Vasil'ev Valerii Aleksandrovich

Publications in Math-Net.Ru

1. Shapley value of homogeneous cooperative games
   
   Zh. Vychisl. Mat. Mat. Fiz., 63:3 (2023),  474–490
2. On the core and Shapley value for regular polynomial games
   
   Sibirsk. Mat. Zh., 63:1 (2022),  77–94
3. Nonadditive integration and some solutions of cooperative games
   
   Mat. Teor. Igr Pril., 13:1 (2021),  5–27
4. The core and superdifferential of a fuzzy TU-cooperative game
   
   Mat. Teor. Igr Pril., 12:2 (2020),  20–35
5. Undominatedness of equilibria in a mixed economy of Arrow–Debreu type
   
   Diskretn. Anal. Issled. Oper., 26:4 (2019),  34–55
6. An analog of Bondareva–Shapley theorem II. Examples of $V$-balanced fuzzy games
   
   Mat. Teor. Igr Pril., 11:2 (2019),  3–18
7. Unblocked imputations of fuzzy games II. Nonemptyness of the cores for two market games
   
   Sib. J. Pure and Appl. Math., 18:4 (2018),  3–18
8. Unblocked imputations of fuzzy games I. Existence
   
   Sib. J. Pure and Appl. Math., 18:1 (2018),  35–53
9. An analog of Bondareva–Shapley theorem I. Non-emptiness of the core of fuzzy game
   
   Mat. Teor. Igr Pril., 9:1 (2017),  3–26
10. On $k$-accessibility of the core of $TU$-cooperative game
    
    Mat. Teor. Igr Pril., 8:2 (2016),  3–27
11. A fuzzy-core extension of Scarf theorem and related topics
    
    Contributions to Game Theory and Management, 8 (2015),  300–314
12. $A$-equilibrium and fuzzy $A$-core in pure exchange model with externalities
    
    Mat. Teor. Igr Pril., 7:1 (2015),  15–31
13. Polar Representation of Shapley Value: Nonatomic Polynomial Games
    
    Contributions to Game Theory and Management, 6 (2013),  434–446
14. On existence of Walras equilibrium in a multi-regional economic model
    
    Diskretn. Anal. Issled. Oper., 19:4 (2012),  15–34
15. Edgeworth equilibrium in a model of interregional economic relations
    
    Sib. Zh. Ind. Mat., 13:1 (2010),  18–33
16. One axiomatization of generalized Owen extension
    
    Mat. Teor. Igr Pril., 1:2 (2009),  3–13
17. On Unblockable States in Multiregional Economic Systems
    
    Sib. Zh. Ind. Mat., 12:4 (2009),  23–34
18. An axiomatization of generalized Owen extension
    
    UBS, 26.1 (2009),  5–17
19. Contractual Stability and Competitive Equilibrium in a Pure Exchange Economy
    
    Contributions to Game Theory and Management, 1 (2007),  478–496
20. Contractual $M$-core and equilibrium allocations
    
    Zap. Nauchn. Sem. POMI, 312 (2004),  55–68
21. Extreme points of the Weber polytope
    
    Diskretn. Anal. Issled. Oper., Ser. 1, 10:2 (2003),  17–55
22. Equilibrium in a regulated market. I. Existence
    
    Diskretn. Anal. Issled. Oper., Ser. 2, 8:1 (2001),  3–21
23. Nonparametric estimation of the ratios of derivatives of a multivariate distribution density from dependent observations
    
    Sibirsk. Mat. Zh., 41:2 (2000),  284–303
24. The Shapley Functional and Polar Forms of Homogeneous Polynomial Games
    
    Mat. Tr., 1:2 (1998),  24–67
25. On the coincidence of cores and coordinated allocations in mixed economic systems
    
    Dokl. Akad. Nauk, 352:4 (1997),  446–450
26. On Edgeworth equilibria for some forms of nonclassical markets
    
    Trudy Inst. Mat. SO RAN, 28 (1994),  3–52
27. On the multiplicity of illumination of convex bodies by point sources
    
    Mat. Zametki, 54:4 (1993),  12–18
28. Characterization of cores and of generalized von Neumann–Morgenstern solutions for some classes of cooperative games
    
    Trudy Inst. Mat. Sib. Otd. AN SSSR, 10 (1988),  63–89
29. Generalized von Neumann–Morgenstern solutions and the accessibility of cores
    
    Dokl. Akad. Nauk SSSR, 296:6 (1987),  1289–1293
30. On a class of imputations in cooperative games
    
    Dokl. Akad. Nauk SSSR, 256:2 (1981),  265–268


31. Gennadii Shlemovich Rubinshtein (1923–2004)
    
    Sib. Zh. Ind. Mat., 8:1 (2005),  3–9