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Arkadii Slinko

Biographic Data

ID4386236
NAMEArkadii Slinko
GIVEN NAMESArkadii
FAMILY NAMESlinko
SIGNATURESLINKO A
AFFILIATIONSUniversity of Auckland
ORCID0000-0002-0397-6290
VERIFIEDYes
TOTAL WORKS13
TOTAL CITATIONS11
AUTHOR COUNT13
EDITOR COUNT0
FIRST PUBLICATION YEAR2004
LATEST PUBLICATION YEAR2026
H-INDEX2
  • Participatory budgeting with cumulative votes

    Open Access•Piotr Skowron, Arkadii Slinko et al.•ARTICLE•Theory and Decision•2026

    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

    Open Access•Arkadii Slinko•ARTICLE•Social Choice and Welfare•2024

    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

    Open Access•Clemens Puppe, Arkadii Slinko•ARTICLE•Mathematical Social Sciences•2024•References: 1

    The note presents a counter example to Li (2023)

  • Constructing large peak-pit Condorcet domains

    Open Access•Alexander Karpov, Arkadii Slinko•ARTICLE•Theory and Decision•2023

    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

    Open Access•Guanhao Li, Clemens Puppe et al.•ARTICLE•Mathematical Social Sciences•2021•Cited by: 1•References: 11

  • Cognitive hierarchy and voting manipulation in k -approval voting

    Open Access•Edith Elkind, Umberto Grandi et al.•ARTICLE•Mathematical Social Sciences•2020•References: 42

  • Gibbard–Satterthwaite games for k -approval voting rules

    Open Access•Umberto Grandi, Daniel Hughes et al.•ARTICLE•Mathematical Social Sciences•2019•Cited by: 3•References: 18

  • Mixing discount functions

    Open Access•Nina Anchugina, Matthew Ryan et al.•ARTICLE•Mathematical Social Sciences•2019•References: 29

  • Growth of dimension in complete simple games

    Open Access•Liam O’Dwyer, Arkadii Slinko•ARTICLE•Mathematical Social Sciences•2017•Cited by: 1•References: 15

  • Weightedness and structural characterization of hierarchical simple games

    Open Access•Tatiana Gvozdeva, Ali Hameed et al.•ARTICLE•Mathematical Social Sciences•2013•Cited by: 1•References: 12

  • Weighted and roughly weighted simple games

    Open Access•Tatiana Gvozdeva, Arkadii Slinko•ARTICLE•Mathematical Social Sciences•2011•Cited by: 1•References: 14

  • Proportional Representation and Strategic Voters

    Open Access•Arkadii Slinko, Shaun White•ARTICLE•Journal of Theoretical Politics•2010•Cited by: 4•References: 27

    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

    Open Access•Arkadii Slinko•ARTICLE•Mathematical Social Sciences•2004•References: 10

  • Proportional Representation and Strategic Voters

    Open Access•Arkadii Slinko, Shaun White•ARTICLE•Journal of Theoretical Politics•2010•Cited by: 4•References: 27

    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

    Open Access•Umberto Grandi, Daniel Hughes et al.•ARTICLE•Mathematical Social Sciences•2019•Cited by: 3•References: 18

  • Towards a classification of maximal peak-pit Condorcet domains

    Open Access•Guanhao Li, Clemens Puppe et al.•ARTICLE•Mathematical Social Sciences•2021•Cited by: 1•References: 11

  • Growth of dimension in complete simple games

    Open Access•Liam O’Dwyer, Arkadii Slinko•ARTICLE•Mathematical Social Sciences•2017•Cited by: 1•References: 15

  • Weightedness and structural characterization of hierarchical simple games

    Open Access•Tatiana Gvozdeva, Ali Hameed et al.•ARTICLE•Mathematical Social Sciences•2013•Cited by: 1•References: 12

  • Weighted and roughly weighted simple games

    Open Access•Tatiana Gvozdeva, Arkadii Slinko•ARTICLE•Mathematical Social Sciences•2011•Cited by: 1•References: 14

  • How large should a coalition be to manipulate an election

    Open Access•Arkadii Slinko•ARTICLE•Mathematical Social Sciences•2004•References: 10

  • Proportional Representation and Strategic Voters

    Open Access•Arkadii Slinko, Shaun White•ARTICLE•Journal of Theoretical Politics•2010•Cited by: 4•References: 27

    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

    Open Access•Tatiana Gvozdeva, Arkadii Slinko•ARTICLE•Mathematical Social Sciences•2011•Cited by: 1•References: 14

  • Weightedness and structural characterization of hierarchical simple games

    Open Access•Tatiana Gvozdeva, Ali Hameed et al.•ARTICLE•Mathematical Social Sciences•2013•Cited by: 1•References: 12

  • Growth of dimension in complete simple games

    Open Access•Liam O’Dwyer, Arkadii Slinko•ARTICLE•Mathematical Social Sciences•2017•Cited by: 1•References: 15

  • Gibbard–Satterthwaite games for k -approval voting rules

    Open Access•Umberto Grandi, Daniel Hughes et al.•ARTICLE•Mathematical Social Sciences•2019•Cited by: 3•References: 18

  • Mixing discount functions

    Open Access•Nina Anchugina, Matthew Ryan et al.•ARTICLE•Mathematical Social Sciences•2019•References: 29

  • Cognitive hierarchy and voting manipulation in k -approval voting

    Open Access•Edith Elkind, Umberto Grandi et al.•ARTICLE•Mathematical Social Sciences•2020•References: 42

  • Towards a classification of maximal peak-pit Condorcet domains

    Open Access•Guanhao Li, Clemens Puppe et al.•ARTICLE•Mathematical Social Sciences•2021•Cited by: 1•References: 11

  • Constructing large peak-pit Condorcet domains

    Open Access•Alexander Karpov, Arkadii Slinko•ARTICLE•Theory and Decision•2023

    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

    Open Access•Arkadii Slinko•ARTICLE•Social Choice and Welfare•2024

    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

    Open Access•Clemens Puppe, Arkadii Slinko•ARTICLE•Mathematical Social Sciences•2024•References: 1

    The note presents a counter example to Li (2023)

  • Participatory budgeting with cumulative votes

    Open Access•Piotr Skowron, Arkadii Slinko et al.•ARTICLE•Theory and Decision•2026

    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)

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