Proceedings of the 28th IEEE Conference on Decision and Control
DOI: 10.1109/cdc.1989.70615
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Cooperative n-person Stackelberg games

Abstract: Abstract. Stackelberg games and their resulting nonconvex programming problems can be used to model the behavior of independent decision-makers acting within a hierarchy. This paper examines the formation of coalitions within such organizations of optimizers for a large class of hierarchical problems. The mathematical characterizations of these games and the implications of their solutions are considered.

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Cited by 15 publications
(9 citation statements)
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“…Bialas (1989) presents proof that the formation of coalitions among subsets of negotiating entities (stakeholders) provides a means for achieving Paretooptimality, since every member of a coalition acts in such a way as to benefit the entire coalition.…”
Section: Determination Of Agreement Optionsmentioning
confidence: 99%
“…Bialas (1989) presents proof that the formation of coalitions among subsets of negotiating entities (stakeholders) provides a means for achieving Paretooptimality, since every member of a coalition acts in such a way as to benefit the entire coalition.…”
Section: Determination Of Agreement Optionsmentioning
confidence: 99%
“…• Stackelberg game: -The Stackelberg leadership model is a strategic game in which the leader firm moves first and then the follower firms move sequentially (Bialas, 1989; Stackelberg Competition, http://www.en.wikipedia.org/wiki/Stackelberg_competition).…”
Section: Game Theorymentioning
confidence: 99%
“…An example is a coordination game (Game Theory, http://www.en.wikipedia.org/wiki/Game_theory; Bialas, 1989;Cao et al, 2002;Brandenburg, 2007). An example is a coordination game (Game Theory, http://www.en.wikipedia.org/wiki/Game_theory; Bialas, 1989;Cao et al, 2002;Brandenburg, 2007).…”
Section: Game Theorymentioning
confidence: 99%
“…The determination of the optimal solution for each decision-maker in a coalition is based on a cooperative multi-person games with complete information in which coalition-formation among sub-group members are allowed [22,38,39]. In the context of Game Theory, they [38][39][40] presented a proof that the formation of coalitions among decision-maker provides a means for achieving Pareto optimality.…”
Section: Determining the Optimal Solution (Payoff Optimum)mentioning
confidence: 99%