Game Theory

Deciphering Daphnia Dynamics: A Mathematical Odyssey into Aquatic Ecosystems

Abstract Amongst all the chaos found in aquatic ecosystems, Daphnia emerges as a small yet pivotal player, embodying the complexity and adaptability of life. This study presents a mathematical journey into Daphnia populations, revealing the sophisticated interplay between their unique reproductive strategies, survival tactics, and trophic interactions. Cyclical parthenogenesis, a

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Crab Chelae Allometry and Implications on Game-Theoretic Armament Evolution

Pincers (alternatively known as chelae) are an integral component of many arthropod species. Many species, from arachnids to crustaceans, rely on the chelae for survival. Chelae are a highly functional and morphologically diverse group of structures found in crustaceans whose functions range from cracking open coconuts in coconut crabs to…

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The Gravity of Connectivity in Migratory Birds During a Climate Emergency

All populations form networks which describe their interactions, mixing and mating. Migratory populations also form networks, but these are much more complex because of the continuously migrating populations throughout the seasons. Migratory networks are more fragile but are a fundamental pillar to bird populations. They can aid populations but can…

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Courtship and Mating Within Evolutionary Game

In this essay, we investigated methods of mathematical modeling which can be utilized to describe evolutionary game theory. An organism’s evolutionary fitness is defined by their ability to pass their genes on to their offspring. Without effective courting and mating practices, it is impossible to find quality mates and therefore…

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Modeling Population Dynamics & Evolutionary Cooperation with Game Theory

Since the development of game theory, it has been used to model behaviours exhibited by individuals in situations involving strategy optimization involving mathematical concepts and calculations. When applied to the field of evolutionary biology, evolutionary game theory is derived to model the competitive strategies and evolutionary decisions found in many…

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