Nikolai S. Kukushkin
Scientific Publications



Jump to: Articles in Edited Volumes; Books and Booklets; Publications by the Dorodnicyn Computing Center; Working Papers


Journal Articles


Kukushkin N.S. A universal construction generating potential games.
Games and Economic Behavior,
accepted in 2017.
abstract (PDF)

Kukushkin N.S. Inseparables: exact potentials and addition.
Economics Bulletin, 2017, 37(2): 1176–1181.
PDF

Kukushkin N.S. A structure of utility functions that ensures the existence of an exact potential in a strategic game.
Doklady Akademii Nauk, 2017, 472(5): 509–511.
(in Russian; an English translation in Doklady Mathematics 2017, 95(1), 65–67)

Kukushkin N.S. Strong Nash equilibrium in games with common and complementary local utilities.
Journal of Mathematical Economics, 2017, 68: 1–12.
abstract (PDF)

Kukushkin N.S. Cournot tatonnement and potentials.
Journal of Mathematical Economics, 2015, 59: 117-127.
abstract (PDF)

Kukushkin N.S. The single crossing conditions for incomplete preferences.
International Journal of Game Theory, 2015, 44: 225-251.
abstract (PDF)

Kukushkin N.S. Rosenthal's potential and a discrete version of the Debreu-Gorman Theorem.
Matematicheskaya Teoriya Igr i ee Prilozheniya, 2014, 6(2): 60-77.
(in Russian; an English translation in Automation and Remote Control 2015, 76(6): 1101–1110; an English PDF)

Kukushkin N.S. Novshek's trick as a polynomial algorithm.
Discrete Applied Mathematics, 2014, 162: 28-31.
abstract (PDF)

Kukushkin N.S. Increasing selections from increasing multifunctions.
Order, 2013, 30: 541-555.
abstract (PDF)

Kukushkin N.S. Monotone comparative statics: changes in preferences versus changes in the feasible set.
Economic Theory, 2013, 52: 1039-1060.
abstract (PDF)

Kukushkin N.S. On the existence of optima in complete chains and lattices.
Journal of Optimization Theory and Applications, 2012, 154: 759–767.
abstract (PDF)

Kukushkin N.S. Cournot tatonnement and dominance solvability in finite games.
Discrete Applied Mathematics, 2012, 160: 948–958.
abstract (PDF)

Kukushkin N.S. Nash equilibrium in compact-continuous games with a potential.
International Journal of Game Theory, 2011, 40: 387–392.
abstract (PDF)

Kukushkin N.S. Acyclicity of improvements in finite game forms.
International Journal of Game Theory, 2011, 40: 147–177.
abstract (PDF)

Kukushkin N.S. Properties of the choice function generated by a binary relation on convex subsets.
Doklady Akademii Nauk, 2010, 432(4): 461–464.
(in Russian; an English translation in Doklady. Mathematics 2010, 81(3), 487–489 doi)

Kukushkin N.S. On the monotonicity of optimal choice in a parameter.
Doklady Akademii Nauk, 2009, 425(5): 605–609.
(in Russian; an English translation in Doklady Mathematics 2009, 79(2), 296–300 doi)

Savvateev A.V., Kukushkin N.S. Ordinal comparative statics: the continuous case.
Ekonomika i Matematichekie Metody, 2009, 45(1): 83–86.
(in Russian)

Kukushkin N.S. Maximizing an interval order on compact subsets of its domain.
Mathematical Social Sciences, 2008, 56: 195–206.
abstract (PDF)

Kukushkin N.S. On the existence of maximal elements: An impossibility theorem.
Discrete Applied Mathematics, 2008, 156: 1988–1993.
abstract (PDF)

Kukushkin N.S. Potential games with NM utilities.
Economics Bulletin, 2008, 3(17): 1–7.
PDF

Kukushkin N.S., Litan C.M., Marhuenda F.
On the generic finiteness of equilibrium outcome distributions in bimatrix game forms.
Journal of Economic Theory, 2008, 139: 392–395.
abstract (PDF)

