Multiple hierarchical models of representative democracies in which, for instance, voters elect county representatives, county representatives elect district representatives, district representatives elect state representatives and state representatives a president, reduces the number of...

We show that optimal partisan districting and majority securing districting in the plane with geographical constraints are NP-complete problems. We provide a polynomial time algorithm for determining an optimal partisan districting for a simplified version of the problem. In addition, we give...

The mixed-strategy equilibrium of the symmetric production-in-advance type capacity-constrained Bertrand-Edgeworth duopoly game has not been derived analytically over the entire range of intermediate capacities in the literature. Tasnádi (2020) constructed a symmetric mixed-strategy equilibrium...

Social choice rules (SCRs) aggregate individual preferences to social preferences. By Arrow's (1951) impossibility theorem there does not exist a non-dictatorial SCR satisfying three desirable properties. Considering this negative axiomatic result, in this paper we determine distances of SCRs...

In finitely additive exchange economies the usual definition of competitive equilibrium can result in an empty equilibrium set, and therefore one has to consider notions of ε-competitive equilibria. In this paper we investigate the relationship between two notions of ε-competitive equilibria.

In this paper we determine the asymptotic behavior of the Non-dictatorship Index (NDI) introduced in Bednay, Moskalenko and Tasnádi (2019). We show that if m denotes the number of alternatives, then as the number of voters tends to infinity the NDI of any anonymous voting rule tends to ( m −...

The mixed-strategy equilibrium of the symmetric production-in-advance type capacity-constrained Bertrand-Edgeworth duopoly game has not been derived analytically over the entire range of intermediate capacities in the literature. In this paper we derive for the missing region a symmetric...

A szavazási eljárások távolságminimalizálási problémák megoldásaiként is levezethetők. A MedRank algoritmus meglehetősen erős feltételek mellett minimalizálja a Spearman-féle colstok távolságot. Rávilágítunk ennek az eredménynek a korlátaira, és megvizsgáljuk a MedRank...

Weiss (1981) established core equivalence and the existence of competitive equilibria in finitely additive exchange economies. To underline the relevance of finitely additive economies we present in this note an example with a close connection to finite exchange economies.