Duopoly Market Analysis within One-Shot Decision Framework with Asymmetric Possibilistic Information

Guo, Peijun; Yan, Ruiliang; Wang, John

doi:10.1080/18756891.2010.9727741

Cited by 18 publications

(5 citation statements)

References 23 publications

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“…If (31) does not hold, then we have π ξ(x) = min π ξ(x) , u ξ(x), x . Considering (30), if π(ξ) < u(ξ, x), we can obtain that π ξ(x) = min π ξ(x) , u ξ(x), x ≥ min π(ξ), u(ξ, x) = π(ξ).…”

Section: Lemmamentioning

confidence: 99%

“…We build production planning models with the one-shot decision theory which is proposed by Guo [31]. The one-shot decision theory has been utilized for analyzing a duopoly market of a new product with a short life cycle [29,30], newsvendor problems for innovative products [32], multi-stage one-shot decision making problems [33] and first-price sealed-bid auctions [63]. For the sake of simplicity, we only consider the market uncertainty which is characterized by a random vector of unit profits of innovative products and all decision variables (the production levels of all products) represent here-and-now decisions.…”

Section: Introductionmentioning

confidence: 99%

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Bilevel programming approaches to production planning for multiple products with short life cycles

Zhu

Guo

2019

4OR-Q J Oper Res

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We provide decision-making models for a manufacturer which plans to produce multiple short life cycle products with the one-shot decision theory. The obtained optimal production quantities are based on the most appropriate scenarios for the manufacturer. Since the models are the bilevel programming problems with the max-min or min-max operator in the lower levels, we propose two approaches to translate them into general single-level optimization problems such that they can be solved via the commonly used optimization methods. The effectiveness of our approaches is examined from the theoretical and computational aspects.

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Section: Lemmamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Bilevel programming approaches to production planning for multiple products with short life cycles

Zhu

Guo

2019

4OR-Q J Oper Res

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“…The second step is to evaluate the alternatives by the satisfaction levels incurred by the focus points for obtaining the optimal alternative. Based on OSDT, plenty kinds of decision making problems have been researched [9,10,12,14,16,21,30]. Guo and Ma [15] proposed the newsvendor model for innovative products where the manufacturer was in a perfect competitive market so that the sale price was given.…”

Section: Introductionmentioning

confidence: 99%

Pricing to the Scenario: Price-Setting Newsvendor Models for Innovative Products

Ma¹

2019

Preprint

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In this paper, we consider a manufacturer who produces and sells a kind of innovative product in the monopoly market environment. Because the life cycle of innovative product is usually shorter than its procurement lead time, one unique demand quantity (scenario) will occur in the selling season, thus there is only one chance for the manufacturer to determine both optimal production quantity and optimal sale price. Considering this one-time feature of such a decision problem, a price-setting newsvendor model for innovative products is proposed. Different to the existing price-setting newsvendor models, the proposed models determine the optimal production quantity and sale price based on some specific state (scenario) which is most applicable for the manufacturer. The theoretical analysis provides managerial insights into the manufacturers’ behaviors in a monopoly market of an innovative product and several phenomena in the luxury goods market are well explained.

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“…Guo (2010) [6] initially proposed a one-shot decision approach to solve for the Cournot equilibrium. [7] further extended the method proposed in Guo [6] to a duopoly market with asymmetric possibilistic information describing the demand uncertainty only known by one firm. Colombo and Labrecciosa (2013) [8] pointed out that when the asset stock grows sufficiently fast, the dynamic Cournot game corresponds to the static Cournot solution.…”

Section: Introductionmentioning

confidence: 99%

The Optimum Output Quantity for Different Competitive Behaviors under a Fuzzy Decision Environment

Sun

Wang

2015

Mathematical Problems in Engineering

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Due to the uncertainty of information and complexity of decision-making environment, the optimum output quantity is studied under a fuzzy decision environment. Firstly, the triangular intuitionistic fuzzy model is proposed. Secondly, the optimum output quantity is discussed for four patterns to market structure. Thirdly, the effect of fuzzy parameter on optimum output quantity and total market demand is discussed. Finally, a numerical example is given to illustrate the concrete application of the proposed model.

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Duopoly Market Analysis within One-Shot Decision Framework with Asymmetric Possibilistic Information

Cited by 18 publications

References 23 publications

Bilevel programming approaches to production planning for multiple products with short life cycles

Bilevel programming approaches to production planning for multiple products with short life cycles

Pricing to the Scenario: Price-Setting Newsvendor Models for Innovative Products

The Optimum Output Quantity for Different Competitive Behaviors under a Fuzzy Decision Environment

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