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In enzymology, the turnover number (k cat) is defined as the limiting number of chemical conversions of substrate molecules per second that a single active site will execute for a given enzyme concentration [E T] for enzymes with two or more active sites. [1] For enzymes with a single active site, k cat is referred to as the catalytic constant. [2]
Solving mean payoff games can be shown to be polynomial-time equivalent to many core problems concerning tropical linear programming. [8] Another closely related game to the mean payoff game is the energy game, in which the Maximizer tries to maximize the smallest cumulative sum within the play instead of the long-term average.
Cooperative game theory is a branch of game theory that deals with the study of games where players can form coalitions, cooperate with one another, and make binding agreements. The theory offers mathematical methods for analysing scenarios in which two or more players are required to make choices that will affect other players wellbeing. [5]
Quasi-perfect equilibrium is a refinement of Nash Equilibrium for extensive form games due to Eric van Damme. [1]Informally, a player playing by a strategy from a quasi-perfect equilibrium takes observed as well as potential future mistakes of his opponents into account but assumes that he himself will not make a mistake in the future, even if he observes that he has done so in the past.
u 1 / 2 Y + u 1 / 2 Z ⩼ u X. 4 + 5 > 5 Mixed strategy 1 / 2 Y and 1 / 2 Z will dominate pure strategy X for Player 2, and thus X can be eliminated from the rationalizable strategies for P2. For Player 1, U is dominated by the pure strategy D. For player 2, Y is dominated by the pure strategy Z. This leaves M ...
Chemical game theory is an alternative model of game theory that represents and solves problems in strategic interactions, or contested human decision making. Differences with traditional game theory concepts include the use of metaphorical molecules called “knowlecules”, [1] [2] which represent choices and decisions among players in the game.
Subtraction games are generally impartial games, meaning that the set of moves available in a given position does not depend on the player whose turn it is to move.For such a game, the states can be divided up into -positions (positions in which the previous player, who just moved, is winning) and -positions (positions in which the next player to move is winning), and an optimal game playing ...
Sequential equilibrium is a refinement of Nash equilibrium for extensive form games due to David M. Kreps and Robert Wilson.A sequential equilibrium specifies not only a strategy for each of the players but also a belief for each of the players.