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DTIC ADA272784: Behavioral Economics of Drug Self-Administration: An Introduction PDF

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AD-A272 784 IWlIllelil ll1f 1 litoi liii '" " " 0d1^ - .*tt f At-a.t .06 o0 000". I IS.. 0 11111111I1N I11 1 INi 11 1111111I1t1, 1 )flKe oClfIO¶ A M 'aW,,a bq.qGeO.t.l.e9 9C1C¢0 &.(cid:127) lA i..dqeI(cid:127) l Dm.'IC~, A.8ucio aD 1O09e ( 911l0o@9 5 14.04l' I$I$)).. e 1t (cid:127)a'aV 'l9fl1lfq lO" D#C00 .-391D i 0 QJo4 Of RT DATE 3. REPORT TYPE AND DATES COVERED 4. TITLE AND SUBTITLE 5. FUNDING NUMBERS Behavioral Econcomics of Drug St(cid:127)-f ackninistrat ion: an Introduct ion 6. AUTHOR(S) Steven R. Hursh, Ph.D. 7. PERFORMING ORGANIZATION NAME(S) AND AOORESS(ES) B. PERFORMING ORGANIZATION REPORT NUMBER Walter Reed Army Institute of Research Washington, DC 20307-5100 9. SPONSORING. MONITORING AGENCY NAME(S) AND AODRESS(ES) 10. SPONSORING, MONITORING U.S. Army Medical Research & Development Ccmmand AGENCY REPORT NUMBER Fort Detrick, Frederick, Maryland 21702-5012._ "-. 11. SUPPLEMENTARY NOTES 12a. DISTRIBUTION /AVAILABILITY STATEMENT 12b. DISTRIBUTION CODE Approved for Public Release: Distribution Unlimited 13. ABSTRACT (Maximum 200 words) Behavioral economics provides a set of concepts for the analysis of factors that control the allocation of behavioral resources among available reinforcers. Terms from micro-economics describe new phenomena previously ignored within the traditional context of behavior analysis. This article reviews these ccncepts as an introduction to the three papers that follow. The primary dependent measure within the behavioral economic framework is the level of consumption of available commodities as determined by the level and distribution of instrumental responding. The demand curve provides a quantitative metric for analyzing consumption under the constraint of unit price. When the reinforcer is a drug, the demand curve can be a useful tool for analyzing the level of motivation to consume the drug, its abuse liability, and for evaluating interventions, such as alternative reinforcers or medications, to reduce the motivation to consume the drug and instrumental responding to obtain it. Behavioral economics also provides a framework for formulating, testing, and refining drug abuse policy through a series of empirical steps that maximize effectiveness and minimize undesirable social consequences. 14. SUBJECT TERMS 15. NUMBER OF PAGES Behavioral economics; drug abuse; drug sel-administration; abu-e liability; drug abuse policy 16. PRICE CODE 17. SECURITY CLASSIFICATION 18. SECURITY CLASSIFICATION 119. SECURITY CLASSIFICATION 20. LIMITATION OF ABSTRACT OF REPORT Of THIS PAGE OF ABSTRACT Drug and Alcohol Dependence, 33 (1993) 165- 172 165 Elsevier Scientific Publishers Ireland Ltd. Behavioral economics of drug self-administration: Woo an introduction Steven R. Hursh* Cn Dii-ision of Neuropsychiatry, Walter Reed Army Institute of Research, Washington. DC 20307-5100 (LSA) (Accepted May 27, 1993) Behavioral economics provides a set of concepts for the analysis of factors that control the allocation of behavioral resources among available reinforcers. Terms from micro-economics describe new phenomena previously ignored within the traditional context of behavior analysis. This article reviews these concepts as an introduction to the three papers that follow. The primary dependent measure within the behavioral economic framework is the level of consumption of available commodities as determin- ed by the level and distribution of instrumental responding. The demand curve provides a quantitative metric for analyzing consumption under the constraint of unit price. When the reinforcer is a drug, the demand curve can be a useful tool for analyz- ing the level of motivation to consume the drug, its abuse liability, and for evaluating interventions, such as alternative rein- forcers or medications, to reduce the motivation to consume the drug and instrumental responding to obtain it. Behavioral economics also provides a framework for formulating' testing, and refining drug abuse policy through a series of enipiric'. steps that maximize effectiveness and minimize undesirable social consequences. Key words: behavioral economics; drug abuse; drug self-administration; abuse liability; drug abuse policy Behavioral economics is a relatively new sub- economics, especially consumer demand