Kukushkin N.S. Congestion games revisited.
International Journal of Game Theory, 2007, 36: 57–83.
abstract (PDF)

Kukushkin N.S. Shapley's "2 by 2" theorem for game forms.
Economics Bulletin, 2007, 3(33): 1–5.
PDF
(PDF, a typo corrected)

Kukushkin N.S. Monotonicity-based conditions for the acyclicity of Cournot tatonnement.
Doklady Akademii Nauk, 2007, 413(4): 457–460.
(in Russian; an English translation in Doklady. Mathematics 2007, 75(2), 273–276)

Kukushkin N.S. Properties of the choice function generated by a binary relation on compact subsets.
Doklady Akademii Nauk, 2005, 405(3): 307-310.
(in Russian; an English translation in Doklady. Mathematics 2005, 72(3), 891–894)

Kukushkin N.S., Takahashi S., Yamamori T.
Improvement dynamics in games with strategic complementarities.
International Journal of Game Theory, 2005, 33: 229–238.
abstract (PDF)

Kukushkin N.S. Games with common intermediate objectives.
Doklady Akademii Nauk, 2004, 398(4): 449–452.
(in Russian; an English translation in Doklady. Mathematics 2004, 70(2), 735–738)
[Correction: Doklady Akademii Nauk, 2007, 412(5): 579]

Kukushkin N.S. Best response dynamics in finite games with additive aggregation.
Games and Economic Behavior, 2004, 48: 94–110.
abstract (PDF)

Kukushkin N.S. Path independence and Pareto dominance.
Economics Bulletin, 2004, 4(3): 1–3.
PDF

Kukushkin N.S. Maximal elements, fixed points, and quasicontinuous orderings.
Doklady Akademii Nauk, 2003, 388(4): 443–446.
(in Russian; an English translation in Doklady. Mathematics 2003, 67(1), 39–41)

Kukushkin N.S. Perfect information and potential games.
Games and Economic Behavior, 2002, 38: 306–317.
abstract

Kukushkin N.S. Nash equilibrium in games with additive aggregation.
Ekonomika i Matematicheskie Metody, 2000, 36(4): 58–66.
(in Russian).

Kukushkin N.S. Potentials for binary relations and systems of monotonic reactions.
Doklady Akademii Nauk, 2000, 373(1): 23–25.
(in Russian; an English translation in Doklady. Mathematics 2000, 62(1), 16–18)

Kukushkin N.S. Potential games: A purely ordinal approach.
Economics Letters, 1999, 64: 279–283.
abstract

Kukushkin N.S. Fixed-point theorems for systems of decreasing mappings with additive aggregation.
Doklady Akademii Nauk, 1998, 362(2): 158–160.
(in Russian; an English translation in Doklady. Mathematics 1998, 58(2), 197–199)

Kukushkin N.S. An existence result for coalition-proof equilibrium.
Economics Letters, 1997, 57: 269-273.
abstract

Kukushkin N.S. Two-person game forms guaranteeing the stability against commitment and delaying tactics.
International Journal of Game Theory, 1995, 24: 37–48.
abstract

Kukushkin N.S. A condition for the existence of a Nash equilibrium in games with public and private objectives.
Games and Economic Behavior, 1994, 7: 177–192.
abstract

Kukushkin N.S. A fixed-point theorem for decreasing mappings.
Economics Letters, 1994, 46: 23–26.
abstract

Kukushkin N.S. A new sufficient condition for the existence of equilibrium in the Cournot model.
Doklady Akademii Nauk, 1993, 331: 674–676.
(in Russian; an English translation in Russian Academy of Sciences, Doklady, Mathematics 1994, 48(1), 195–199)

Kukushkin N.S. On existence of stable and efficient outcomes in games with public and private objectives.
International Journal of Game Theory, 1992, 20: 295–303.
abstract

Kukushkin N.S. On the existence of stable outcomes in a game-theoretical model of an economy with public goods.
Doklady Akademii Nauk SSSR, 1991, 320(1): 25–28.
(in Russian; an English translation in Soviet Mathematics, Doklady 1992, 44(2), 381–385)

