# Garnaev Andrey Yuriyevich

D.Sc., Professor of Department of Computer Modelling and Multiprocessor Systems Room 472, tel. (812) 428-46-64E-mail: agarnaev@rambler.ru;andrey.garnaev@gmail.com |

## Academic degree and appointments

1999, Diploma of Full Professor in Computational Mathematics and Computer Science, The Ministry of a Science, University Education and Technical Policy, Moscow

1997, Doctor of Sciences in Computer Science and Applied Mathematics – Faculty of Mathematics and Mechanics, Saint Petersburg State University, Saint Petersburg

1984-1987, Ph.D., Computer Science - Faculty of Applied Mathematics and Control Processes, Saint Petersburg State University, Saint Petersburg

1977-1982 M.S., Mathematics (with Honour, 5.0 from 5.0) - Faculty of Mathematics and Mechanics, Saint Petersburg State University, Saint Petersburg, Russia

1977 - High School Diploma, School N 19, Tallinn, Estonia.

## Areas of research

Conflict Systems Modelling in Economics, Society and Technical Systems, Conflict Management, Game Theory, Computational Economics and Politics, Search Theory, Learning Systems, Optimization of Distributed Systems and Networks, Net Technologies and Office Programming, Network Security, Mobile Networks, Compressed Sensing

## Publications

# Books

[2000]** **Garnaev A. Search Games and Other Applications of Game Theory (Lecture Notes in Economics and Mathematical Systems Vol. 485), **Springer**, 2000, Math.Reviews ** MR1761053 (2001g:91002)**, Reviewed by Victor J. Baston

[2005] Garnaev A. VBA, in the Original, **BHV**-Saint Petersburg, Saint Petersburg, 2005, 820 pp. (in Russian)

[2004b] Garnaev A. VBA, Self-study, 2nd edition, **BHV**-Saint Petersburg, Saint Petersburg, 2004, 540 pp. (in Russian)

[2004a] Garnaev A. The Most Important Things about Excel, **Piter**, Saint Petersburg, 2004, 120 pp. (in Russian)

[2003] Garnaev A. Visual Studio .NET 2003: Self-Study, **BHV**-Saint Petersburg, Saint Petersburg, 2003, 680 pp. (in Russian)

[2002b] Garnaev A. Microsoft Excel 2002: Developer's Handbook, **BHV**-Saint Petersburg, Saint Petersburg, 2002, 763 pp. (in Russian)

[2002a] Garnaev A. Visual Basic .NET: Developer's Handbook. **BHV**-Saint Petersburg, Saint Petersburg, 2002, 620 pp. (in Russian)

[2001b] Garnaev A., Garnaev S. Web Programming in Java and JavaScript, **BHV**-Saint Petersburg, Saint Petersburg, 2001, 1018 pp. (in Russian)

[2001a] Garnaev A. and others Microsoft Office 2000: Developer's Handbook , **BHV**-Saint Petersburg, Saint Petersburg, 2001, 656 pp. (in Russian)

[2000b] Garnaev A. Excel, VBA, Internet in Economics and Finance, **BHV**-Saint Petersburg, Saint Petersburg, 2000, 796 pp. (in Russian)

[2000a] Garnaev A. Microsoft Excel 2000: Developer's Handbook, **BHV**-Saint Petersburg, Saint Petersburg, 2000, 570 pp. (in Russian)

[1999c] Garnaev A. VBA, Self-study, **BHV**-Saint Petersburg, Saint Petersburg, 1999, 512 pp. (in Russian)

[1999b] Garnaev A. Visual Basic 6.0: developer's Handbook, **BHV**-Saint Petersburg, Saint Petersburg, 1999, 488 pp. (in Russian)

[1999a] Garnaev A. MS Excel and VBA in Economics and Finance, **BHV**-Saint Petersburg, Saint Petersburg, 1999, 372 pp. (in Russian)

[1992] Petrosjan L., Garnaev A. Search Games, **Saint Petersburg University Publisher**, Saint Petersburg, 1992, 218 pp. (in Russian), Math.Reviews MR1189345 (94g:90196)**,** Reviewed by M. S. Shtilman

