메뉴 건너뛰기




Volumn 6, Issue 1, 2006, Pages 215-224

Best response dynamics for continuous zero-sum games

Author keywords

Best response dynamics; Discretization; Fictitious play, minmax theorem; Global attractor

Indexed keywords


EID: 33644553506     PISSN: 15313492     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcdsb.2006.6.215     Document Type: Article
Times cited : (84)

References (21)
  • 2
    • 0001793657 scopus 로고
    • Séminaire de Probabilités XXXIII
    • J. Azéma et al. (eds)
    • M. Benaim, Dynamics of Stochastic Approximation Algorithms, in J. Azéma et al. (eds), Séminaire de Probabilités XXXIII, Springer Lectures Notes in Mathematics, 1709 (1990), 1-68.
    • (1990) Springer Lectures Notes in Mathematics , vol.1709 , pp. 1-68
    • Benaim, M.1
  • 6
    • 0002672918 scopus 로고
    • Iterative solution of games by fictitious play
    • T.C. Koopmans (ed.) Wiley
    • G. W. Brown, Iterative solution of games by fictitious play, in T.C. Koopmans (ed.) Activity Analysis of Production and Allocation, Wiley, 374- 376 (1951).
    • (1951) Activity Analysis of Production and Allocation , pp. 374-376
    • Brown, G.W.1
  • 7
    • 0039413006 scopus 로고
    • Solutions of games by differential equations
    • H. W. Kuhn and A.W. Tucker (eds.), Contributions to the Theory of Games I, Princeton University Press
    • G. W. Brown and J. von Neumann, Solutions of games by differential equations, in H. W. Kuhn and A.W. Tucker (eds.), Contributions to the Theory of Games I, Annals of Mathematical Studies 24, Princeton University Press, pp. 73-79. (1950)
    • (1950) Annals of Mathematical Studies , vol.24 , pp. 73-79
    • Brown, G.W.1    Von Neumann, J.2
  • 10
    • 0000730470 scopus 로고
    • Social stability and equilibrium
    • I. Gilboa and A. Matsui, Social stability and equilibrium, Econometrica, 59 (1991), 859-867.
    • (1991) Econometrica , vol.59 , pp. 859-867
    • Gilboa, I.1    Matsui, A.2
  • 11
    • 0038901534 scopus 로고    scopus 로고
    • On the rate of convergence of continuous time fictitious play
    • C. Harris, On the rate of convergence of continuous time fictitious play, Games and Economic Behavior, 22 (1998), 238-259.
    • (1998) Games and Economic Behavior , vol.22 , pp. 238-259
    • Harris, C.1
  • 13
    • 0002697842 scopus 로고    scopus 로고
    • From nash and brown to maynard smith: Equilibria, dynamics and ESS
    • J. Hofbauer, From Nash and Brown to Maynard Smith: Equilibria, Dynamics and ESS, Selection, 1 (2000), 81-88.
    • (2000) Selection , vol.1 , pp. 81-88
    • Hofbauer, J.1
  • 17
    • 0001402950 scopus 로고
    • An iterative method of solving a game
    • J. Robinson, An iterative method of solving a game, Annals of Mathematics, 54 (1951), 296-301.
    • (1951) Annals of Mathematics , vol.54 , pp. 296-301
    • Robinson, J.1
  • 19
    • 84972513554 scopus 로고
    • On general minimax theorems
    • M. Sion, On general minimax theorems, Pacific J. Mathematics, 8 (1958), 171-176.
    • (1958) Pacific J. Mathematics , vol.8 , pp. 171-176
    • Sion, M.1
  • 21
    • 21244466146 scopus 로고
    • Zur Theorie der Gesellschaftsspiele
    • J. von Neumann, Zur Theorie der Gesellschaftsspiele, Math. Ann., 100 (1928), 295-320.
    • (1928) Math. Ann. , vol.100 , pp. 295-320
    • Von Neumann, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.