Kukushkin N.S. On the transmission of information for decision making.
Izvestia Akademii Nauk. Tekhnicheskaia Kibernetika, 1989, (3): 178–180.
(in Russian; an English translation in Soviet Journal of Computer and Systems Sciences, 1990, 28(2), 142–144)

Kukushkin N.S. On a class of games possessing stable outcomes.
Doklady Akademii Nauk SSSR, 1989, 307(4): 799–802.
(in Russian; an English translation in Soviet Mathematics, Doklady 1990, 40(1), 157–160)

Kukushkin N.S., Navruzov S.T. On the problem of rational control of a cascade of hydroelectric power stations.
Doklady Akademii Nauk Tadzhikskoi SSR, 1988, 31(10): 641–643.
(in Russian)

Kukushkin N.S. Stability of the nucleolus in games with structured payoff functions.
Doklady Akademii Nauk SSSR, 1986, 290(5): 1045–1047.
(in Russian; an English translation in Soviet Mathematics, Doklady 1987, 34, 381–383)

Kukushkin N.S., Menshikov I.S., Menshikova O.R., Moiseev N.N.
On a class of game-theoretic constructions of interest for ecology.
Doklady Akademii Nauk SSSR, 1986, 287(5): 1044–1046.
(in Russian; an English translation in Soviet Mathematics, Doklady 1986, 33, 472–474)

Kukushkin N.S., Menshikov I.S., Menshikova O.R., Moiseev N.N.
Stable compromises in games with structured payoff functions.
Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki, 1985, 25(12): 1761–1776.
(in Russian; an English translation in USSR Computational Mathematics and Mathematical Physics 1985, 25(6), 108–116)

Kukushkin N.S. On hierarchical three-person games.
Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki, 1982, 22(5): 1067–1073.
(in Russian; an English translation in USSR Computational Mathematics and Mathematical Physics 1982, 22(5), 44–51)

Kukushkin N.S. Non-cooperative three-person games with a fixed hierarchical structure.
Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki, 1979, 19(4): 896–911.
(in Russian; an English translation in USSR Computational Mathematics and Mathematical Physics 1979, 19(4), 106–121)

Kukushkin N.S. Equilibrium points in meta-games.
Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki, 1974, 14(2): 312–320.
(in Russian; an English translation in USSR Computational Mathematics and Mathematical Physics 1974, 14(2), 38–45)

Kononenko A.F., Kukushkin N.S. Mixed strategies in games with a fixed sequence of moves.
Doklady Akademii Nauk SSSR, 1973, 209(6): 1274–1277.
(in Russian; an English translation in Soviet Mathematics, Doklady 1973, 14, 619–623)

Vatel' I.A., Kukushkin N.S.
Optimal conduct of a player who moves first with incomplete knowledge of the partner's preferences.
Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki, 1973, 13(2): 303–310.
(in Russian; an English translation in USSR Computational Mathematics and Mathematical Physics 1973, 13(2), 38–48)

Kukushkin N.S. On a game with incomplete information.
Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki, 1973, 13(1): 210–216.
(in Russian; an English translation in USSR Computational Mathematics and Mathematical Physics 1973, 13(1), 271–280)

Kukushkin N.S. The role of mutual information in two-person games with non-opposed interests.
Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki, 1972, 12(4): 1029–1034.
(in Russian; an English translation in USSR Computational Mathematics and Mathematical Physics 1972, 12(4), 231–239)


Articles in Edited Volumes


Kukushkin N.S.
Cournot tatonnement in aggregative games with monotone best responses.
In: Equilibrium Theory for Cournot Oligopolies and Related Games:
Essays in Honour of Koji Okuguchi. (P. von Mouche and F. Quartieri, eds.)
Springer International Publishing, 2016, P.31–45. (DOI 10.1007/978-3-319-29254-0_4) ISBN
978-3-319-29253-3
(PDF)

Kukushkin N.S., Menshikov I.S., Menshikova O.R., Moiseev N.N.
Mathematical models and a theory of "Institutes of Consensus."
In: Modelling the Processes of Global Development and Cooperation.
(D. M. Gvishiani, E. P. Velikhov, and V. M. Leibin, eds.)
Nauka, Moscow, 1991, P.160–199. ISBN 5-02-010521-X
(in Russian)