[1991] Garnaev A.Y., Sedykh L.G., Kristapsons M.Z., Davids V. Biological Purification of Sewage and Agricultural Wastes. Dynamical Models and Optimal Control Processing, Latvian Academy of Sciences, August Kirchenstein Institute of Microbiology, Riga, **Zinatne**, 1991, 190 pp. (in Russian), The Library of Congress (Online Catalog) - LC Control Number:** 91203270**

[2011a] Garnaev A., Rudikova L., Microsoft Office Excel 2010: Application's Development, **BHV**-Saint Petersburg, Saint Petersburg, 2011, 528 pp. (in Russian)

[2011b] Garnaev A., Explicit Solutions of Game Theory in Economics, Military, Search and Wireless Networks. (In preparation for **Springer**.)** **

**Papers**

**Research Refereed Journal Articles**

[a2011c] Zolotukhin M. A., Garnaev A. Y., Zakharov V. V., Data Transmissions with Information Leakage. (In Russian) Vestnik St Petersburg University, Seria 10, Applied Mathematics, 2011, N 2, pp. 32-46

[a2011b] Altman E., Avrachenkov K., Garnaev A. Jamming in Wireless Networks Under Uncertainty. Mobile Networks and Applications, Vol. 16, N2, 2011, pp.246-254

[a2011a] Altman E., Avrachenkov K., Garnaev A. Closed Form Solutions for Water-Filling Problem in Optimization and Game Frameworks. Telecommunication Systems Journal, Vol.47 N1-2, 2011, pp.153-164

[a2010a] Altman E., Avrachenkov K., Garnaev A. Fair Resource Allocation in Wireless Networks in the Presence of a Jammer. Performance Evaluation, vol.67, N4, 2010, pp. 338-349

[a2009d] Garnaev A., Toricin A., Fair Resource Allocation in the Presence of a Jammer,

(In Russian) Mat. Teor. Igr Pril., 2009, Volume 1, Issue 3, Pages 16–30

[a2009c] Garnaev A., Toricin A. A Game-Theoretical Problem of Fair Resource Allocation under Active Noise. (In Russian) Control of Large Systems. Vol. 26.1, 2009, pp.193-208

[a2009b] Galegov A., Garnaev A. A Tax Game in Cournot Duopoly. (In Russian) Mathematical Game Theory and its Applications. Vol. 1, N1, 2009, pp.3-15

[a2009a] Galegov A., Garnaev A. Competitive Homogeneous Production with Different Tax Systems. (In Russian) Vestnik St Petersburg University, Seria 10, Applied Mathematics, 2009, N 4, pp. 33-47

[a2008b] Galegov A., Garnaev A. How Hierarchical Structures Impact on Competition. AUCO Czech Economic Review, 3, 2008, pp.225–234.

[a2008a] Denisova E., Garnaev A. Fish Wars: Cooperative and Non-Cooperative Approaches. AUCO Czech Economic Review, 2008, vol. 2, issue 1, pages 28-40

[a2007a] Garnaev A. Find a Hidden Treasure. Naval Research Logistics, Vol. 54, 2007, p.109-114,

Math.Reviews ** MR2285488 (2007j:90018)** (Reviewer: Ryūsuke Hohzaki)

[a2006d] Baston V., Garnaev A. Competition for Staff between Two Departments. Int. J. Math. Game Theory and Algebra, vol.15, N5, 2006, pp. 531-541. Math.Reviews ** MR2260039 (2007d:91144)**, See also [b2005b]

[a2006c] Belkovskii D.V., Garnaev A.Y. A Competitive Prediction Number Game. Int. J. Math. Game Theory and Algebra, vol.15, N5, 2006, pp. 543-551, Math.Reviews

**[a2006b] Garnaev A., Solovyev A. An Investment Allocation Game with a Cost. Int. J. Math. Game Theory and Algebra, vol.15, N2, 2006, pp. 221-229, Math.Reviews**

**MR2260040****(2007d:91024)****, Reviewed by Mohamed Drissi-Bakhkhat, See also [b2006b]**

**MR2259686****(2007k:91176)**[a2006a] Garnaev A.Y, Szigyarto T.P. A non-zero sum resource allocation search game. (in Russian). Vestnik St Petersburg University, Seria 10, Applied Mathematics, 2006, N 1-2, pp.26-33.

[a2005c] Garnaev A., Solovyev A. On a Two Department Multi Stage Game. (in Russian). Vestnik St Petersburg University, Seria 10, Applied Mathematics, 2005, N 3-4, pp.3-12.

