wealth of two individuals in a tempered Paretian ensemble

►x1 and x2 are the wealths of two members of the same tempered Paretian ensemble (TPE). ► TPE is described by the distribution ψ(x)=φ(x)/x1+α, where φ(x) is the cut-off function. ► We evaluate the distribution P(ω) of the random variable ω=x1/(x1+x2). ► For α>1, P(ω) is unimodal and peaked at ω=1/2, so that, most probably, x1=x2. ► For 0<α<1 we predict a symmetry-breaking transition to multimodal forms.