The Berge Equilibrium: A Game-Theoretic Framework for the Golden Rule of Ethics by Mindia E. Salukvadze & Vladislav I. Zhukovskiy
Author:Mindia E. Salukvadze & Vladislav I. Zhukovskiy
Language: eng
Format: epub
ISBN: 9783030255466
Publisher: Springer International Publishing
An ordered quadruple
forms a noncooperative two-player game under uncertainty. Here 1 and 2 are the numbers of players; their strategies are . By choosing specific strategies, the players construct a strategy profile x = (q 1, q 2) ∈X = X1 ×X2 in the game. Some nonnegative value of the uncertainty y ∈Y is realized regardless of their choice. The payoff function F i(x, y) (4.2.3) of player i is defined on all pairs (x, y) ∈X ×Y.
Below we will employ two solution concepts, namely, strongly-guaranteed equilibrium and Pareto-guaranteed equilibrium, which were proposed in the papers [73, 74].
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