[a2004b] Belkovskii D., Garnaev A., A Competitive Prediction Number Game Under Unsymmetrical Conditions. Int. J. Math. Game Theory Algebra 14 (2004), no. 5, 343–351, Math.Reviews ** MR2316822 (2008h:91006)** Reviewed by Bert Fristedt

[a2004a] Baston V., Garnaev, A. Competition for Staff Between Two Departments. Int. J. Math. Game Theory Algebra 14 (2004), no. 4, 249–260, Math.Reviews **MR2321127** **(2008c:91096)**

[a2000b] Baston V., Garnaev A. A Search Game with a Protector. Naval Research Logistics, vol 47, 2000, pp.85-96, Math.Reviews MR1739547 (2001b:91002)

[a2000a] Baston V., Garnaev A. On a Game in Manufacturing. Mathematical Methods of Operations Research, vol 52, 2000, pp.237-249, Math.Reviews MR1797250 (2002c:91030) Reviewed by Tadeusz Radzik

[a1999a] Garnaev A. On a Sakaguchi's Problem in Noisy and Noisy-Silent Games of Timing. Mathematica Japonica, vol.49, 1999, pp.351-361, Math.Reviews MR1697788 (2000g:91001) Reviewed by Tadashi Kurisu

[a1997c] Garnaev A. On a Ruckle Problem in Discrete Games of Ambush. Naval Research Logistics, vol 44, 1997, pp.353-364, Math.Reviews MR1445978 (98d:90151) Reviewed by Roy Gardner

[a1997b] Baston V., Garnaev A. A Non-Zero-Sum War of Attrition. Mathematical Methods of Operations Research, vol 45, 1997, pp.197-211, Math.Reviews MR1446405 (98e:90229) Reviewed by Jos Potters

[a1997a] Garnaev A., Garnaeva G., Goutal P. On the Infiltration Game. International Journal of Game Theory, vol 26, 1997, pp.215-221, Math.Reviews MR1452228 (98c:90205)

[a1996c] Garnaev A. On a Sakaguchi's Problem in Non-Zero-Sum Games of Timing. Mathematica Japonica, vol.44, 1996, pp.291-301, Math.Reviews MR1416267 (97h:90092) Reviewed by Edward M. Bolger

[a1996b] Garnaev A.Y., Garnaeva G.Y. An Infiltration Game on a Circumference. Int. J. Math. Game Theory and Algebra, vol. 5, 1996, pp.235-240, Math.Reviews MR1455820 (98k:90139) Reviewed by Luisa Gargano

[a1996a] Baston V.J., Garnaev A. A Fast Infiltration Game on n Arcs. Naval Research Logistics, vol 43, 1996, pp.197-211, Math.Reviews MR1388436 (96m:90166)

[a1995b] Baston V.J., Garnaev A.Y. A Teraoka-type Two-person Non-zero-sum Silent Duel. Journal of Optimization Theory and Applications, vol. 87, 1995, pp.539-552, Math.Reviews MR1364111 (97b:90122) Reviewed by Shigeo Muto

[a1995a] Garnaev A. The Value of Sample Information in a Cover-Up Game. Math. Japonica 41, No. 2, 1995, 253-259, Math.Reviews MR1326956 (95m:90158)

[a1994a] Garnaev A. A Remark on the Customs and Smuggler Game. Naval Research Logistics, 41 (1994), no. 2, 287-293, Math.Reviews MR1259700 (95a:90234) Reviewed by Tadeusz Radzik

[a1993b] Garnaev A. On a Mix Game. Internat. Year-Book Game Theory Appl. 1 (1993), 25-33, Math.Reviews MR1254338 (94k:90151) Reviewed by James Bergin

[a1993a] Garnaev A. A Remark on a Helicopter and Submarine Game. Naval Research Logistics, vol. 40, 1993, 745-753, Math.Reviews MR1230782 (94i:90188) Reviewed by Imma J. Curiel

[a1992b] Garnaev A. On Simple MIX Game. International Journal of Game Theory, vol. 21, 1992, 237-247, Math.Reviews MR1205264 (94e:90132), Reviewed by T. Parthasarathy

[a1992a] Garnaev A. Remark on the Princess and Monster Search Game. International Journal of Game Theory, vol.20, 1992, 269-276, Math.Reviews MR1146328 (92m:90069) Reviewed by Sylvain Sorin

