Sentence examples for n player from inspiring English sources

That is, for every (iin N), player i's strategy set is assumed to be a poset ((S _{i}, succcurlyeq _{i})).

Recall that, for every (iin N), player i's strategy set is assumed to be a poset ((S _{i}, succcurlyeq _{i})).

For every (iin N), player i's discounted value of utility at a profile (x in S _{N}) is h_{i}(x) = sum_{k = 0}^{infty } rho ^{k}f_{i}(Pi _{k}x).

A differential N player game, with N players and where is the players set, has the following elements: A continuous time interval, t∈ [ 0,t f ], where t f is the final time of the game.

The rule for playing a game Γ = ( N, S, P, U ) is that when all n players simultaneously and independently choose their own strategies x 1, x 2, …, x n, respectively, to act, where x i ∈ S i, for i = 1, 2, …, n, player i will receive his utility (payoff) P i ( x 1, x 2, …, x n ) ∈ U.

We consider N player's game.

Consider a game G = ( u n, K n ) with N players denoted by n, n = 1, …, N, where K n ⊂ R m n is the set of possible strategies of the n th player and is assumed to be nonempty, compact and convex and u n : K : = K 1 × K 2 ⋯ × K N → R is the payoff (or gain function) of the player n and is assumed to be continuous.

An optimization problem for a stochastic system of N players is presented.

Independent samples from an unknown probability distribution p on a domain of size k are distributed across n players, with each player holding one sample.

We assume N players and denote by Aij (1 ≤ i, j ≤ N) the number of times that player j wins against player i during the entire period.

We then extend our approximation to the more general k-majority voting games and show that, for n players, the method has time complexity O k2n) and the upper bound on its approximation error is O k2/√n).