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Wald's maximin model. In decision theory and game theory, Wald's maximin model is a non-probabilistic decision-making model according to which decisions are ranked on the basis of their worst-case outcomes – the optimal decision is one with the least bad worst outcome. It is one of the most important models in robust decision making in ...
t. e. Game theory is the study of mathematical models of strategic interactions. [ 1 ] It has applications in many fields of social science, and is used extensively in economics, logic, systems science and computer science. [ 2 ] Initially, game theory addressed two-person zero-sum games, in which a participant's gains or losses are exactly ...
Game theory. In game theory, backward induction is a solution methodology that follows from applying sequential rationality to identify an optimal action for each information set in a given game tree. It develops the implications of rationality via individual information sets in the extensive-form representation of a game. [8]
The Kaldor–Hicks criterion is widely applied in game theory's non-zero sum games, such as DOTMLPF, welfare economics, and managerial economics. For example, it forms an underlying rationale for cost–benefit analysis. In cost–benefit analysis, a project (for example, a new airport) is evaluated by comparing the total costs, such as ...
Evolutionary game theory analyses Darwinian mechanisms with a system model with three main components – population, game, and replicator dynamics. The system process has four phases: 1) The model (as evolution itself) deals with a population (Pn). The population will exhibit variation among competing individuals.
Mechanism design, sometimes called implementation theory or institution design, [1] is a branch of economics, social choice, and game theory that deals with designing game forms (or mechanisms) to implement a given social choice function. Because it starts with the end of the game (an optimal result) and then works backwards to find a game that ...
Secretary problem. Graphs of probabilities of getting the best candidate (red circles) from n applications, and k / n (blue crosses) where k is the sample size. The secretary problem demonstrates a scenario involving optimal stopping theory [1][2] that is studied extensively in the fields of applied probability, statistics, and decision theory.
His research contributions include the analysis of the "big match" zero-sum game with David Blackwell, a result that eventually led to the proof of existence of equilibrium values for limiting average payoff in all stochastic games; the Ferguson distribution on prior probability; Ferguson's Dirichlet process; [1] Ferguson's pairing property in ...