[a1991a] Garnaev A. Search Game in a Rectangle. Journal of Optimization Theory and Applications, vol.69, 1991, 531-542, Math.Reviews MR1110512 (92b:90239)

[a1990d] Garnaev A. A Discrete Game on a Line with Information Delay. Avtomat. i Telemekh. 1990, no. 12, 51-59; translation in Automat. Remote Control 51 (1990), no. 12, part 1, 1645-1651 (1991), Math.Reviews MR1101883 (92a:90079)

[a1990c] Garnaev A. Optimal Policies in a Nonlinear Bioeconomic Model of Eulrophicalion. Applied Mathematics and Computation, vol. 35, 1990, 95-102, Math.Reviews MR1047101 (91k:92039) Reviewed by J. Milota

[a1990b] Garnaev A.Y., Sedykh L.G. A Search Game of the Searcher-Searcher Type. Soviet J. Automat. Inform. Sci. 23 (1990), no. 3, 70-73 (1991); translated from Avtomatika 1990, no. 3, 72-74 (Russian), Math.Reviews MR1114723 (92d:90116) Reviewed by Teruhisa Nakai

[a1990a] Garnaev A.Y., Sedykh L.G. Optimal Control of Biological Purification in a Flow-Through Reactor. (Russian) Kibernet. i Vychisl. Tekhn. No. 87, (1990), 35-39, Math.Reviews MR1113599

[a1989c] Garnaev A. A Discrete Game with Time Lag on a Plane. Avtomat. i Telemekh. 1989, no. 11, 27-36; Translation in Automat. Remote Control 50 (1989), no.11, part 1, 1480-1487 (1990), Math.Reviews MR1033620 (91f:90147) Reviewed by Maciej Krawczak

[a1989b] Garnaev A.Y., Sedykh L.G. A Discrete Game on a Plane with an Information Delay. (Russian) Kibernet. i Vychisl. Tekhn. No.83, 1989, 44-49, English transl. in Cybernetics and Computing Technology, Allerton Press, New York 1989, Math.Reviews MR1055971 (91i:90100)

[a1989a] Garnaev A.Y., Sedykh L.G. Optimization of the Process of Adsorption of Surface-Active Substances. (In Russian) Colloidal Journal, Vol.LI, 1989, 762-764. English translation in Colloid Journal Vol.51, 1989, American Chemical Society, 1989, Chemical Abstracts 111:202642g

[a1988a] Kafarov V.V., Sedykh L.G., Garnaev A.Y. Optimal Control Synthesis of Waste Water Purification by Active Silt. (In Russian) Dokl. Akad. Nauk USSR 303 (1988), no. 4, 920-924. English translation in Doclady Chemistry. Vol.301-03, pp. 111-115, 1988

[a1987b] Garnaev A.Y. Solution of a Problem of Search in a Domain. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1987, vip.2, 8-14. English translation in Vestnik Leningrad Univ. Math. 20 (1987), no. 2, Math.Reviews MR0926258 (89a:90182) Reviewed by Andrei V. Panteleyev

[a1987a] Sedykh L.G., Garnaev A.Y. Optimal Control of the Purification of Sewage by Active Silt. (In Russian) Dokl. Akad. Nauk USSR 293 (1987), no. 4, 937-940. English translation in Doclady Chemistry. Vol.291-03, 1987, Math.Reviews MR0889158 (89b:90056) Reviewed by M. Yunusi

[a1985a] Garnaev A.Y., Sedykh L.G. A Mathematical Model of Adsorption of Microorganisms Assimilating a Substratum. (In Russian) Studies in Integro-Differential Equations. No.18, 292-300, 399, "Ilim", Frunze, 1985, Math.Reviews MR0823540

[a1984a] Garnaev A.Y., Gluskin E. D. On Widths of the Euclidean Ball. (In Russian) Dokl. Akad. Nauk USSR 277 (1984), no. 5, 1048-1052. English transl. in Sov. Math. Dokl. 30 (1984), American Mathematical Society, Math.Reviews MR0759962 (85m:46023) Reviewed by V. P. Soltan

**Research Refereed Book Chapters**

[b2012b] Garnaev A., Hayel Y., Altman E., Avrachenkov K. Jamming Game in a Dynamic Slotted ALOHA Network. Lecture Notes of the Institute for Computer Sciences, Social Informatics and

Telecommunications Engineering, Vol. 75, (GameNets 2011, Eds.: R. Jain, R. Kannan, and T. Vasilakos), pp. 429-443, 2012.

