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The graphical form is an alternate compact representation of a game using the interaction among participants. Consider a game with players with strategies each. We will represent the players as nodes in a graph in which each player has a utility function that depends only on him and his neighbors. As the utility function depends on fewer other ...
The first player unable to extend the path loses. An illustration of the game (containing some cities in Michigan) is shown in the figure below. In a generalized geography (GG) game, we replace the graph of city names with an arbitrary directed graph. The following graph is an example of a generalized geography game.
PDF: Portable Document Format Adobe Systems.pdf, .epdf application/pdf PEF: PENTAX RAW PENTAX TIFF .pef PGF: Progressive Graphics File xeraina GmbH .pgf Photographic images, eventual replacement for JPEG. Yes PGM: Portable Graymap File Format ASCII.pgm image/x-portable-graymap Yes PGML: Precision Graphics Markup Language Adobe Systems, IBM,
For example, graphically simple images (i.e. images with large continuous regions like line art or animation sequences) may be losslessly compressed into a GIF or PNG format and result in a smaller file size than a lossy JPEG format. For example, a 640 × 480 pixel image with 24-bit color would occupy almost a megabyte of space:
In algorithmic game theory, a succinct game or a succinctly representable game is a game which may be represented in a size much smaller than its normal form representation. Without placing constraints on player utilities, describing a game of n {\displaystyle n} players, each facing s {\displaystyle s} strategies , requires listing n s n ...
The normal-form representation of a game includes all perceptible and conceivable strategies, and their corresponding payoffs, for each player. In static games of complete, perfect information, a normal-form representation of a game is a specification of players' strategy spaces and payoff functions. A strategy space for a player is the set of ...