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Volumn 50, Issue 2, 2005, Pages 127-147

Stability of the replicator equation with continuous strategy space

Author keywords

Coevolution; Convergence; Monomorphism; Replicator dynamics; Weak topology

Indexed keywords


EID: 21844431617     PISSN: 01654896     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mathsocsci.2005.03.001     Document Type: Article
Times cited : (46)

References (34)
  • 1
    • 0035094759 scopus 로고    scopus 로고
    • Modelling the adaptive dynamics of traits involved in inter- and intraspecific interactions: An assessment of three methods
    • P. Abrams Modelling the adaptive dynamics of traits involved in inter- and intraspecific interactions: An assessment of three methods Ecol. Lett. 4 2001 166-175
    • (2001) Ecol. Lett. , vol.4 , pp. 166-175
    • Abrams, P.1
  • 2
    • 84918435963 scopus 로고
    • Domination or equilibrium
    • E. Akin Domination or equilibrium Math. Biosci. 50 1980 239-250
    • (1980) Math. Biosci. , vol.50 , pp. 239-250
    • Akin, E.1
  • 3
    • 0000053689 scopus 로고
    • Exponential families and game dynamics
    • E. Akin Exponential families and game dynamics Can. J. Math. 34 1982 374-405
    • (1982) Can. J. Math. , vol.34 , pp. 374-405
    • Akin, E.1
  • 4
    • 0030772561 scopus 로고    scopus 로고
    • Revisiting strategic models of evolution: The concept of neighborhood invader strategies
    • J. Apaloo Revisiting strategic models of evolution: The concept of neighborhood invader strategies Theor. Popul. Biol. 52 1997 71-77
    • (1997) Theor. Popul. Biol. , vol.52 , pp. 71-77
    • Apaloo, J.1
  • 5
    • 0002702488 scopus 로고
    • Dynamical aspects of evolutionary stability
    • I. Bomze Dynamical aspects of evolutionary stability Mon. Math. 110 1990 189-206
    • (1990) Mon. Math. , vol.110 , pp. 189-206
    • Bomze, I.1
  • 6
    • 0002975028 scopus 로고
    • Cross entropy minimization in uninvadable states of complex populations
    • I. Bomze Cross entropy minimization in uninvadable states of complex populations J. Math. Biol. 30 1991 73-87
    • (1991) J. Math. Biol. , vol.30 , pp. 73-87
    • Bomze, I.1
  • 8
    • 0026268536 scopus 로고
    • On conditions for evolutionary stability for a continuously varying character
    • F.B. Christiansen On conditions for evolutionary stability for a continuously varying character Am. Nat. 138 1991 37-50
    • (1991) Am. Nat. , vol.138 , pp. 37-50
    • Christiansen, F.B.1
  • 9
    • 0025079689 scopus 로고
    • Strong stability and density-dependent evolutionarily stable strategies
    • R. Cressman Strong stability and density-dependent evolutionarily stable strategies J. Theor. Biol. 145 1990 319-330
    • (1990) J. Theor. Biol. , vol.145 , pp. 319-330
    • Cressman, R.1
  • 11
    • 0347599027 scopus 로고    scopus 로고
    • Stability in N-species coevolutionary systems
    • R. Cressman J. Garay Stability in N-species coevolutionary systems Theor. Popul. Biol. 64 2003 519-533
    • (2003) Theor. Popul. Biol. , vol.64 , pp. 519-533
    • Cressman, R.1    Garay, J.2
  • 12
    • 11844294035 scopus 로고    scopus 로고
    • Measure dynamics on a one-dimensional continuous trait space: Theoretical foundations for adaptive dynamics
    • R. Cressman J. Hofbauer Measure dynamics on a one-dimensional continuous trait space: Theoretical foundations for adaptive dynamics Theor. Popul. Biol. 67 2005 47-59
    • (2005) Theor. Popul. Biol. , vol.67 , pp. 47-59
    • Cressman, R.1    Hofbauer, J.2
  • 13
    • 0033794921 scopus 로고    scopus 로고
    • Evolutionary branching and sympatric speciation caused by different types of ecological interactions
    • M. Doebeli U. Dieckmann Evolutionary branching and sympatric speciation caused by different types of ecological interactions Am. Nat. 156 2000 S77-S101
    • (2000) Am. Nat. , vol.156
    • Doebeli, M.1    Dieckmann, U.2
  • 14
    • 0020957188 scopus 로고
    • Evolutionary and continuous stability
    • I. Eshel Evolutionary and continuous stability J. Theor. Biol. 103 1983 99-111
    • (1983) J. Theor. Biol. , vol.103 , pp. 99-111
    • Eshel, I.1
  • 15
    • 1642380502 scopus 로고    scopus 로고
    • Evolutionary and dynamic stability in continuous population games
    • I. Eshel E. Sansone Evolutionary and dynamic stability in continuous population games J. Math. Biol. 46 2003 445-459
    • (2003) J. Math. Biol. , vol.46 , pp. 445-459