[b2012a] Garnaev A., Antonova I., Brekelov V., and Marutenkova N. An Impact of Cooperation and Altruism on Transmission. BROADNETS 2010 (Eds. Tomkos et al.), Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, Vol. 66, pp. 274–282, 2012.

[b2010c] Garnaev A, Toritsyn A.A Two-Users Transmission Game in OFDM Wireless Networks with Resource Cost. Lecture Notes in Computer Science, Vol. 6235, 2010, pp.223-234

[b2010b] Xiao, Lei; Avrachenkov, K; Cottatellucci, Laura; Garnaev, A.

Competitive unlicensed spectrum sharing with partial information on slow fading channels.

Lecture Notes in Computer Science, Vol. 6074, 2010, pp 158-169. Proc. of WWIC 2010, 8th International Conference, June 1-3, 2010, Lulea, Sweden

[b2010a] Fokkink R., Garnaev A. A Search Resource Allocation Game. Game Theory and Applications, Vol.15, Nova Sci. Publ., Hauppauge, NY, 2010

[b2009f] Garnaev A., Solovyev A. An Investment Allocation Game with a Cost. Mathematics, Game Theory and Algebra Compendium. Vol.1, Nova Sci. Publ., Hauppauge, NY, 2009, pp.259-267. See also [b2006b]

[b2009e] Baston V., Garnaev A. Competition for Staff between Two Departments. Mathematics, Game Theory and Algebra Compendium. Vol.1, Nova Sci. Publ., Hauppauge, NY, 2009, pp.607-619. See also [b2005b]

[b2009d] Belkovskii D.V., Garnaev A.Y. A Competitive Prediction Number Game. Mathematics, Game Theory and Algebra Compendium. Vol.1, Nova Sci. Publ., Hauppauge, NY, 2009, pp.621-629.

[b2009c] Altman E., Avrachenkov K., Garnaev A. Transmission Power Control Game with SINR as Objective Function. Lecture Notes in Computer Science, v.5425, pp.112-120, 2009

[b2009b] Altman E., Avrachenkov K., Garnaev A. Jamming Game with Incomplete Information about the Jammer. Lecture Notes in Computer Science, vol. 5894, 2009, pp. 219-233. Proc. of NET-COOP 2009, November 23-25, 2009, Eithoven, The Netherlands.

[b2009a] Garnaev A. Trappe W. An Eavesdropping Game with SINR as an Objective Function. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol. 19, 2009, pp. 142-162. Proc. of SECURECOMM2009, September, 2009, Athens, Greece.

[b2008a] Garnaev A. Modeling a Jamming Game for Wireless Networks. In: Modeling, Computation and Optimization (S. K. Neogy, A. K. Das, B. Bapat, Eds.), Statistical Science and Interdisciplinary Research. Vol. 6, World Scientific, 2008, pp 1-8.

[b2007e] Altman E., Avrachenkov K., Garnaev A. Power Level Management in Wireless and DSL Networks. In: Contrubutions to Game Theory and Management. The International Conference Game Theory and Management. June 28-29, 2007, Saint Petersburg, Russia. Collected Papers. 2007, pp 15-41.

[b2007d] Altman E., Avrachenkov K., Garnaev A. Jamming Game in Wireless Networks

with Transmission Cost. Lecture Notes in Computer Science, v.4465, pp.1-12, 2007. Proc. the International Conference on Network Control and Optimization (NET-COOP 2007), June, 2007, Avignon, France, 2nd Best Paper Award.

[b2007c] Altman E., Avrachenkov K., Garnaev A. Closed Form Solutions for Water-Filling Problems in Optimization and Game Frameworks. ACM International Conference Proceeding Series; Vol. 321 Proceedings of the 2nd international conference on Performance evaluation methodologies and tools 2007, Nantes, France, October 22 - 27, 2007 WORKSHOP SESSION: Information theory and power control.

