WO1998053415A1 - A method for incorporating psychological effects into demand models - Google Patents
A method for incorporating psychological effects into demand models Download PDFInfo
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- WO1998053415A1 WO1998053415A1 PCT/US1998/010521 US9810521W WO9853415A1 WO 1998053415 A1 WO1998053415 A1 WO 1998053415A1 US 9810521 W US9810521 W US 9810521W WO 9853415 A1 WO9853415 A1 WO 9853415A1
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
- G06Q10/00—Administration; Management
- G06Q10/06—Resources, workflows, human or project management; Enterprise or organisation planning; Enterprise or organisation modelling
- G06Q10/063—Operations research, analysis or management
- G06Q10/0637—Strategic management or analysis, e.g. setting a goal or target of an organisation; Planning actions based on goals; Analysis or evaluation of effectiveness of goals
- G06Q10/06375—Prediction of business process outcome or impact based on a proposed change
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
- G06Q20/00—Payment architectures, schemes or protocols
- G06Q20/08—Payment architectures
- G06Q20/20—Point-of-sale [POS] network systems
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
- G06Q30/00—Commerce
- G06Q30/02—Marketing; Price estimation or determination; Fundraising
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
- G06Q30/00—Commerce
- G06Q30/02—Marketing; Price estimation or determination; Fundraising
- G06Q30/0201—Market modelling; Market analysis; Collecting market data
- G06Q30/0202—Market predictions or forecasting for commercial activities
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
- G06Q30/00—Commerce
- G06Q30/02—Marketing; Price estimation or determination; Fundraising
- G06Q30/0201—Market modelling; Market analysis; Collecting market data
- G06Q30/0206—Price or cost determination based on market factors
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
- G06Q30/00—Commerce
- G06Q30/02—Marketing; Price estimation or determination; Fundraising
- G06Q30/0241—Advertisements
Definitions
- the present invention relates to demand models, and more particularly, to software that incorporates psychological factors into consumer demand models.
- the present invention provides a method for incorporating psychological effects such as price thresholds and promotional activity into a demand model.
- software is used to implement a demand model that is modified to include the price threshold.
- any demand model may be used, as the invention modifies only the price variable in the demand model, leaving the other parts untouched.
- the modified demand model can be used anywhere that an unmodified demand model would be used, for example, in a forecasting system. A particularly important use is as part of a price optimization routine, where the model is tuned to a sales history and then used to generate predicted optimal prices.
- the demand model can be further modified to account for promotional effects. This is accomplished by making use of a novel concept called "visibility,” which is defined as the amount by which the demand for an item is increased when a given promotion is run. Associated with each promotion is a visibility, which in general can be determined from empirical study, and a promotional cost, i.e., the amount of money spent on the promotion. By including the visibility in the demand model and also taking into account the promotional cost, the pricing and promotional decisions can be optimized together such that an optimized maximum profit can be obtained. For example, the method of the present invention could be utilized to determine both an optimum price and an optimum promotional activity, such as a newspaper ad, for a given item so that the highest profits could be obtained. In addition to sales of items, the above techniques can be applied to the sale of services.
- Fig. 1 is a high-level block diagram of a general-purpose computer system used in accordance with the present invention
- Fig. 2 is a picture of an example of aninput menu displayed on the display device
- Fig. 3 is a flowchart describing the overall operation of a preferred embodiment of the system
- Fig. 4A is a flowchart of a preferred embodiment of the Model Selection routine
- Fig. 4B is a picture of an example of possible user input displayed on the display device for the Model Selection routine
- Fig. 5 is a flowchart of a first preferred embodiment of a routine for incorporating perceived prices into a demand model
- Fig. 6 is a table representing a data structure in memory in the first preferred embodiment of the routine for incorporating perceived prices into a demand model
- Fig. 7 is an example of a price decomposition used in a first preferred embodiment of the routine for incorporating perceived prices into a demand model
- Fig. 8 is a flowchart of a second preferred embodiment of a routine for incorporating perceived prices into a demand model
- Fig. 9 is a table representing a data structure stored in memory of a second preferred embodiment of the routine for incorporating perceived prices into a demand model
- Fig. 10 is an example of a perceived price determined from the data from Fig. 9;
- Fig. 11 is an example of a visibility table
- Fig. 12 is a table representing an example of a data structure stored in memory holding the results of the Optimizing Process.
