# Decision-making by hierarchies of discordant agents

- First Online:

DOI: 10.1007/3-540-63890-3_21

- Cite this paper as:
- Deng X., Papadimitriou C. (1997) Decision-making by hierarchies of discordant agents. In: Leong H.W., Imai H., Jain S. (eds) Algorithms and Computation. ISAAC 1997. Lecture Notes in Computer Science, vol 1350. Springer, Berlin, Heidelberg

## Abstract

We study the following decision-making scenario: A linear program is solved by a set of agents arranged hierarchically in a tree, where each agent decides the level of certain variables, and has a distinct objective function, known to all agents. Authority is reflected in two ways: Agents higher in the tree set their variables first; and agents that are siblings in the tree resolve their game by focusing on the Nash equilibrium that is optimum for the agent above them. We give a necessary and sufficient condition for such a hierarchy to be efficient (i.e., to have perfect coordination, to ultimately optimize the objective of the firm). We study problems related to designing a hierarchy (assigning decision makers to positions in the tree) in order to achieve efficiency or otherwise optimize coordination.

## Preview

Unable to display preview. Download preview PDF.