[b2007b] Garnaev A., Toricin A. On a Corruption Game.Game Theory and Applications, Vol. XII, Nova Sci. Publ., Hauppauge, NY, 2007, p.49-58, Math.Reviews **MR2252813**** **

[b2007a] Galegov A., Garnaev A. A Tax Game in a Cournot Duopoly. Game Theory and Applications, Vol. XII, Nova Sci. Publ., Hauppauge, NY, 2007, p.39-48, Math.Reviews **MR2252812**** **

[b2006b] Garnaev A., Solovyev A. An Investment Allocation Game with a Cost. Game Theory and Applications, Vol. XI, Nova Sci. Publ., Hauppauge, NY, 2006.

[b2006a] Garnaev A. A Game-Theoretical Model of Competition for Staff between Two Departments. In: Game Theory and Mathematical Economics. Banach Center Publications, Vol. 71, Polish Acad. Sci., Warsaw, 2006, p.137-145, Math.Reviews MR2244462 (2007f:91088), Reviewed by Manabu Toda.

[b2005b] Baston V., Garnaev A. Competition for Staff between Two Departments. Game Theory and Applications, Vol. X, Nova Sci. Publ., Hauppauge, NY, 2005, p. 13-26, Math.Reviews MR2134741

[b2005a] Belkovskii D.V., Garnaev A.Y. A Competitive Prediction Number Game under Unsymmetrical Conditions. Game Theory and Applications, Vol. X, Nova Sci. Publ., Hauppauge, NY, 2005, p.27-36, Math.Reviews MR2134742 (2006g:60012) Reviewed by Michele Zito

[b2001a] Garnaev A. Parlour Games with a Threshold. Game Theory and Applications. Vol VI, Nova Sci. Publ., Hauppauge, NY, 2001, pp.45-52, Math.Reviews MR1880413

[b2000a] Garnaev A. Value of Information in Optimal Stopping Games. Game Theory and Applications, Vol. V, Nova Sci. Publ., Hauppauge, NY, 2000, pp.55-64, Math.Reviews MR1878107

[b1996b] Garnaev A.,Garnaeva, G. An Infiltration Game on a Circumference. Game Theory and Applications.Vol.II, Nova Sci. Publ., Hauppauge, NY, 1996, pp.11-16, Math.Reviews MR1428245

[b1996a] Garnaev A. On a MIX Game. Game Theory and Applications. Nova Sci. Publ.Vol.I, Hauppauge, NY, 1996, pp.23-31, Math.Reviews MR1414234 (98e:90223) Reviewed by Shigeo Muto

[b1990a] Garnaev A.Y., Sedykh L.G. Optimal Control of a Bioeconomic Problem of Purification. (Russian) In: Modeling of Population Dynamics. Nizhegorod. Gos. Univ., Nizhnii Novgorod, 1990, 38-44, Math.Reviews MR1164489

[b1989d] Garnaev A.Y., Sedykh L.G. Optimization of Processes of the Cleaning of Sinks. (Russian) In: Differential equations and applied problems. Tulsk. Politekhn. Inst., Tula, 1989, 42-45, Math.Reviews MR1132725

[b1989c] Garnaev A.Y. A Game-Theoretic Search Problem in a Rectangular Domain. (Russian) In: Game theory and its applications. Kemer. Gos. Univ., Kemerovo, 1989, 97-108, Math.Reviews MR1066252 (91f:90065)

[b1989b] Garnaev A.Yu., Sedykh L.G. Solution of a Singularly Perturbed Nonlinear Differential Equation of Parabolic Type. (Russian) In: Partial differential equations. Leningrad. Gos. Ped. Inst., Leningrad, 1989, 32-37, Math.Reviews MR1032306

[b1989a] Garnaev A.Y., Sedykh L.G. Optimal Control of Biopurification taking into account the Biomass Age Structure. (Russian) In: Modeling of Population Dynamics. Gorkov. Gos. Univ., Gorki, 1989, 25-31.

[b1988c] Garnaev A.Y. On an Optimal Control Problem. (Russian) In: Problems in Optimal Control and Operations Research. Irkutsk. Gos. Univ., Irkutsk, 1988, 31-36, Math.Reviews MR1141395

[b1988b] Garnaev A.Y., Sedykh L.G. Optimal Control of a Nonlinear Model of the Process of Sorption of Surface-Active Substances. (Russian) In: Differential and Integral Equations. Gorkov. Gos. Univ., Gorki, 1988, 66-68, Math.Reviews MR1064988

[b1988a] Garnaev A.Y., Sedykh L.G. Optimal Control of Flowing Purification Reactor . (Russian) In: Modeling of Population Dynamics. Gorkov. Gos. Univ., Gorki, 1988, 79-84.