- the present invention provides a computer-implemented method for incorporating psychological effects such as price thresholds and promotional activity into a demand model.
- a retailer utilizes collected point-of-sale data (hereinafter "sales data") to predict the consumer demand of its retail products.
- sales data collected point-of-sale data
- the retailer selects an appropriate consumer demand model which is modified to incorporate the psychological effects that various pricing and promotional decisions have on consumers.
- the modified demand model is then tuned to the sales data, and can be used anywhere an unmodified demand model would be used, for example, in a price optimization routine.
- a system includes: an input device 101 such as a keyboard, through which a user enters commands, inputs functions, etc.; a display device 102 for displaying tables, etc.; a storage device 103 such as hard disk drive for storing results; a memory 104 for storing program instruction, tables and results; a processor 105 for performing various kinds of processing and controlling the overall operation of the system.
- an input device 101 such as a keyboard, through which a user enters commands, inputs functions, etc.
- a display device 102 for displaying tables, etc.
- a storage device 103 such as hard disk drive for storing results
- a memory 104 for storing program instruction, tables and results
- a processor 105 for performing various kinds of processing and controlling the overall operation of the system.
- the memory 104 includes: a general control portion 111 for storing program instructions for controlling the overall operation of the system; a Tuning portion 112 for performing the tuning of a modified demand model; an Optimizing portion 113 for generating optimized prices; an internal storage portion 114 for storing data necessary for the various routines.
- a retailer seeking to utilize a demand model to analyze pricing decisions is shown a menu on the display device 102 as illustrated in Figure 2.
- the user enters one of the following selections through the input device 101: '1' to select models, '2' to perform the tuning process, '3' to perform the optimization of prices and promotional decisions, '4' to output results to the storage device 103, and 'Q' to terminate use of the system.
- Other appropriate methods and formats of input can, of course, be used.
- the processor 105 receives the entered information, and the situation of the system is passed to one of the appropriate steps described below, according to the inputted value. This is represented schematically in Figure 3.
- Step 1001 Model Selection
- the user first selects a consumer demand model to be tuned to the sales data.
- a perceived pricing model i.e., a model that predicts the psychological effects that given prices have on consumers
- a visibility model i.e., a model that predicts the psychological effects that given promotions will have on consumers
- the selected demand model is modified with the selected perceived pricing model and the selected visibility model.
- This modified demand model is then tuned to the sales data. It will be appreciated by those having ordinary skill in the art that a retailer can utilize this tuned demand model to make pricing and promotion decisions that are consistent with the psychological effects that those decisions will have on consumers. The details of a preferred embodiment of this routine are discussed below.
- Step 1003 Optimization Process At this step, the parameters of the modified demand model are used to generate a set of optimized prices and promotional decisions.
- the optimized prices and promotional decisions are outputted to the external storage device 103, from which they may be accessed for implementation by an appropriate user.
- the user enters a demand model to predict sales.
- Consumer demand models are known in the art, and in a preferred embodiment, the user will be provided with a database of predefined demand models from which to choose.
- a demand model q q(p; X) gives the predicted sales q of an item based upon its price p and possibly other factors X.
- the demand model illustrated in Figure 4B is a one-dimensional model that determines the demand for an item i based solely upon operational variables affecting item i, such as price p; however, it should be appreciated that the present invention can be utilized with any demand model, for example, one that incorporates the price of other items, the sales history of selected items, etc.
- the user selects a perceived pricing model, which is utilized to predict the perceived prices — i.e., the prices that account for the price threshold phenomenon.
- the user will be provided with a database of predefined perceived pricing models from which to choose, and will also have the option of defining a new perceived pricing model.