theory V discipline of general behavior analysis that and labor supply theory (Rachlin et al., 1976; see concentrates on the factors which control the Watson and Holman, 1977, ,r a review of rele- 1 allocation of behavioral resources among avail- vant micro-economic theory; Lea, 1978; Allison able reinforcers (Hursh, 1980, 1984; Hursh et al., 1979; Staddon, 1979; Allison, 1983); how- and Bauman, 1987). As a practical matter, this ever, these terms often take on a special mean- approach has borrowed terms from micro- ing when applied within behavioral analysis and are not simple replacements for common behav- to, Steven R. Hursh, Director, Division of ioral processes, such as reinforcement, Corresiondence on discriminatin,.differeniationoandDhe like. Neuropsychiatry, Walter Reed Army Institute of Research, discrimination, differentiation, and the like. In- Washington, DC 20307-5100, USA. deed, behavioral economics has generated in- *The views of the author do not purport to reflect the posi- terest because it has directed our attention to tion of the Department of the Army or the Department of new phenomena previously ignored and new Defense (para 4-3, AR 360-5). The research described in this functional relations previously unnamed. In the report was conducted in compliance with the Animal Welfare Act and other Federal statutes and regulations articles that follow, behavioral economics is ap- relating to animals and experiments involving animals and plied to the analysis of consumption of drug rein- adheres to the principles stated in the Guide for the Care and forcers and the responding that produces that Use of Laboratory Animals, NIH publication 86-23, 1985 consumption. In the following pages, I will pro- edition. Reprints may be obtained by writing to Steven R. vide some basic groundwork that will serve as a Hursh, Director, Division of Neuropsychiatry, Walter Reed Army Institute of Research, Washington, D.C. 20307- primer for understanding behavioral economic 5100. concepts as used in those articles. 9 3 1 1 5 0 8 9 0376-8716/93/$06.00 © 1993 Elsevier Scientific Publishers Ireland Ltd. Printed and Published in Ireland 166 Behavioral economic concepts food, that a closed economy be arranged for that reinforcer az well. The behavioral difference be- One of the most important contributions of be- tween open and closed economies is best havioral economics has been to redirect our at- understood in terms of demand for the rein- tention to total daily consumption as a primary forcer, discussed next. dependent measure of behavior. In this context, responding is regarded as a secondary depen- Demand curve analysis dent variable that is important because it is in- The relationship between reinforcer cost and strumental in controlling consumption. reinforcer consumption is termed a 'demand Consideration of consumption as a primary fac- curve'. As the cost of a commodity increases, tor required a major methodological shift. In consumption decreases, illustrated in Fig 1. The most behavioral experiments the practice has rate of decrease in consumption (sensitivity to been to control 'drive' by imposing some price) relative to the initial level of consumption, deprivation schedule. Animals reinforced by is called 'elasticity of demand'. When consump- food are held to 80% of free-feeding weight by tion declines slowly with proportionately large limiting daily consumption and supplementing increases in price, we define that as 'inelastic de- the amount of food earned in the test session mand'. For this to occur, total responding must with just enough food to hold body weight within increase with increasing cost. For example, a restricted range. This strategy was designed when the price of gasoline increased threefold to hold 'drive' constant and eliminate a confoun- during the 1970s from 33 cents a gallon to over ding factor. Inadvertently. the practice also one dollar a gallon, consumption decreased by eliminated one of the major factors controlling only 10%. This was an example of inelastic de- behavior in the natural environment, defense of mand and the result was that a larger share of consumption. Under conditions of controlled household budgets were allocated to gasoline drive, responding is not instrumental in deter- than were before. mining daily consumption. This strategy of con- Not all demand curves are inelastic; consump- trolling deprivation or consumption independent tion