Advertisement

Topics

The ESS and replicator equation in matrix games under time constraints.

07:00 EST 13th January 2018 | BioPortfolio

Summary of "The ESS and replicator equation in matrix games under time constraints."

Recently, we introduced the class of matrix games under time constraints and characterized the concept of (monomorphic) evolutionarily stable strategy (ESS) in them. We are now interested in how the ESS is related to the existence and stability of equilibria for polymorphic populations. We point out that, although the ESS may no longer be a polymorphic equilibrium, there is a connection between them. Specifically, the polymorphic state at which the average strategy of the active individuals in the population is equal to the ESS is an equilibrium of the polymorphic model. Moreover, in the case when there are only two pure strategies, a polymorphic equilibrium is locally asymptotically stable under the replicator equation for the pure-strategy polymorphic model if and only if it corresponds to an ESS. Finally, we prove that a strict Nash equilibrium is a pure-strategy ESS that is a locally asymptotically stable equilibrium of the replicator equation in n-strategy time-constrained matrix games.

Affiliation

Journal Details

This article was published in the following journal.

Name: Journal of mathematical biology
ISSN: 1432-1416
Pages:

Links

DeepDyve research library

PubMed Articles [12624 Associated PubMed Articles listed on BioPortfolio]

A transient self-assembling self-replicator.

Developing physical models of complex dynamic systems showing emergent behaviour is key to informing on persistence and replication in biology, how living matter emerges from chemistry, and how to des...

Futsal task constraints promote transfer of passing skill to soccer task constraints.

This study investigated how learning a passing skill with futsal or soccer task constraints influenced transfer to a new task. Futsal (n = 24, 13.6 ± 1.2 years old, 7.0 ± 1.6 years of ex...

Constraining the Prebiotic Cell Size Limits in Extremely Hostile Environments: A Dynamical Perspective.

The ability to support a replicator population in an extremely hostile environment is considered in a simple model of a prebiotic cell. We explore from a classical approach how the replicator viabilit...

Communication Games Reveal Preparation Contextuality.

A communication game consists of distributed parties attempting to jointly complete a task with restricted communication. Such games are useful tools for studying limitations of physical theories. A t...

Paralympic Games: History and Legacy of a Global Movement.

The Paralympic Games have an interesting history that began after World War II. The Games and movement have been impacted by and have had an impact on society and the larger able-bodied sport system. ...

Clinical Trials [2007 Associated Clinical Trials listed on BioPortfolio]

Music and/or Video Games During Labor

Data are lacking regarding the use of music and video games for the management of pain in labor. Pregnant women that are scheduled for labor induction with Foley bulb after 37 weeks will b...

Assessment of Dialysis Initiation by a Fuzzy Mathematics Equation

The purpose of this study is to evaluate the impact of the optimal and late initiation of dialysis on the mortality and quality of life in advanced chronic kidney disease patients by the D...

Fentanyl Matrix in Lung Cancer Pain

The purpose of this study is to evaluate the usefulness of fentanyl matrix by assessing patients' satisfaction when administrating fentanyl matrix, a background pain treatment, and a break...

Performance of Cimetidine-corrected MDRD Equation in Renal Transplant Patients

Among the different creatinine-based GFR predicting equations, the MDRD equation gives the best prediction in renal transplantation but does not provide the level of accuracy usually seen ...

Effectiveness of BioFoam® Surgical Matrix to Improve Hemostasis During Liver Resection

The present randomized controlled trial evaluates the efficacy and safety of BioFoam® Surgical Matrix in patients undergoing elective liver resection. In contrast to other topical agents,...

Medical and Biotech [MESH] Definitions

Games designed to provide information on hypotheses, policies, procedure or strategies.

A form of interactive entertainment in which the player controls electronically generated images that appear on a video display screen. This includes video games played in the home on special machines or home computers, and those played in arcades. (McGraw Hill Encyclopedia of Science & Technology, 7th ed, v19, p223)

The study of systems which respond disproportionately (nonlinearly) to initial conditions or perturbing stimuli. Nonlinear systems may exhibit "chaos" which is classically characterized as sensitive dependence on initial conditions. Chaotic systems, while distinguished from more ordered periodic systems, are not random. When their behavior over time is appropriately displayed (in "phase space"), constraints are evident which are described by "strange attractors". Phase space representations of chaotic systems, or strange attractors, usually reveal fractal (FRACTALS) self-similarity across time scales. Natural, including biological, systems often display nonlinear dynamics and chaos.

A secreted matrix metalloproteinase that is the predominant proteolytic activity in the enamel matrix. The enzyme has a high specificity for dental enamel matrix protein AMELOGENIN.

A transmembrane domain-containing matrix metalloproteinase. It is synthesized as an inactive zymogen that is activated by the proteolytic action of PROPROTEIN CONVERTASES. Matrix metalloproteinase 16 plays a direct role in the cleavage of proteins in the pericellular environment. In addition it can function indirectly by enzymatically activating the proprotein form of other MATRIX METALLOPROTEINASES such as the zymogen of MATRIX METALLOPROTEINASE 2.

Advertisement
Quick Search
Advertisement
Advertisement

 


DeepDyve research library

Searches Linking to this Article