- the perceived pricing model of a preferred embodiment will be represented as a function having the form p(p; Bi N ). This function depends upon the original price p as well as a number of parameters Bi N ; two preferred embodiments of the perceived pricing model will be discussed below.
- the user selects a visibility model, which measures the change in demand of an item due to various levels of promotion of that item.
- the user will be provided with a database of predefined visibility models which are constructed from the sales history, and will also have the option of defining a new visibility model.
- the visibility model of a preferred embodiment will be represented as a visibility cost function having the form Cy(N), which gives the cost that a promotion incurs, as a function of the visibility, denoted as N. This quantity is defined as the increase in demand that a promotion incurs, relative to the demand without promotion.
- Cy(N) This quantity is defined as the increase in demand that a promotion incurs, relative to the demand without promotion.
- This modified demand model is then fitted to a sales history, as would be done with a ordinary demand model.
- the parameters Bi ⁇ from perceived pricing model are also fitted.
- the visibility is also used to modify the sales history according to the promotional activity that was occurring at the time of the sale.
- the tuning may be performed using the perceived pricing process, using the following modified demand model:
- This tuning may be performed using any standard fitting technique, such as the chi-squared method; such fitting techniques are well known in the art.
- a user can utilize the fitted, modified demand model from the Tuning Process to determine the price for each item that will maximize profits.
- profits can be maximized by optimizing a profit function having the general form:
- the independent variables that the profit II depends upon are the price p; for each item and the visibility V for each item.
- the optimization routine can also optimize the promotional activity on the item, which is now encapsulated in the variable V. Since the cost C v i of the promotions is now incorporated into the profit objective function, both pricing and promotion decisions can be optimized in a comprehensive manner.
- the optimization of prices and promotions that yield the maximum profits ⁇ can be performed using any mathematical optimization routine.
- a preferred technique is the method of simulated annealing which is presented in W. Press et. al, Numerical Recipes: The Art of Scientific Computing, Cambridge University Press, New York (1992), which is hereby incorporated by reference. Because the modified demand model q(p(p)) may potentially be a set of coupled, multidimensional, nonlinear and discontinuous equations, simulated annealing is particularly suited for this type of optimization.
- the prices may be assigned to the items and the promotional activity which corresponds to the value of V may be implemented for each item.
- An example of possible output from the optimization process is provided in Figure 12. As illustrated, the output comprises a list of items, an optimal price for each item, and an optimal level of visibility for each item.
- a pricing manager seeking to maximize profits is provided with list of prices and corresponding promotional activity
- Perceived Pricing The determination of the perceived prices involves taking the original price p and converting it to aperceived price p that the shopper unconsciously believes the item has. Two preferred embodiments for making this conversion are presented below. Each embodiment presents a way to construct a routine that takes as input the price p and a set of parameters B, N , and outputs a psychological price p.
- the user chooses a set of base units D u , which represent monetary units to which consumers are likely to be attuned in a given market.
- the units chosen will vary according to the local currency or currencies, common counting units in the market of interest, etc.
- An example of one possible set of base units D u that may be input by the user is denoted by reference numeral 150 in Figure 6. It is further contemplated that an optimum set of base units D u can be determined by analyzing the chi-squared value that is yielded when the weighting function (discussed below) is fit to the sales data using the various possible combinations of base units for the local currency.
- Step 1202 the price p is decomposed into the set of base units D u 150.
- the price p is decomposed by choosing a set of N u such that the following equation is satisfied:
- the price $1.99 is thus decomposed into 9 units of $0.01, 4 units of $0.10, 1 unit of $0.50 and 1 unit of $1,00.
- a weighting function having the general form T u T U (D U ; B ⁇ . .. N ) is selected.
- the weighting function includes a set of parameters that is used to tune the perceived pricing model to the sales data.
- the weighting function will vary according to factors such as the desired ending number frequency.
- One possible form is
- D max is the largest base unit in the list D u that is contained in the price p, and ⁇ is the only tunable parameter.
- the perceived price is next composed according to the following equation
- the perceived price of $2.20 is determined in Figure 7, which makes use of the price decomposition from Figure 6.