[b1987d] Garnaev A.Y., Sedykh L.G. Nonlinear Differential Equations in Studying the Dynamics of the Adsorption Process. (Russian) In:Differential equations and applied problems, iii. Tulsk. Politekhn. Inst., Tula, 1987, 28-36, Math.Reviews MR1097004 (92d:80004) Reviewed by Corneliu Berbente

[b1987c] Garnaev A.Y., Sedykh L.G. Optimal Control of the Purification of Sewage by Active Silt in Periodic Type Bioreactors. (Russian) In: Modeling of Population Dynamics. Gorkov. Gos. Univ., Gorki, 1987, 78-83.

[b1987b] Garnaev A.Y., Sedykh L.G. Control of the Process of Simultaneous Adsorption of Two Types of Surface-Active Material in Dispersive Systems. (Russian) In: Differential and integral equations. Gorkov. Gos. Univ., Gorki, 1987, 41-45, Math.Reviews MR1012791

[b1987a] Garnaev A.Y., Sedykh L.G. A Mathematical Model of Dynamic Processes in a Sensor System. (In Russian) In: Control of Dynamic Systems. Yakutsk Gos. Univ., Yakutsk, 1987, 114-117.

[b1986d] Sedykh L.G., Garnaev A.Y. Investigation of an Integro-Differential System of Equations. (In Russian) In: Partial Differential Equations. Leningrad. Gos. Ped. Inst., Leningrad, 1986, 46-49, Math.Reviews MR0895848

[b1986c] Sedykh L.G., Garnaev A.Yu. Optimal Control of the Biopurification of Sewage in Flowing Type Bioreactors. (In Russian) In: Modeling of Population Dynamics. Gorkov. Gos. Univ., Gorki, 1986, 120-122.

[b1986b] Garnaev A.Y., Sedykh L.G. Activity Control of Surface-Active Substances. (In Russian) In: Control of Dynamic Systems. Yakutsk Gos. Univ., Yakutsk, 1986, 114-117.

[b1986a] Garnaev A.Y. A Search Problem on the Plane. (In Russian) In: Multistage, Hierarchical, Differential and Cooperative Games. Kalinin Gos. Univ., Kalinin, 1986, 56-64.

[b1985b] Sedykh L.G., Garnaev A.Yu. Construction of an Asymptotic Solution of Singularly Perturbed Differential Equations. (In Russian) In: Differential equations and applied problems. Tulsk. Politekhn. Inst., Tula, 1985, 3-5, Math.Reviews MR0977113

[b1985a] Sedykh L.G., Garnaev A.Y. Construction of the Asymptotic Solution of a Nonlinear Singularly Perturbed System of Differential Equations. (In Russian) In: Differential and integral equations. Gorkov. Gos. Univ., Gorki, 1985, 86-88, Math.Reviews MR0909537 (89a:92062)

## Visits

Rutgers University, USA, October 30, 2011 - September 30, 2012

Rutgers University, USA, June 27 - August 19, 2011

University of Avignon, France, June 20 – 24, 2011

The French National Institute for Research in Computer Science and Control, INRIA Sophia-Antipolis, France, May 8 – 13, 2011

University of Avignon, France, Mart 4 – 12, 2011

The French National Institute for Research in Computer Science and Control, INRIA Sophia-Antipolis, France, January 24 – February 12, 2011

University of Jyvaskyla, Dept. of Mathematical Information Technology, Finland, November 16-20, 2010

The French National Institute for Research in Computer Science and Control, INRIA Sophia-Antipolis, France, November 2 – December 17, 2010.

The French National Institute for Research in Computer Science and Control, INRIA Sophia-Antipolis, France, September 15 - October 2, 2010.

Kobe University, Kobe, Japan, August 7 - 17, 2010

Delft University, Amsterdam, The Netherlands, July 17-30, 2010

University of Avignon, France, May 15 – July 15, 2010.

University of Jyvaskyla, Dept. of Mathematical Information Technology, Finland, December 7-8, 2009.

Delft University, Amsterdam, The Netherlands, November 25 - December 5, 2009.

The French National Institute for Research in Computer Science and Control, INRIA Sophia-Antipolis, France, November 15 - 21, 2009.

