1 something that results; "he listened for the results on the radio" [syn: result, resultant, final result, termination]
2 a phenomenon that follows and is caused by some previous phenomenon; "the magnetic effect was greater when the rod was lengthwise"; "his decision had depressing consequences for business"; "he acted very wise after the event" [syn: consequence, effect, result, event, issue, upshot]
- Information, event, object or state of being produced as a
result or consequence of a plan, process, accident, effort or other
similar action or occurrence.
- A quality automobile is the outcome of the work of skilled engineers and thousands of workers.
- In the context of "education": The results or evidence of
students' learning experience. Often used in place of desired
- The outcomes of this course are outlined in your syllabus.
- Czech: výsledek
In game theory, an outcome is a set of moves or strategies taken by the players, or their payoffs resulting from the actions or strategies taken by all players. The two are complementary in that given knowledge of the set of strategies of all players, the final state of the game is known, as are any relevant payoffs. In a game where chance or a random event is involved, the outcome is not known from only the set of strategies, but is only realized when the random event(s) are realized.
A set of payoffs can considered set of N-tuples, where N is the number of players in the game, and the cardinality of the set is equal to the total number of possible outcomes when the strategies of the players are varied. The payoff set can thus be partially ordered, where the partial ordering comes from the value of each entry in the N-tuple. How players interact to allocate the payoffs among themselves is a fundamental aspect of economics.
Choosing among outcomes
Many different concepts exist to express how players might interact. An optimal interaction might be one in which no player's payoff can be made greater, without making any other player's payoff lesser. Such a payoff is called Pareto efficient, and the set of such payoffs is called the Pareto frontier.
Many economists study the ways in which payoffs are in some sort of economic equilibrium. One example of such an equilibrium is the Nash equilibrium, where each player plays a strategy such that their payoff is maximized given the strategy of the other players.
Equilibria are not always Pareto efficient, and a number of game theorists design ways to enforce Pareto efficient play, or play that satisfies some other sort of social optimality. The theory of this is called implementation theory. Other economists seek to design games based on a certain set of outcomes, an effort which goes under the name of mechanism design.
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