Search results
Results from the WOW.Com Content Network
Download as PDF; Printable version; In other projects Wikidata item; ... Left Right Up 0, 0 0, 0 Down 0, 0 0, 0 Payoff matrix: Template documentation Usage. This ...
A payoff function for a player is a mapping from the cross-product of players' strategy spaces to that player's set of payoffs (normally the set of real numbers, where the number represents a cardinal or ordinal utility—often cardinal in the normal-form representation) of a player, i.e. the payoff function of a player takes as its input a ...
This rule does not apply to the case where mixed (stochastic) strategies are of interest. The rule goes as follows: if the first payoff number, in the payoff pair of the cell, is the maximum of the column of the cell and if the second number is the maximum of the row of the cell – then the cell represents a Nash equilibrium.
Risk dominance and payoff dominance are two related refinements of the Nash equilibrium (NE) solution concept in game theory, defined by John Harsanyi and Reinhard Selten.A Nash equilibrium is considered payoff dominant if it is Pareto superior to all other Nash equilibria in the game. 1 When faced with a choice among equilibria, all players would agree on the payoff dominant equilibrium since ...
A straightforward example of maximizing payoff is that of monetary gain, but for the purpose of a game theory analysis, this payoff can take any desired outcome—cash reward, minimization of exertion or discomfort, or promoting justice can all be modeled as amassing an overall “utility” for the player.
The pay-off for any single round of the game is defined by the pay-off matrix for a single round game (shown in bar chart 1 below). In multi-round games the different choices – co-operate or defect – can be made in any particular round, resulting in a certain round payoff.
Payoff functions, u Assign a payoff to a player given their type and the action profile. A payoff function, u = (u 1, . . . , u N) denotes the utilities of player i Prior, p A probability distribution over all possible type profiles, where p(t) = p(t 1, . . . , t N) is the probability that Player 1 has type t 1 and Player N has type t N.
This is a documentation subpage for Template:Payoff matrix. It may contain usage information, categories and other content that is not part of the original template page. Usage