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[1] An alternative term suggested "as a more descriptive name for the discipline" is interactive decision theory. [2] Game theory is mainly used in economics, political science, and psychology, as well as logic and biology. The subject first addressed zero-sum games, such that one person's gains exactly equal net losses of the other participant(s).
Constant sum: A game is a constant sum game if the sum of the payoffs to every player are the same for every single set of strategies. In these games, one player gains if and only if another player loses. A constant sum game can be converted into a zero sum game by subtracting a fixed value from all payoffs, leaving their relative order unchanged.
In game theory, the electronic mail game is an example of an "almost common knowledge" incomplete information game. It illustrates the apparently paradoxical [ 1 ] situation where arbitrarily close approximations to common knowledge lead to very different strategical implications from that of perfect common knowledge.
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]
Congestion games (CG) are a class of games in game theory. They represent situations which commonly occur in roads, communication networks, oligopoly markets and natural habitats. There is a set of resources (e.g. roads or communication links); there are several players who need resources (e.g. drivers or network users); each player chooses a ...
[1] [2] The Two Generals' Problem was the first computer communication problem to be proven to be unsolvable. [3] An important consequence of this proof is that generalizations like the Byzantine Generals problem are also unsolvable in the face of arbitrary communication failures, thus providing a base of realistic expectations for any ...
Below, the normal form for both of these games is shown as well. The first game is simply sequential―when player 2 makes a choice, both parties are already aware of whether player 1 has chosen O(pera) or F(ootball). The second game is also sequential, but the dotted line shows player 2's information set. This is the common way to show that ...
This game involves two players in a town having a telephone service with only one telephone line that cuts callers off after a set period of time (e.g., five minutes) if their call is not completed. Assuming one player (the caller) calls a second player (the callee) and is cut-off, then the players will have two potential strategies - wait for ...