Dr Arkadii Slinko PhD, DSc (Sobolev Institute of Mathematics) Associate Professor (1993) Department of Mathematics Room Number: 409 Extension: 85749 Fax: 64-9-3737457 E-mail: slinkomath.auckland.ac.nz Current Research Areas: 1) Mathematical politics and mathematical economics, 2) Computational Social Choice, especially applications of parameterized complexity. 3) Applied algebra and combinatorics with particular interest in mathematics of voting and decision making in general, 2) Education of gifted and, in particular, mathematics olympiads as educational tool

My Curriculum Vitae in pdf format.

Publications

Recent working papers and papers in print:

• On choice in a complex environment (with Murali Agastya).
  
• Non-dictatorial Social Choice Rules Are Safely Manipulable. Electronic Proceedings oof COMSOC-2, Liverpool, September, 2008.
• Is It Ever Safe to Vote Strategically? (with Shaun White) Report Series N.563. Department of Mathematics. The University of Auckland, July, 2008
• Orders on Subsets Rationalised by Abstract Convex Geometries (with Matthew Ryan and Walter Bossert)
• On the Manipulability of Proportional Representation (with Shaun White). The Centre for Interuniversity Research in Qualitative Economics (CIREQ), Cahier 12-2006. University of Montreal, 2006\\ http://www.cireq.umontreal.ca/publications/12-2006-cah.pdf
  

Recently published papers in journals and conference proceedings:

• Additive representation of finite measurement structures (survey). Additive Representability of Finite Measurement Structures. In: "The Mathematics of Preference, Choice, and Order: Essays in Honor of Peter C. Fishburn". Eds. SJ Brams, WV Gehrlein and FS Roberts. Springer, 2009.
  
• Approximability of Dodgson's rule (with John McCabe-Dansted and Geoffrey Pritchard), Social Choice and Welfare, 2008, Volume 31(2): 311--330
  
• Self-Selective Social Choice Functions (with Semih Koray), Social Choice and Welfare, 2008, 31(1): 129--149. Springer online (2007) DOI: 10.1007/s00355-007-0276-6
  
• Ranking Committees, Income Streams or Multisets (with M. Sertel), Economic Theory, 2007, 30(2): 265--287.
• On Complexity of Lobbying in Multiple Referenda (with Robin Christian, Mike Fellows and Fran Rosamond), Review of Economic Design, 2007, 11(3): 217--224.
  
• Flippable Pairs and Subset Comparisons in Comparative Probability Orderings (with Robin Christian and Marston Conder) Order, 2007, 24(3): 193-213.
  
• Orders on Multisets and Discrete Cones (with Marston Conder and Simon Marshall) Order, 2007, 24(4): 277--296.
  
• Comparative Probability Orders and the Flip Relation (with Marston Conder and Dominic Searles) The 5th International Simposium on Imprecise Probability: Theories and Applications (ISIPTA 07), Prague, Czech Republic, 2007, 67-76.
  
• Relative Uncertainty Aversion and Additively Representable Set Rankings (with W. Bossert), International Journal of Economic Theory, 2006, 2: 105--122.
  
• On the Average Minimum Size of Manipulating Coalition (with G. Pritchard), Social Choice and Welfare, 2006, 27(2), 263--277.
  
• Exploratory Analysis of Similarities between Common Social Choice Rules (with J. McCabe-Dansted), Decision and Negotiation, 2006, 15(1), 77--107.
  
• How the Size of a Coalition Affects its Chances to Influence an Election , Social Choice and Welfare, 2006, 26(1): 143--153.
  
• On Complexity of Lobbying in Multiple Referenda (with Robin Christian, Mike Fellows and Frances Rosamond), Proceedings of the 1st International Workshop on Computational Social Choice (COMSOC--2006). Eds. Ulle Endriss and Jerome Lang. Universiteit van Amsterdam, 2006, 87--96.
• Approximability of Dodgson's Rule (with John McCabe Dansted and Geoff Pritchard), Proceedings of the 1st International Workshop on Computational Social Choice (COMSOC--2006). Eds. Ulle Endriss and Jerome Lang. Universiteit van Amsterdam, 2006, 331--344.
• Answers to Two Questions of Fishburn on Subset Comparisons in Comparative Probability Orderings (with R. Christian), Proceedings of The 4th International Simposium on Imprecise Probabilities and Their Applications (ISIPTA 05), Pittsburg, Pensylvania, 2005, 117--124.
• A Counterexample to Fishburn's Conjecture on Finite Linear Qualitative Probability (with Marston Conder), Journal of Mathematical Psychology, 2004, 48(6), 425--431.
  
• 1,2,4,8... What comes next? Extracta Mathematicae, 19 (2004), 155-161.
• How Large a Coalitional Should Be to Manipulate an Election?, Mathematical Social Sciences, 2004, 47(3): 289--293.
  

Books

• Rings that are nearly associative (Russian). Izd-vo Nauka, Moskva, 1978, 431 pp. (with Zhevlakov, K.A.; Shestakov, I.P.; Shirshov A.I.). English translation: Rings that are nearly associative. Academic Press, New York - London, 1982, xi+371 pp.
  
• USSR Mathematical Olympiads 1989-1992. Australian Mathematics Trust, Canberra, 1997, 136 pp.
  
• Mathematics Olympiads for Secondary School Students (9th form) (Russian), Prosveschenie, Moscow, 1997, 208 pp (with N.Agahanov, V.Kuptzov, Ju.Nesterenko, S.Reznichenko)
  
• Mathematics Olympiads for School Students of 10th form (Russian), Prosveschenie, Moscow, 1998, 256 pp (with V. Kuptzov, Ju. Nesterenko, S. Reznichenko)
  
• Mathematics Olympiads for School Students of 11th form (Russian), Prosveschenie, Moscow, 1999, 254 pp (with V. Kuptzov, Ju. Nesterenko, S .Reznichenko).

Look also for my preprints at our Department Preprint Server

Other information and useful contacts

1. The New Zealand Mathematical Society
2. The New Zealand Journal of Mathematics
3. Our Department Preprint Server

Address

Dr. A.M.Slinko
Department of Mathematics
University of Auckland
Private Bag 92019, Auckland
NEW ZEALAND