Application of game theoretic analysis to a problem in demography
Article Abstract:
Governments in some nations have attempted over the last 20 years to draw most industry to their largest cities. A large increase in both urban population and land areas has been the general result, as adjacent rural areas are removed from agricultural use and become urbanized. This can represent a real loss to a nation's agricultural capacities when the land involved is especially fertile. Study of the Nash equilibria indicates that in light of political pressures, a real danger exists that this process will continue until all or most of the land becomes urbanized. Particular focus is given to conditions in the South American nation of Colombia and encroachment by the city of Bogota on the surrounding fertile plateau.
Publication Name: Management Science
Subject: Business, general
ISSN: 0025-1909
Year: 1987
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Strategic implications of market share attraction models
Article Abstract:
Market share attraction models, which have received increasing attention in recent years, specify that a firm's market share is equal to the ratio of its 'attraction' to the total attraction of all firms. There has been little, however, which demonstrates the practical implications of market share attraction models. A game-theoretic analysis of market share attraction models is presented, using the solution concept of a Nash equilibrium, and deducing the strategic implications of such an equilibrium. The practical implications of the model are shown to be consistent with previous empirical research.
Publication Name: Management Science
Subject: Business, general
ISSN: 0025-1909
Year: 1985
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The structure of equilibria in market share attraction models
Article Abstract:
A constant sum, two-person game formulation is used to develop a market share attraction model of competitive effort allocation by two enterprises. Examination is made of the dependence of optimal competitive effort allocations on such factors as gross profit margins, attraction elasticity, and relative effectiveness of effort. Two versions of the market share attraction model are developed, in each of which the competitive advantage ratio is an important parameter function. Implications are derived for differences in the cost associated with each competitor's budget on equilibrium allocations.
Publication Name: Management Science
Subject: Business, general
ISSN: 0025-1909
Year: 1987
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