Chemical Game Theory
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Chemical Game Theory
Chemical game theory is an alternative model of game theory that represents and solves problems in strategic interactions, or contested human decision making. Differences with traditional game theory concepts include the use of metaphorical molecules called “knowlecules”, which represent choices and decisions among players in the game. Using knowlecules, entropic choices and the effects of preexisting biases are taken into consideration. A game in chemical game theory is then represented in the form of a process flow diagram consisting of unit operations. The unit operations represent the decision-making processes of the players, and have similarities to the garbage can model of political science. A game of N players, N being any integer An integer is the number zero (), a positive natural number (, , , etc.) or a negative integer with a minus sign ( −1, −2, −3, etc.). The negative numbers are the additive inverses of the corresponding positive numbers. In the ...
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Game Theory
Game theory is the study of mathematical models of strategic interactions among rational agents. Myerson, Roger B. (1991). ''Game Theory: Analysis of Conflict,'' Harvard University Press, p.&nbs1 Chapter-preview links, ppvii–xi It has applications in all fields of social science, as well as in logic, systems science and computer science. Originally, it addressed two-person zero-sum games, in which each participant's gains or losses are exactly balanced by those of other participants. In the 21st century, game theory applies to a wide range of behavioral relations; it is now an umbrella term for the science of logical decision making in humans, animals, as well as computers. Modern game theory began with the idea of mixed-strategy equilibria in two-person zero-sum game and its proof by John von Neumann. Von Neumann's original proof used the Brouwer fixed-point theorem on continuous mappings into compact convex sets, which became a standard method in game theory and mathema ...
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Process Flow Diagram
A process flow diagram (PFD) is a diagram commonly used in chemical and process engineering to indicate the general flow of plant processes and equipment. The PFD displays the relationship between ''major'' equipment of a plant facility and does not show minor details such as piping details and designations. Another commonly used term for a PFD is ''flowsheet''. Typical content of a process flow diagram Typically, process flow diagrams of a single unit process will include the following: * Process piping * Major equipment items *Connections with other systems * Major bypass and recirculation (recycle) streams * Operational data (temperature, pressure, mass flow rate, density, etc.), often by stream references to a mass balance. * Process stream names Process flow diagrams generally do not include: * Pipe classes or piping line numbers * Instrumentation details * Minor bypass lines * Instrumentation * Controllers like Level Control or Flow Control * Isolation and shutoff valves ...
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Integer
An integer is the number zero (), a positive natural number (, , , etc.) or a negative integer with a minus sign (−1, −2, −3, etc.). The negative numbers are the additive inverses of the corresponding positive numbers. In the language of mathematics, the set of integers is often denoted by the boldface or blackboard bold \mathbb. The set of natural numbers \mathbb is a subset of \mathbb, which in turn is a subset of the set of all rational numbers \mathbb, itself a subset of the real numbers \mathbb. Like the natural numbers, \mathbb is countably infinite. An integer may be regarded as a real number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, , and  are not. The integers form the smallest group and the smallest ring containing the natural numbers. In algebraic number theory, the integers are sometimes qualified as rational integers to distinguish them from the more general algebraic integers ...
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