    • Eshel, I.1    Sansone, E.2
  • 17
    • 11844304808 scopus 로고    scopus 로고
    • What to maximize if you must
    • Mimeo
    • Heifetz, A., Shannon, C. Spiegel, Y., 2003. What to maximize if you must, Mimeo.
    • (2003)
    • Heifetz, A.1    Shannon, C.2    Spiegel, Y.3
  • 18
    • 0007033938 scopus 로고
    • Strategy stability in complex populations
    • W.G.S. Hines Strategy stability in complex populations J. Appl. Probab. 17 1980 600-610
    • (1980) J. Appl. Probab. , vol.17 , pp. 600-610
    • Hines, W.G.S.1
  • 19
    • 0001112110 scopus 로고
    • Three characterizations of population strategy stability
    • W.G.S. Hines Three characterizations of population strategy stability J. Appl. Probab. 17 1980 333-340
    • (1980) J. Appl. Probab. , vol.17 , pp. 333-340
    • Hines, W.G.S.1
  • 21
    • 0029705385 scopus 로고    scopus 로고
    • Evolutionary dynamics of predator-prey systems: An ecological perspective
    • P. Marrow U. Dieckmann R. Law Evolutionary dynamics of predator-prey systems: An ecological perspective J. Math. Biol. 34 1996 556-578
    • (1996) J. Math. Biol. , vol.34 , pp. 556-578
    • Marrow, P.1    Dieckmann, U.2    Law, R.3
  • 23
    • 0012452310 scopus 로고
    • The structure and evolution of competition-organized ecological communities
    • R. McKelvey J. Apaloo The structure and evolution of competition-organized ecological communities Rocky Mt. J. Math. 25 1995 417-436
    • (1995) Rocky Mt. J. Math. , vol.25 , pp. 417-436
    • McKelvey, R.1    Apaloo, J.2
  • 24
    • 0013080132 scopus 로고    scopus 로고
    • Evolutionary optimisation models and matrix games in the unified perspective of adaptive dynamics
    • G. Mesźna E. Kisdi U. Dieckmann S.A.H. Geritz J.A.J. Metz Evolutionary optimisation models and matrix games in the unified perspective of adaptive dynamics Selection 2 2001 193-210
    • (2001) Selection , vol.2 , pp. 193-210
    • Meszéna, G.1    Kisdi, E.2    Dieckmann, U.3    Geritz, S.A.H.4    Metz, J.A.J.5
  • 25
    • 0002519561 scopus 로고
    • Dominance-solvability and Cournot stability
    • H. Moulin Dominance-solvability and Cournot stability Math. Soc. Sci. 7 1984 83-102
    • (1984) Math. Soc. Sci. , vol.7 , pp. 83-102
    • Moulin, H.1
  • 26
    • 0035529082 scopus 로고    scopus 로고
    • Evolutionary dynamics on infinite strategy spaces
    • J. Oechssler F. Riedel Evolutionary dynamics on infinite strategy spaces Econ. Theory 17 2001 141-162
    • (2001) Econ. Theory , vol.17 , pp. 141-162
    • Oechssler, J.1    Riedel, F.2
  • 27
    • 0036925149 scopus 로고    scopus 로고
    • On the dynamic foundation of evolutionary stability in continuous models
    • J. Oechssler F. Riedel On the dynamic foundation of evolutionary stability in continuous models J. Econ. Theory 107 2002 223-252
    • (2002) J. Econ. Theory , vol.107 , pp. 223-252
    • Oechssler, J.1    Riedel, F.2
  • 28
  • 29
    • 0000861816 scopus 로고    scopus 로고
    • Why imitate, and if so, how? A boundedly rational approach to multi-armed bandits
    • K.H. Schlag Why imitate, and if so, how? A boundedly rational approach to multi-armed bandits J. Econ. Theory 78 1998 130-156
    • (1998) J. Econ. Theory , vol.78 , pp. 130-156
    • Schlag, K.H.1
  • 30
    • 0003953703 scopus 로고    scopus 로고
    • Dynamics for infinite dimensional games
    • Mimeo, University College London
    • Seymour, R., 2000. Dynamics for infinite dimensional games, Mimeo, University College London.
    • (2000)
    • Seymour, R.1
  • 31
    • 0017819644 scopus 로고
    • Evolutionarily stable strategies and game dynamics
    • P.D. Taylor L. Jonker Evolutionarily stable strategies and game dynamics Math. Biosci. 40 1978 145-156
    • (1978) Math. Biosci. , vol.40 , pp. 145-156
    • Taylor, P.D.1    Jonker, L.2
  • 32
    • 0002604885 scopus 로고
    • Evolutionary stability: States and strategies
    • B. Thomas Evolutionary stability: States and strategies Theor. Popul. Biol. 26 1984 49-67
    • (1984) Theor. Popul. Biol. , vol.26 , pp. 49-67
    • Thomas, B.1
  • 33
    • 0030303088 scopus 로고    scopus 로고
    • Ecological stability, evolutionary stability and the ESS maximum principle
    • T.L. Vincent M.V. Van B.S. Goh Ecological stability, evolutionary stability and the ESS maximum principle Evol. Ecol. 10 1996 567-591
    • (1996) Evol. Ecol. , vol.10 , pp. 567-591
    • Vincent, T.L.1    Van, M.V.2    Goh, B.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.