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In computability theory, an undecidable problem is a decision problem for which an effective method (algorithm) to derive the correct answer does not exist. More formally, an undecidable problem is a problem whose language is not a recursive set; see the article Decidable language.
For decision problems on natural numbers, the set consists of those numbers that the decision problem answers "yes" to. For example, the decision problem "is the input even?" is formalized as the set of even numbers. A decision problem whose input consists of strings or more complex values is formalized as the set of numbers that, via a ...
Having more choices, such as a vast amount of goods and services available, appears to be appealing initially, but too many choices can make decisions more difficult. According to Miller (1956), a consumer can only process seven items at a time. After that the consumer would have to create a coping strategy to make an informed decision. [8]
The associated decision problem is: for each N, to decide whether the graph has any tour with weight less than N. By repeatedly answering the decision problem, it is possible to find the minimal weight of a tour. Because the theory of decision problems is very well developed, research in complexity theory has typically focused on decision problems.
Decision-making paradox: Selecting the best decision-making method is a decision problem in itself. Ellsberg paradox : People exhibit ambiguity aversion (as distinct from risk aversion ), in contradiction with expected utility theory.
That is a decision problem and happens to be NP-complete. There are decision problems that are NP-hard but not NP-complete such as the halting problem. That is the problem which asks "given a program and its input, will it run forever?" That is a yes/no question and so is a decision problem. It is easy to prove that the halting problem is NP ...
Heuristics (from Ancient Greek εὑρίσκω, heurískō, "I find, discover") is the process by which humans use mental shortcuts to arrive at decisions. Heuristics are simple strategies that humans, animals, [1] [2] [3] organizations, [4] and even machines [5] use to quickly form judgments, make decisions, and find solutions to complex problems.
Classic examples of wicked problems include economic, environmental, and political issues. A problem whose solution requires a great number of people to change their mindsets and behavior is likely to be a wicked problem. Therefore, many standard examples of wicked problems come from the areas of public planning and policy.