Kukushkin N.S., Menshikov I.S., Menshikova O.R., Morozov V.V.
A study of resource allocation games.
In: Software and Models of Operations Research.
(L. N. Korolev and P. S. Krasnoshchekov, eds.) Moscow State University, 1986, P.126–144.
(in Russian; English translation in: Computational Mathematics and Modeling 1990, 1(4), P.433-444)

Kukushkin N.S. An axiomatic definition of the maximum.
In: Mathematical Methods in Operations Research.
(N. N. Moiseev and P. S. Krasnoshchekov, eds.) Moscow State University, 1981, P.91–92.
(in Russian)

Kukushkin N.S. Stable compromises under corrupt arbitration.
In: Mathematical Models of Behavior. No.4. (O. V. Shimel'fenig, ed.)
Saratov State University, 1978, P.85–88.
(
in Russian; English translation in:
Russian Contributions to Game Theory and Equilibrium Theory
[T.S.H. Driessen, G. van der Laan, V.A. Vasil’ev, and E.B. Yanovskaya, eds.]
Springer, Berlin – Heidelberg – New York, 2006, P.175–178. ISBN 978-3-540-31405-9)


Books and Booklets


Kukushkin N.S., Menshikov I.S., Menshikova O.R.
Conflicts and Compromises.
Znanie, Moscow, 1986.
(in Russian)

Kukushkin N.S., Morozov V.V.
A Theory of Non-Antagonistic Games. (2nd ed.)
Moscow State University, 1984.
(in Russian)

Kukushkin N.S., Morozov V.V.
A Theory of Non-Antagonistic Games.
Moscow State University, 1977.
(in Russian)


Publications by the Dorodnicyn Computing Center, Moscow


Kukushkin N.S. Maximizing a Preference Relation on Complete Chains and Lattices. 2013.
(
PDF)

Kukushkin N.S. Improvement Paths in Strategic Games: A Topological Approach. 2010.
(PDF)

Kukushkin N.S. Maximizing a Binary Relation on Convex Subsets of Its Domain. 2009.
(PDF)

Kukushkin N.S. Monotonicity Conditions, Monotone Selections, and Equilibria. 2008.
(PDF)

Kukushkin N.S. Aggregation and Acyclicity in Strategic Games. 2007.
(PDF)

Kukushkin N.S. Acyclicity and Aggregation in Strategic Games. 2006.
(PDF)

Kukushkin N.S. Maximizing a Binary Relation on Compact Subsets. 2005.
(PDF)

Kukushkin N.S. Acyclicity of Improvements in Games with Common Intermediate Objectives. 2004.
(PDF,
revised 2006)

Kukushkin N.S. Acyclicity of Monotonic Endomorphisms. 2003.
(PDF)

Kukushkin N.S. Unfocussed Nash Equilibria. 2002.
(PDF,
revised 2003)

Kukushkin N.S. Potentials for Binary Relations and Systems of Reactions. 2000.
(
Scanned PDF , about 25 Mb)

Ermolov A.N., Kukushkin N.S. Mathematical Models of Mediatory Decision Making. 1991. (in Russian)

Kukushkin N.S. The Existence of Stable Outcomes in Conflict Situations with a Group Structure of Objective Functions. 1989. (in Russian)

Kukushkin N.S. Analytical Models for the Optimization of Control of Hydroelectric Power Stations. 1986. (in Russian)


Working Papers


Kukushkin N.S. Better response dynamics and Nash equilibrium in discontinuous games.
MPRA Paper
81460, University Library of Munich, Germany. 2017.

Kukushkin N.S. Nash equilibrium with discontinuous utility functions: Reny's approach extended.
MPRA Paper 75862, University Library of Munich, Germany. 2016.

Kukushkin N.S., Quah J.K.-H., Shirai K.
A counterexample on the completion of preferences with single crossing differences.
MPRA Paper 73760, University Library of Munich, Germany. 2016.

