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Evolutionary game theory differs from classical game theory in focusing more on the dynamics of strategy change. [2] This is influenced by the frequency of the competing strategies in the population. [3] Evolutionary game theory has helped to explain the basis of altruistic behaviours in Darwinian evolution.
Game theory has come to play an increasingly important role in logic and in computer science. Several logical theories have a basis in game semantics. In addition, computer scientists have used games to model interactive computations. Also, game theory provides a theoretical basis to the field of multi-agent systems. [123]
An ecosystem (or ecological system) is a system formed by organisms in interaction with their environment. [2]: 458 The biotic and abiotic components are linked together through nutrient cycles and energy flows. Ecosystems are controlled by external and internal factors.
Population ecology is a sub-field of ecology that deals with the dynamics of species populations and how these populations interact with the environment. [15] It is the study of how the population sizes of species living together in groups change over time and space, and was one of the first aspects of ecology to be studied and modelled mathematically.
A structural diagram of the open ocean plankton ecosystem model of Fasham, Ducklow & McKelvie (1990). [1]An ecosystem model is an abstract, usually mathematical, representation of an ecological system (ranging in scale from an individual population, to an ecological community, or even an entire biome), which is studied to better understand the real system.
In some ecosystems, there can be more primary consumers than producers. A pyramid of numbers graphically shows the population, or abundance, in terms of the number of individual organisms involved at each level in a food chain. This shows the number of organisms in each trophic level without considering their individual sizes or biomass.
Game theory is a branch of mathematics that uses models to study interactions with formalized incentive structures ("games"). It has applications in a variety of fields, including economics , evolutionary biology , political science , social psychology and military strategy .
A higher-order simultaneous game [4] is a generalization of a Simultaneous game in which players are defined by selection functions rather than by utility functions. Formally, a higher-order simultaneous game for n players contains the following elements: A set R of outcomes. For each player i, a set X i of choices (possible actions).