Arkadii Slinko
Biographic Data
| ID | 4386236 |
|---|---|
| NAME | Arkadii Slinko |
| GIVEN NAMES | Arkadii |
| FAMILY NAME | Slinko |
| SIGNATURE | SLINKO A |
| AFFILIATIONS | University of Auckland |
| ORCID | 0000-0002-0397-6290 |
| VERIFIED | Yes |
| TOTAL WORKS | 13 |
| TOTAL CITATIONS | 11 |
| AUTHOR COUNT | 13 |
| EDITOR COUNT | 0 |
| FIRST PUBLICATION YEAR | 2004 |
| LATEST PUBLICATION YEAR | 2026 |
| H-INDEX | 2 |
Participatory budgeting with cumulative votes
In participatory budgeting a group of decision makers is given a set of projects—each with a cost—and has to decide which projects should be funded within the constraints of an available budget. Each decision maker, in some form, expresses their preference over the projects. The goal of an aggregation procedure is to select—based on voter preferences—a subset of projects whose total cost does not exceed the budget and optimal in some sense. We pr…
A family of condorcet domains that are single-peaked on a circle
Fishburn’s alternating scheme domains occupy a special place in the theory of Condorcet domains. Karpov (2023) generalised these domains and made an interesting observation proving that all of them are single-peaked on a circle. However, an important point that all generalised Fishburn domains are maximal Condorcet domain remained unproved. We fill this gap and suggest a new combinatorial interpretation of generalised Fishburn’s domains which pro…
Note on “A classification of peak-pit maximal Condorcet domains” by Guanhao Li, Mathematical Social Sciences 125 (2023), 42–57
The note presents a counter example to Li (2023)
Constructing large peak-pit Condorcet domains
We present a new method of constructing Condorcet domains from pairs of Condorcet domains of smaller sizes (concatenation + shuffle scheme). The concatenation + shuffle scheme provides maximal, connected, copious, peak-pit domains whenever the original domains have these properties. It allows to construct maximal peak-pit Condorcet domains that are larger than those obtained by the Fishburn’s alternating scheme for all $$n\ge 13$$ n ≥ 13 alternat…
Towards a classification of maximal peak-pit Condorcet domains
Cognitive hierarchy and voting manipulation in k -approval voting
Gibbard–Satterthwaite games for k -approval voting rules
Mixing discount functions
Growth of dimension in complete simple games
Weightedness and structural characterization of hierarchical simple games
Weighted and roughly weighted simple games
Proportional Representation and Strategic Voters
The goal of this paper is to examine the incentives to vote insincerely, other than those created by rounding, faced by voters in systems of proportional representation (PR). We rigorously investigate two models of voter behaviour. The first model assumes that a voter is primarily interested in the distribution of seats in the post-election parliament (seat maximizer) while the second considers a voter who is concerned with the distribution of po…
How large should a coalition be to manipulate an election
Proportional Representation and Strategic Voters
The goal of this paper is to examine the incentives to vote insincerely, other than those created by rounding, faced by voters in systems of proportional representation (PR). We rigorously investigate two models of voter behaviour. The first model assumes that a voter is primarily interested in the distribution of seats in the post-election parliament (seat maximizer) while the second considers a voter who is concerned with the distribution of po…
Gibbard–Satterthwaite games for k -approval voting rules
Towards a classification of maximal peak-pit Condorcet domains
Growth of dimension in complete simple games
Weightedness and structural characterization of hierarchical simple games
Weighted and roughly weighted simple games
How large should a coalition be to manipulate an election
Proportional Representation and Strategic Voters
The goal of this paper is to examine the incentives to vote insincerely, other than those created by rounding, faced by voters in systems of proportional representation (PR). We rigorously investigate two models of voter behaviour. The first model assumes that a voter is primarily interested in the distribution of seats in the post-election parliament (seat maximizer) while the second considers a voter who is concerned with the distribution of po…
Weighted and roughly weighted simple games
Weightedness and structural characterization of hierarchical simple games
Growth of dimension in complete simple games
Gibbard–Satterthwaite games for k -approval voting rules
Mixing discount functions
Cognitive hierarchy and voting manipulation in k -approval voting
Towards a classification of maximal peak-pit Condorcet domains
Constructing large peak-pit Condorcet domains
We present a new method of constructing Condorcet domains from pairs of Condorcet domains of smaller sizes (concatenation + shuffle scheme). The concatenation + shuffle scheme provides maximal, connected, copious, peak-pit domains whenever the original domains have these properties. It allows to construct maximal peak-pit Condorcet domains that are larger than those obtained by the Fishburn’s alternating scheme for all $$n\ge 13$$ n ≥ 13 alternat…
A family of condorcet domains that are single-peaked on a circle
Fishburn’s alternating scheme domains occupy a special place in the theory of Condorcet domains. Karpov (2023) generalised these domains and made an interesting observation proving that all of them are single-peaked on a circle. However, an important point that all generalised Fishburn domains are maximal Condorcet domain remained unproved. We fill this gap and suggest a new combinatorial interpretation of generalised Fishburn’s domains which pro…
Note on “A classification of peak-pit maximal Condorcet domains” by Guanhao Li, Mathematical Social Sciences 125 (2023), 42–57
The note presents a counter example to Li (2023)
Participatory budgeting with cumulative votes
In participatory budgeting a group of decision makers is given a set of projects—each with a cost—and has to decide which projects should be funded within the constraints of an available budget. Each decision maker, in some form, expresses their preference over the projects. The goal of an aggregation procedure is to select—based on voter preferences—a subset of projects whose total cost does not exceed the budget and optimal in some sense. We pr…
Mathematics (12 works) · Computer Science (10 works) · Mathematical economics (10 works) · Game Theory and Voting Systems (7 works) · Combinatorics (6 works) · Mathematical analysis (5 works) · Political science (5 works) · Complexity and Algorithms in Graphs (4 works) · Law (4 works) · Voting (4 works)