Kukushkin N.S. A universal construction generating potential games.
MPRA Paper 71664, University Library of Munich, Germany. 2016.

Kukushkin N.S. Cournot tatonnement in aggregative games with monotone best responses.
MPRA Paper 66976, University Library of Munich, Germany. 2015.

Kukushkin N.S. Robert Louis Stevenson's Bottle Imp: A strategic analysis.
MPRA Paper 64639, University Library of Munich, Germany. 2015.

Kukushkin N.S. Cournot tatonnement and potentials.
MPRA Paper 59523, University Library of Munich, Germany. 2014.

Kukushkin N.S. Strong equilibrium in games with common and complementary local utilities.
MPRA Paper 55499, University Library of Munich, Germany. 2014.

Kukushkin N.S. Rosenthal's potential and a discrete version of the Debreu-Gorman Theorem.
MPRA Paper 54171, University Library of Munich, Germany. 2014.

Kukushkin N.S. Approximate Nash equilibrium under the single crossing conditions.
MPRA Paper 44320, University Library of Munich, Germany. 2013.

Kukushkin N.S. Strategic complementarity and substitutability without transitive indifference.
MPRA Paper 34866, University Library of Munich, Germany. 2011.

Kukushkin N.S. Monotone comparative statics: Changes in preferences vs changes in the feasible set.
MPRA Paper 31612, University Library of Munich, Germany. 2011.

Kukushkin N.S. On the existence of most-preferred alternatives in complete lattices.
MPRA Paper 27504, University Library of Munich, Germany. 2010.

Kukushkin N.S. On continuous ordinal potential games.
MPRA Paper 20713, University Library of Munich, Germany. 2010.

Kukushkin N.S. Another characterization of quasisupermodularity.
MPRA Paper 18237, University Library of Munich, Germany. 2009.

Kukushkin N.S. On the existence of monotone selections.
MPRA Paper 15845, University Library of Munich, Germany. 2009.

Kukushkin N.S. Acyclicity of improvements in finite game forms.
MPRA Paper 11802, University Library of Munich, Germany. 2008.

Kukushkin N.S. Best response adaptation under dominance solvability.
MPRA Paper 11704, University Library of Munich, Germany. 2008.

Kukushkin N.S., Litan C.M., Marhuenda F.
On the generic finiteness of equilibrium outcome distributions in bimatrix game forms.
MPRA Paper 3350, University Library of Munich, Germany. 2007.

Kukushkin N.S. On the choice of most-preferred alternatives.
MPRA Paper 803, University Library of Munich, Germany. 2006.

Kukushkin N.S. Congestion games revisited.
Game Theory and Information 0412010, EconWPA. 2006.

Kukushkin N.S. On the existence of maximal elements: An impossibility theorem.
Game Theory and Information 0509004, EconWPA. 2005.

Kukushkin N.S. 'Strategic supplements' in games with polylinear interactions.
Game Theory and Information 0411008, EconWPA. 2005.

Kukushkin N.S. Some classes of potential and semi-potential games.
Working Paper 307, University of Bielefeld, Institute of Mathematical Economics. 1999.

Kukushkin N.S. Symmetries of games with public and private objectives.
Working Paper 296, University of Bielefeld, Institute of Mathematical Economics. 1998.

Kukushkin N.S. Systems of decreasing reactions and their fixed points.
Working Paper 294, University of Bielefeld, Institute of Mathematical Economics. 1998.

Kukushkin N.S. Separable aggregation and the existence of Nash equilibrium.
Working Paper 248, University of Bielefeld, Institute of Mathematical Economics. 1995.
(
Scanned PDF)

Kukushkin N.S. Cournot oligopoly with "almost" identical convex costs.
Working Papers Serie AD 1993-07, Instituto Valenciano de Investigaciones Economicas (IVIE). 1993.

Kukushkin N.S. Nash equilibria of informational extensions.
Working Paper 204, University of Bielefeld, Institute of Mathematical Economics. 1991.

Kukushkin N.S. On existence of stable and efficient outcomes in games with public and private objectives.
Working Paper 203, University of Bielefeld, Institute of Mathematical Economics. 1991.


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