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A dynamic Model of International Fishing
Szidarovszky, Ferenc,Okuguchi, Koji Seoul National University 2000 Seoul journal of economics Vol.13 No.4
International commercial fishing is examined when the harvesting countries form a coalition, and at each time period the total profit of the coalition is maximized. The fishing activity is combined with population dynamics to derive a special dynamic systems model for the fish stock. A complete description is presented for the number of positive equilibria and for the monotonic and asymptotical properties of the fish stock. The harvesting rates of cooperating and competing countries are compared and it is shown that the fish stock is more stable in the case of cooperation.
An Oligopoly Model of Commercial Fishing
Ferenc Szidarovszky,Koji Okuguchi 서울대학교 경제연구소 1998 Seoul journal of economics Vol.11 No.3
Population dynamics and oligopoly theory are combined to formulate international fishery under imperfect competition. It is assumed that fish harvesting countries behave as oligopolist, but their costs depend on their harvest rates as well as on the total fish stock, which is governed by the biological growth law. e show that the number of nonextlnct equilibria is 0, 1, or 2, and characterize the dynamic behavior of the fish stock in terms of model parameters and initial fish stock level. Finally, We analyze how the steady state equilibrium fish stock is affected by entry of a new fishing country.
CONFLICT RESOLUTION IN FUZZY ENVIRONMENT
Shen, Ling,Szidarovszky, Ferenc 한국전산응용수학회 1998 Journal of applied mathematics & informatics Vol.5 No.1
Conflict resolution methodology is discussed with fuzzified Pareto frontier. Four solution concepts namely the Nash solution the generalized nash solution the kalai-Smorodinsky concept and a solution method based on a special bargaining process are examined. The solutions are also fuzzy, the corresponding payoff values are fyzzy numbers the membership functions of which are determined. Three particular cases are considered in the paper. Linear quadratic, and general nonlinear pareto frontiers with known shape are examined.