scholarly journals The ESS for evolutionary matrix games under time constraints and its relationship with the asymptotically stable rest point of the replicator dynamics

2019 ◽  
Vol 80 (3) ◽  
pp. 743-774 ◽  
Author(s):  
Tamás Varga ◽  
Tamás F. Móri ◽  
József Garay
Keyword(s):  
Replicator Dynamics ◽  
Time Constraints ◽  
Asymptotically Stable ◽  
Matrix Games ◽  
Rest Point

scholarly journals Monomorphic ESS does not imply the stability of the corresponding polymorphic state in the replicator dynamics in matrix games under time constraints

2021 ◽  
Author(s):  
Tamás Varga ◽  
József Garay
Keyword(s):  
Replicator Dynamics ◽  
Strong Stability ◽  
Higher Dimensions ◽  
Time Constraints ◽  
Matrix Games ◽  
The Stability ◽  
Stability Concept

One of the main result in the theory of classical evolutionary matrix games (Maynard Smith and Price 1973, Maynard Smith 1982) claims that monomorphic ESS condition implies the stability of the corresponding state of the polymorphic replicator dynamics (Hofbauer et al. 1979, Zeeman 1980). The picture was then refined by Cressman (1990) introducing the strong stability concept which says that if there is a monomorphic ESS then stable polymorphism is established in polymorphic populations. In this paper we demonstrate with examples that this relationship generally does not hold in three or higher dimensions if times related to the interactions vary with the strategies of the participants.

scholarly journals The ESS and replicator equation in matrix games under time constraints

2018 ◽  
Vol 76 (7) ◽  
pp. 1951-1973 ◽  
Author(s):  
József Garay ◽  
Ross Cressman ◽  
Tamás F. Móri ◽  
Tamás Varga
Keyword(s):  
Time Constraints ◽  
Replicator Equation ◽  
Matrix Games

scholarly journals Evolutionary stability for matrix games under time constraints

2017 ◽  
Vol 415 ◽  
pp. 1-12 ◽  
Author(s):  
József Garay ◽  
Villő Csiszár ◽  
Tamás F. Móri
Keyword(s):  
Evolutionary Stability ◽  
Time Constraints ◽  
Matrix Games

scholarly journals IsoMaTrix: a framework to visualize the isoclines of matrix games and quantify uncertainty in structured populations

2020 ◽  
Author(s):  
Jeffrey West ◽  
Yongqian Ma ◽  
Artem Kaznatcheev ◽  
Alexander R. A. Anderson
Keyword(s):  
Spatial Configuration ◽  
Replicator Dynamics ◽  
Evolutionary Game ◽  
Payoff Matrix ◽  
Structured Populations ◽  
Three Dimensions ◽  
Continuous Treatment ◽  
Hybrid Automata ◽  
Matrix Games ◽  
Structured Matrix

AbstractSummaryEvolutionary game theory describes frequency-dependent selection for fixed, heritable strategies in a population of competing individuals using a payoff matrix, typically described using well-mixed assumptions (replicator dynamics). IsoMaTrix is an open-source package which computes the isoclines (lines of zero growth) of matrix games, and facilitates direct comparison of well-mixed dynamics to structured populations in two or three dimensions. IsoMaTrix is coupled with a Hybrid Automata Library module to simulate structured matrix games on-lattice. IsoMaTrix can also compute fixed points, phase flow, trajectories, velocities (and subvelocities), delineated “region plots” of positive/negative strategy velocity, and uncertainty quantification for stochastic effects in structured matrix games. We describe a result obtained via IsoMaTrix’s spatial games functionality, which shows that the timing of competitive release in a cancer model (under continuous treatment) critically depends on the initial spatial configuration of the tumor.Availability and implementationThe code is available at: https://github.com/mathonco/isomatrix.

Gender Differences in the Mental Rotations Test (MRT) Are Not Due to Task Complexity

2008 ◽  
Vol 29 (3) ◽  
pp. 130-133 ◽  
Author(s):  
Corinna Titze ◽  
Martin Heil ◽  
Petra Jansen
Keyword(s):  
Gender Differences ◽  
Mental Rotation ◽  
Task Complexity ◽  
Time Constraints ◽  
Medium Effects ◽  
Performance Factors ◽  
Mental Rotations ◽  
Sufficient Power ◽  
Forced Choice Tasks ◽  
Choice Tasks

Gender differences are one of the main topics in mental rotation research. This paper focuses on the influence of the performance factor task complexity by using two versions of the Mental Rotations Test (MRT). Some 300 participants completed the test without time constraints, either in the regular version or with a complexity reducing template creating successive two-alternative forced-choice tasks. Results showed that the complexity manipulation did not affect the gender differences at all. These results were supported by a sufficient power to detect medium effects. Although performance factors seem to play a role in solving mental rotation problems, we conclude that the variation of task complexity as realized in the present study did not.

Time Constraints Limit Full-Body Skin Exams

2011 ◽  
Vol 41 (2) ◽  
pp. 35
Author(s):  
MARY ANN MOON
Keyword(s):  
Time Constraints ◽  
Full Body

NUMERICAL AND STABILITY ANALYSIS OF THE TRANSMISSION DYNAMICS OF SVIR EPIDEMIC MODEL WITH STANDARD INCIDENCE RATE

2019 ◽  
Vol 4 (2) ◽  
pp. 349 ◽  
Author(s):  
Oluwatayo Michael Ogunmiloro ◽  
Fatima Ohunene Abedo ◽  
Hammed Kareem
Keyword(s):  
Reproduction Number ◽  
Disease Spread ◽  
Asymptotically Stable ◽  
Equilibrium Solutions ◽  
Transform Method ◽  
Globally Asymptotically Stable ◽  
Differential Transform ◽  
Mathematical Techniques ◽  
Fourth Order Method ◽  
Theoretical Results

In this article, a Susceptible – Vaccinated – Infected – Recovered (SVIR) model is formulated and analysed using comprehensive mathematical techniques. The vaccination class is primarily considered as means of controlling the disease spread. The basic reproduction number (Ro) of the model is obtained, where it was shown that if Ro<1, at the model equilibrium solutions when infection is present and absent, the infection- free equilibrium is both locally and globally asymptotically stable. Also, if Ro>1, the endemic equilibrium solution is locally asymptotically stable. Furthermore, the analytical solution of the model was carried out using the Differential Transform Method (DTM) and Runge - Kutta fourth-order method. Numerical simulations were carried out to validate the theoretical results. 

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