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Matching games are games that require players to match similar elements. Participants need to find a match for a word, picture, tile or card. For example, students place 30 word cards; composed of 15 pairs, face down in random order. Each person turns over two cards at a time, with the goal of turning over a matching pair, by using their memory.
Rules can be changed here too: it can be agreed before the game starts that matching pairs be any two cards of the same rank, a color-match being unnecessary, or that the match must be both rank and card suit. The game ends when the last pair has been picked up. The winner is the person with the most pairs. There may be a tie for first place.
3-dimensional matchings. (a) Input T. (b)–(c) Solutions. In the mathematical discipline of graph theory, a 3-dimensional matching is a generalization of bipartite matching (also known as 2-dimensional matching) to 3-partite hypergraphs, which consist of hyperedges each of which contains 3 vertices (instead of edges containing 2 vertices in a usual graph).
Matching pennies is a non-cooperative game studied in game theory. It is played between two players, Even and Odd. Each player has a penny and must secretly turn the penny to heads or tails. The players then reveal their choices simultaneously. If the pennies match (both heads or both tails), then Even wins and keeps both pennies.
Tile-matching video games are a type of puzzle video game where the player manipulates tiles in order to make them disappear according to a matching criterion. There are a great number of variations on this theme.
The second innovation in tile-matching games was the incorporation of their mechanic into other genres. One of the first such games was Puzzle Quest: Challenge of the Warlords released in 2008. While based on a Bejeweled-like tile-matching game, Puzzle Quest added elements of a computer role-playing game atop this.
In a positional game, a pairing strategy is a strategy that a player can use to guarantee victory, or at least force a draw. It is based on dividing the positions on the game-board into disjoint pairs. Whenever the opponent picks a position in a pair, the player picks the other position in the same pair.
Numerical 3-dimensional matching is an NP-complete decision problem. It is given by three multisets of integers, and , each containing elements, and a bound .The goal is to select a subset of such that every integer in , and occurs exactly once and that for every triple (,,) in the subset + + = holds.