Linear-quadratic games of resource depletion

Technical Report · Sat Jan 01 04:00:00 EST 1983

OSTI ID:5503025

Epple, D; Hansen, L P; Roberds, W

In this paper we describe some methods for quantitatively analyzing dynamic, multiple agent models in which at least one agent takes into account his influence on the aggregate environment such as the degree of competitiveness in the petroleum industry. We confine our attention to models in which the agents solve stochastic, quadratic optimization problems subject to linear constraints. Discussion is presented in the context of a resource depletion example. The players are resource suppliers; the task is to compare their behavior when they play alternative dynamic games. Our approach to solving these models of dynamic games is first to deduce the stochastic Euler equations for each of the agents and then to simultaneously solve these stochastic Euler equations subject to the respective transversality conditions. The solution strategy involves factoring the characteristic polynomial of the system of stochastic difference equations. 22 refs.

• Research Organization: Resources for the Future, Inc., Washington, DC (USA)
• DOE Contract Number: AC01-80PE70267
• OSTI ID: 5503025
• Report Number(s): DOE/PE/70267-T25; ON: DE85016772
• Country of Publication: United States
• Language: English

Related Subjects

02 PETROLEUM
020700* -- Petroleum-- Economics
Industrial
& Business Aspects
29 ENERGY PLANNING, POLICY, AND ECONOMY
290100 -- Energy Planning & Policy-- Energy Analysis & Modeling
294002 -- Energy Planning & Policy-- Petroleum
COMPETITION
INDUSTRY
MATHEMATICAL MODELS
PETROLEUM INDUSTRY
RESOURCE DEPLETION
SIMULATION