Handbook of Dynamic Game Theory by Tamer Başar & Georges Zaccour

Author:Tamer Başar & Georges Zaccour
Language: eng
Format: epub
ISBN: 9783319443744
Publisher: Springer International Publishing

7.2.2 Optimal Cooperative Strategies in Preceding Stages

Now we proceed to characterize the cooperative scheme at stage . Following the analysis in Sect. 4.1, the payoff of player i at stage k + 1 is , and his payoff at stage k can be expressed as:

(14.74)

for i ∈ N.

At this stage, the players will select a set of weights which leads to satisfaction of the optimality principle P(k, x). The players’ optimal cooperative strategies can be generated by solving the following dynamic programming problem of maximizing the weighted sum of payoffs:

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