of saccharin sweetened water by a monkey of behavioral changes is what I have termed an with an alternative source of water is elastic 'open economy' (Hursh, 1980, 1984). In more re- (Fig 2). In the figure, the price of each commodi- cent experiments, control of deprivation has been eliminated and subjects have been allowed to control their own level of consumption, what I have termed a 'closed economy'. The finding is that radically different sorts of behavioral ad- justments occur in these two types of economies, especially when the reinforcer is a necessary commodity like food or water (see Hursh, 1978, 1984; Hursh and Natelson, 1981; U) / Lucas, 1981; Collier, 1983; Collier et al., 1986; Hursh et al., 1988; Raslear et al., 1988; Hursh et (cid:127) ELASTICITY al., 1989; Bauman, 1991). Fortunately, for those INCREASE - interested in drugs as reinforcers, most experi- ments involving drug self-administration have arranged a closed economy for the drug rein- forcer; all drug administrations are response- dependent (Johanson, 1978). It is important, Log Price however, when comparing this behavior to be- Fig. 1. Demand curve showing the usual shape and an havior reinforced by another reinforcer, such as increase in sensitivity to price termed an elasticity increase. 167 DEMAND RESPONSE OUTPUT 1000 10,0000 S100 <, 10,000 Wr A LUU CL w CoC2 - 0 ILi 1000 z L0U A FOOD A SACCHARIN II 1 0i i 10 100 1000 10 100 1000 FIXED RATIO FIXED RATIO Fig. 2. Left panel: two demand curves by a rhesus monkey working for either food (squares) or saccharin sweetened water (triangles). The functions show the total number of reinforcers earned each day under a series of fixed-ratio (FR) schedules that ranged from FR 10-372. Right panel: daily output of responding that accompanied the levels of consumption shown in the left panel. ty (food or saccharin) was gradually increased increasing the elasticity of demand for PCP, in- from ten responses per reinforcer to over 372 creasing the slope of the demand curve and responses per reinforcer in a closed economy. decreasing the price at which responding reach- Consumption declined slowly for food but de- ed its peak. In general, demand curves for drug clined steeply for saccharin. As a corollary, total reinforcers conform to the same non-linear, responding for food increased over a broad decreasing function typified by those in Fig 2 range while responding for saccharin generally and responding is an inverted U-shaped function decreased over the same range. The distinction of price (see below for details; also see review by between elastic and inelastic reinforcers defines Bickel et al., 1990). As discussed by Bickel et al., a continuum. Consumption of all reinforcers in their article, elasticity of demand may be a becomes elastic if the price is elevated sufficient- useful basic metric for comparing different drug ly; the difference between reinforcers can be reinforcers for abuse liability and for assessing specified in terms of the point of transition be- the potency of interventions to reduce demand tween inelastic and elastic demand (Pmax) and for drugs as reinforcers. coincides with the peak of the response rate functions shown in the right panel of Fig. 2. If Elasticity of demand that transition occurs at relatively low prices, Elasticity of demand is not an inherent pro- then demand for that reinforcer is generally perty of the reinforcer. For example, one of the more elastic than demand for a reinforcer that primary differences between open and closed sustains response increases over a broad range economies is elasticity of demand. While de- of prices. In the article that follows by Marilyn mand for food is inelastic in a closed economy Carroll, this approach was used to demonstrate (see Fig 2) where the subject controls its own in- that the addition of a saccharin reinforcer con- take and no supplemental food is provided, de- current with a PCP reinforcer had the effect of mand for food in an open economy can be quite 168 DEMAND FOR FOOD IN 12 HOUR SESSION RESPONDING IN 12 HOUR SESSION V) 1000-100000- I-- J _0J0 0 o_. o o..,,,. _ 0W 0 LL. 0VU, LA_ Z 000 z o 1(cid:127) 00 1OO 00 Q- 0~0 : . BASELINE 0 z HR-FR I -o 0 10 100 1000 10 Pmax 100 1000 PRICE (FR SCHEDULE) PRICE (FR SCHEDULE) Fig. 3. Left panel: two demand curves by a rhesus monkey for food during a 12 h work period, either with no other source of food (0) or with a 1-h period of FR I food