Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Jacek Miȩkisz"'
Autor:
Miroslaw Lachowicz, Jacek Miekisz
This volume contains pedagogical and elementary introductions to genetics for mathematicians and physicists as well as to mathematical models and techniques of population dynamics. It also offers a physicist's perspective on modeling biological proce
We study stochastic dynamics of the Prisoner's Dilemma game on random Erd\"{o}s-R\'{e}nyi and scale-free Barab\'{a}si-Albert networks with a cost of maintaining a link between interacting players. We show that when the cost increases, the population
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b12c723ab42cb9ada5242def2691ab6b
We present a microscopic model of replicator dynamics with strategy-dependent time delays. In such a model, new players are born from parents who interacted and received payoffs in the past. In the case of small delays, we use Taylor expansion to get
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2310dfc83ebd5cde005cc67a6e27fc97
http://arxiv.org/abs/2303.08200
http://arxiv.org/abs/2303.08200
Publikováno v:
Dynamic Games and Applications. 10:664-675
We analyze replicator dynamics with strategy-dependent time delays in a certain three-player game with one pure and two mixed Nash equilibria. In such a model, new players are born from parents who interacted in the past. We show that stationary stat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e9cc5c0285eb41faa3265212ab05522e
https://doi.org/10.1007/s13235-019-00340-0
https://doi.org/10.1007/s13235-019-00340-0
Publikováno v:
Entropy
Entropy, MDPI, 2019, 21 (12), pp.1212. ⟨10.3390/e21121212⟩
Volume 21
Issue 12
Entropy, MDPI, 2019, 21 (12), pp.1212. ⟨10.3390/e21121212⟩
Volume 21
Issue 12
International audience; In order to respond to environmental signals, cells often use small molecular circuits to transmit information about their surroundings. Recently, motivated by specific examples in signaling and gene regulation, a body of work
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8639ee77a18a98aef511328c47fb8931
https://hal.archives-ouvertes.fr/hal-02988501/document
https://hal.archives-ouvertes.fr/hal-02988501/document
Autor:
Christoph Hauert, Jacek Miȩkisz
The sampling of interaction partners depends on often implicit modelling assumptions, yet has marked effects on the dynamics in evolutionary games. One particularly important aspect is whether or not competitors also interact. Population structures n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a78c0d893f0fe6d80087d140c5e961c1
Publikováno v:
Journal of Statistical Physics. 151:1175-1183
We extend the classical Barabasi-Albert preferential attachment procedure to graphs with internal vertex structure given by weights of vertices. In our model, weight dynamics depends on the current vertex degree distribution and the preferential atta
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8673660cc71525cae626c6a7432c3389
https://doi.org/10.1007/s10955-013-0749-1
https://doi.org/10.1007/s10955-013-0749-1
Autor:
Sergiusz Wesolowski, Jacek Miȩkisz
Publikováno v:
Dynamic Games and Applications. 1:440-448
We discuss combined effects of stochasticity and time delays in simple evolutionary games with a unique mixed evolutionarily stable strategy. We present three models of time-delay stochastic dynamics of finite well-mixed or random-matching population
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4a2d279b76b33f85f1071020b0b7870e
https://doi.org/10.1007/s13235-011-0028-1
https://doi.org/10.1007/s13235-011-0028-1
Autor:
Jacek Miȩkisz
Publikováno v:
Probabilistic Engineering Mechanics. 26:33-38
We discuss effects of stochasticity and time delays in simple models of population dynamics. In social-type models, where individuals react to the information concerning the state of the population at some earlier time, sufficiently large time delays
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bd6574a6d1bd18cbffc0f5075422fb49
https://doi.org/10.1016/j.probengmech.2010.06.004
https://doi.org/10.1016/j.probengmech.2010.06.004
Autor:
Jacek Miȩkisz
Publikováno v:
Physica A: Statistical Mechanics and its Applications. 343:175-184
We discuss long-run behavior of stochastic dynamics of many interacting agents. In particular, three-player spatial games are studied. The effect of the number of players and the noise level on the stochastic stability of Nash equilibria is investiga
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::57efea0c4968d8bc890f53c85a9d15c5
https://doi.org/10.1016/j.physa.2004.05.077
https://doi.org/10.1016/j.physa.2004.05.077