D. Aussel, T.C. Thanh Cong, R. Riccardi, Strategic decision in a two-period game using a multi-leader-follower approach. Part 2 – Decision making for the new player
Full Text: PDF
DOI: 10.23952/jano.4.2022.1.07
Volume 4, Issue 1, 1 April 2022, Pages 87-101
Abstract. In Part 1 of this couple of papers, we introduced the notion of weighted generalized Nash problem and proved the uniqueness of the solution. As a result, multi-leader-follower games and the player-expanded generalized Nash equilibrium problem were rigorously established and well-posed. In this part, we combine our studies of those equilibria and the decision concepts to find the most advantageous strategy for player n+1, who enters in the game already played by n players. Under different hypotheses on the exchange volume, consumption bounds, and cost functions, we determine the favourable strategies for player n+1, which builds a decision making policy. Numerical simulations are also provided.
How to Cite this Article:
D. Aussel, T.C. Thanh Cong, R. Riccardi, Strategic decision in a two-period game using a multi-leader-follower approach. Part 2 – Decision making for the new player, J. Appl. Numer. Optim. 4 (2022), 87-101.