Delft University, Amsterdam, The Netherlands, July 4-8, 2009.

The French National Institute for Research in Computer Science and Control, INRIA Sophia-Antipolis, France, May 20 - June 3, 2009.

Univ. of Jyvaskyla, Dept. of Mathematical Information Technology, Finland, January 13-14, 2009.

The French National Institute for Research in Computer Science and Control, INRIA Sophia-Antipolis, France, September 8 - 17, 2008.

The French National Institute for Research in Computer Science and Control, INRIA Sophia-Antipolis, France, March 18 - April 29, 2008.

The French National Institute for Research in Computer Science and Control, INRIA Sophia-Antipolis, France, October 18 - 29, 2007.

The French National Institute for Research in Computer Science and Control, INRIA Sophia-Antipolis, France, May 27-June 4, 2007.

The French National Institute for Research in Computer Science and Control, INRIA Sophia-Antipolis, France, November 1-10, 2006.

The French National Institute for Research in Computer Science and Control, INRIA Sophia-Antipolis, France, June 1-6, 2006.

The School of Mathematics at Southampton University, UK, March, 2004

The School of Mathematics at Southampton University, UK, February, 1998

The School of Mathematics at Southampton University, UK, 1993-1994

## Awards

Proceedings of NET-COOP 2007, Avignon, France, June 2007, 2nd Best Paper Award.

In 2007 I was awarded for outstanding teaching and scientific supervision of students at Saint Petersburg State University, Saint Petersburg, Russia.

Books [2003], [2005] were bestsellers during several years.

Research Fellowship Award of The Royal Society, UK (1993-1994).

The Winner of Competition of All-Union Physical and Mathematical Journal “QUANTUM” for 1976 year, USSR.

## Scientific publications

- Garnaev A., Sobolev A. An Investment Allocation Game with a Cost // Game Theory and Applications, Vol. XI, Nova Sci. Publ., Commack, NY. 2006.
- Baston V., Garnaev A. Competition for Staff between Two Departments // Game Theory and Applications, Vol. X, Nova Sci. Publ., Commack, NY. 2005. p. 13-26.
- Belkovskii D.V., Garnaev A.Y. A Competitive Prediction Number Game under Unsymmetrical Conditions // Game Theory and Applications, Vol. X, Nova Sci. Publ., Commack, NY. 2005. p.27-36.
- Garnaev A. Parlour Games with a Threshold. Game Theory and Applications // Vol VI, Nova Sci. Publ., Commack, NY. 2001. pp.45-52.
- Garnaev A. Value of Information in Optimal Stopping Games // Vol V, Nova Sci. Publ., Commack, NY. 2000. pp.55-64.
- Baston V., Garnaev A. A Search Game with a Protector // Naval Research Logistics. 2000. vol 47. pp.85-96.
- Baston V., Garnaev A. On a Game in Manufacturing // Mathematical Methods of Operations Research. 2000. vol 52. pp.237-249.
- Garnaev A. Search Games and Other Applications of Game Theory. Heidelberg, New York, Springer, 2000. 145 p.
- Garnaev A. On a Sakaguchi's Problem in Noisy and Noisy-Silent Games of Timing // Mathematica Japonica. 1999. vol.49. pp.351-361.
- Garnaev A. On a Ruckle Problem in Discrete Games of Ambush // Naval Research Logistics. 1997. vol 44. pp.353-364.
- Baston V., Garnaev A. A Non-Zero-Sum War of Attrition // Mathematical Methods of Operations Research. 1997. vol 45. pp.197-211.
- Garnaev A., Garnaeva G., Goutal P. On the Infiltration Game // International Journal of Game Theory. 1997. vol 26. pp.215-221.
- Garnaev A. On a MIX game. Game Theory and Applications // Nova Sci. Publ., Commack, NY, 1996. pp.23-31.
- Garnaev A., Garnaeva G. An Infiltration Game on a Circumference // Nova J. Math. Game Theory and Algebra. 1996. vol. 5. pp.235-240.
- Baston V., Garnaev A. A Fast Infiltration Game on n Arcs // Naval Research Logistics. 1996. vol 43. pp.197-211.
- Baston V., Garnaev A.Y. A Teraoka-type Two-person Non-zero-sum Silent Duel // Journal of Optimization Theory and Applications. 1995. Vol. 87. pp.539-552.