arXiv subjects

Nikolay L. Poliakov

Publications and source records attributed to Nikolay L. Poliakov.

3 recordsLinked to original sources

arXiv2026

What aggregation rules can be classified as logical concepts?

In this paper, we study aggregation rules with nontrivial symmetric classes of invariant sets (restricted domains), assuming that they, unlike others, have a logical nature. In the simplest case, we provide a complete classification of such rules. Our primary tools are methods of universal algebra and the theory of closed classes of discrete functions.

econ.TH↗

arXiv2016

Note on level r consensus

We show that the hierarchy of level $r$ consensus partially collapses. In particular, any profile $π\in \mathcal{P}$ that exhibits consensus of level $(K-1)!$ around $\succ_0$ in fact exhibits consensus of level $1$ around $\succ_0$.

econ.GN↗

arXiv2012

On algorithmic decidability of the square-free word problem relative to a system of two defining relations

The square-free word problem relative to a system of two defining relations is decidable.

math.LO↗