FUZZY PROFIT FOR LINEAR DEMAND FUNCTIONS USING POLYGONAL FUZZY NUMBERS

Equilibrium production, equilibrium price and equilibrium total revenue in the case of implementing third-degree price discrimination and unified pricing were analyzed under the condition of two oligopoly firms with 2 sub markets by complete information static game method, and the relationship between the three indexes of the two cases were studied. The results showed that, under the condition of linear demand functions of the two sub markets, the equilibrium output of unified pricing was equal to the equilibrium output of discriminative pricing; the equilibrium price of unified pricing was weighted average of the equilibrium prices of two sub markets while discriminative pricing; the equilibrium total revenue of unified pricing was less than the equilibrium total revenue of discriminative pricing.

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Linear demand functions in theory and practice

Journal of Economic Theory ◽

10.1016/0022-0531(85)90034-1 ◽

1985 ◽

Vol 37 (1) ◽

pp. 147-166 ◽

Cited By ~ 41

Author(s):

Jeffrey T LaFrance

Keyword(s):

Theory And Practice ◽

Demand Functions ◽

Linear Demand

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Consumer Preferences, Linear Demand Functions and Aggregation in Competitive Asset Markets

The Review of Economic Studies ◽

10.2307/2297010 ◽

1979 ◽

Vol 46 (3) ◽

pp. 407 ◽

Cited By ~ 16

Author(s):

Frank Milne

Keyword(s):

Consumer Preferences ◽

Asset Markets ◽

Demand Functions ◽

Linear Demand

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Marginal Utility and Cournot Stability Under Market Entry

Studies in Business and Economics ◽

10.2478/sbe-2021-0015 ◽

2021 ◽

Vol 16 (1) ◽

pp. 187-197

Author(s):

Gerasimos Soldatos

Keyword(s):

Market Entry ◽

Marginal Utility ◽

Mean Value ◽

Mean Value Theorem ◽

Demand Functions ◽

Product Heterogeneity ◽

Linear Demand ◽

Rate Of Decline ◽

Product Homogeneity ◽

The Stability

Abstract This paper introduces into the discussion of the stability of quantity-oligopoly equilibrium, the role that the slope of the marginal utility curve and of market entry in shaping the equilibrium and its stability. It does so by considering inverse multivariate linear demand functions and the notion of stability related to multivariate mean value theorem. The equilibrium cluster of Cournot sellers is determined by the stability dictated by this theorem and the rate of decline of the marginal utility of the product under consideration. Strategic complementarity is found to be the case under product heterogeneity, while the strategic substitutability associated with product homogeneity, induces a modification of Cournot limit theorem.

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Decision making method for evaluating logistics companies based on the ordered representation of the polygonal fuzziness1

Journal of Intelligent & Fuzzy Systems ◽

10.3233/jifs-191588 ◽

2020 ◽

Vol 39 (3) ◽

pp. 3151-3166

Author(s):

Xiaoping Li ◽

Yujie Tao ◽

Yanhong Li

Keyword(s):

Decision Making ◽

Euclidean Distance ◽

Fuzzy Numbers ◽

Decision Matrix ◽

Arithmetic Average ◽

Weighted Arithmetic ◽

Relative Closeness ◽

Negative Ideal Solution ◽

Arbitrary Precision ◽

Polygonal Fuzzy Numbers

A polygonal fuzzy numbers can describe fuzzy information by means of finite ordered real numbers. It not only overcomes the complexity of traditional fuzzy number operations, but also keeps some good properties of trapezoidal fuzzy numbers, and it can approximate general fuzzy numbers with arbitrary precision. In this paper, a weighted arithmetic average operator is defined by the ordered representation and its operations of the polygonal fuzzy numbers, and a new Euclidean distance for measuring the polygonal fuzzy numbers is given. Secondly, in view of cost attribute and benefit attributes, the polygonal fuzzy decision matrix is normalized, and the weighted Euclidean distance is used to solve the positive (negative) ideal solution and the relative closeness of the decision matrix, and then a new decision method is given. Finally, the effectiveness of the proposed decision-making method is illustrated by an example of the evaluation of logistics companies by shopping websites.

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