- a second preferred embodiment of the perceived pricing model will be described below in conjunction with Figures 8-10. This second preferred embodiment is based on the recognized fact that consumers may perceive a price p as being perceptually similar to other prices.
- the user selects a set of base prices p u , based upon the price p.
- the set of base prices p u is constructed by listing a set of perceptually similar prices for each price p. For example, a price of $1.99 might be perceived by consumers as $1, $1.9, or $1.99. The perceptually similar prices will necessarily be different for every price point; however, the example in Figure 9 shows that the ignoring of successive digits is a process that is easily generalized into a set of base prices p u .
- Other sets of base prices can, of course, be used. For example, a price of $2.69 could be perceived as $2, $2.6, $2.69, or $2.96. (Step 1302)
- the user selects an appropriate set of weighting functions w u that estimate the likelihood that a consumer would perceive the price p as p u .
- the choice of weighting functions will depend upon the choice of perceptually similar prices from the previous step. In the example from above, where the perceptually similar prices were chosen by ignoring successive digits, the weighting functions can be constructed by estimating the percentage of shoppers that would successively ignore one or two digits, and applying this percentage as the weighting function w u ; this is demonstrated in Figure 9. It should be appreciated that the weighting functions could take various other forms and be constructed in many different manners.
- Step 1303 The perceived price p is next composed according to the following form
- the perceived price represents an effective price that averages all the different perceptions that shoppers might have of the original price.
- a sample calculation is shown in Figure 10, making use of the data in Figure 9.
- the perceived price is usually quite different from the actual price. For example, as shown in Figure 9, a price of $1.99 is perceived by the consumer as being a price of $1.89. This is precisely the effect that the perceived pricing function is attempting to capture.
- the perceived pricing method is used in a demand model, the true demand based on the perceived price of an item is used to optimize the true price. In calculating all other quantities, such as profits, sales, etc., the true price of the items is used.
- the choice of the visibility model is determined by the types of promotions that are run, and the general effects of those promotions on sales.
- the visibility model describes how the demand for an item changes according to a promotion run on the item. For instance, if there is a sign in a store that displays a particular item's price, it may be expected that the demand for that item will increase. However, if there is a newspaper advertisement, the increase in demand will be different, and different yet again for a radio or television commercial. In addition, each of these promotional methods will have a particular cost associated with them.
- the visibility model will be in the form of a table providing the relative increase in demand for an item at a given price vis- a-vis no promotion, along with the cost of the promotion.
- This table would thus provide a definition of the visibility cost function Cv(V).
- An example of such a table is shown in Figure 12, and can be constructed by analyzing in the sales history, the demand for individual items for given promotions. In many instances, a single promotion, such as a newspaper ad, will promote multiple items. In this case, the cost for the promotion should be divided up amongst all the items being promoted.
- the visibility model Once the visibility model has constructed, it can be incorporated into the demand model, which will then give the change in demand for an item based upon both its price and any promotions that modify this visibility. Having thus described a preferred embodiment of the Method for
- the illustrated embodiments incorporate perceived pricing and visibility into a demand model; however, it should be appreciated that the method described herein may be extended to other psychological effects that may affect consumer demand.
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JP55069098A JP2002513488A (en) | 1997-05-21 | 1998-05-21 | How to incorporate psychological effects into demand models |
EP98922481A EP0983563A1 (en) | 1997-05-21 | 1998-05-21 | A method for incorporating psychological effects into demand models |
CA002289474A CA2289474A1 (en) | 1997-05-21 | 1998-05-21 | A method for incorporating psychological effects into demand models |
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US4982597P | 1997-05-21 | 1997-05-21 | |
US5091797P | 1997-05-21 | 1997-05-21 | |
US60/049,825 | 1997-05-21 | ||
US60/050,917 | 1997-05-21 |
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Also Published As
Publication number | Publication date |
---|---|
EP0983563A1 (en) | 2000-03-08 |
JP2002513488A (en) | 2002-05-08 |
CA2289474A1 (en) | 1998-11-26 |
US6094641A (en) | 2000-07-25 |
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