reinforcement immediately following the work period. (0) Consumption is shown as a function of the FR schedule that ranged from FR 10- 372. Right panel: the total number of responses emitted per day that produced the levels of food consumption during the work period shown in the left panel. elastic. To illustrate this point, we provided a for the drug of abuse. Behavioral economics pro- monkey access to low cost food requiring only vides an approach to evaluation of the behav- one response per pellet (fixed ratio 1 or FR 1) for ioral efficacy of this sort of drug therapy. In a 20 min after a 12 h work period for food at manner parallel to that shown in Fig. 3 and higher prices. The price of food in the work discussed in the previous paragraph, the subject period was increased to assess demand (Fig 3). would be required to work for the target drug The subject could work for food in the work during 'work periods'; varying amounts of the period at the prevailing price or wait and obtain therapy drug would be given at other times, food at a lower price later, analogous to obtain- either independently or as a consequence of an ing low cost food in the home cage within an operant response, during a 'medication period'. open economy. Compared to demand for food The efficacy of different therapies would be when no low cost food was available, demand measured in terms of their effects on the when an alternative source was available was elasticity of demand for the target drug much more elastic and responding reached a measured during the work periods. As Bickel et peak at a much lower price, indicated as Pmax. al. describe below, quantitative tools are avail- Comparing Fig. 3 with Fig. 2, one can conclude able for specifying these changes in terms of the that the addition of a substitute food source parameters of a demand equation (Hursh et al., functioned to convert food in the work period 1988; Hursh et al., 1989; Hursh, 1991). into an elastic commodity, very similar to the non-nutritive saccharin solution shown in Fig. 2 Measuring elasticity of demand and discussed above. In general, elastic demand In order to use elasticity of demand as a basic is typical for all reinforcers studied in an open yardstick for evaluating 'motivation' for drug economy. reinforcers, we must precisely specify the condi- In the context of drug abuse therapy, an alter- tions for measuring demand. This includes clear native drug reinforcer such as methadone may definitions of the two primary variables, con- be used as a medical intervention designed to sumption and price. I have proposed that con- reduce demand or increase elasticity of demand sumption be measured in terms of total daily 169 intake, which, for drug reinforcers, becomes decrease response strength, but, generally, fre- weight of drug per day adjusted for the weight quency is more powerful than amount in con- of the subject (mg/kg/day). Many prior studies trolling choice between two alternatives have measured consumption as 'injections per (Schneider, 1973; Todorov, 1973; see Davison hour' or some other measure of reinforcement and McCarthy, 1988, for review). rate. This measure obscures the assessment of consumption because total drug intake is the Reinforcer interactions product of 'number of reinforcers (infusions)' and 'dose (mg/kg/infusion)'. The behavioral Behavioral economics specifies a range of in- economic focus is on total consumption as a con- teractions that may occur among different rein- trolling factor and requires an appropriate mea- forcers available to the subject. For sure of consumption that considers dose as a convenience, we label these interactions as 'sub- constituent factor. stitution', 'complementarity', and 'independ- I have also proposed that price be specified as ence'. Substitution and complementarity are ili- the ratio of response cost to reinforcer gain, lustrated in Fig 4. In each case, the term refers termed 'unit price' (Hursh, 1984; Hursh et al., to the functional relationship between consump- 1988; Bickel et al., 1990; Bickel et al., 1991). The tion of one reinforcer (commodity) and the price most important implication of unit price for the of another. If consumption of one reinforcer understanding of drug reinforcement is that it (commodity B, Fig. 4) increases with increases specifies that consumption is similarly controll- in price of another (commodity A), then com- ed by increases in cost and decreases in dose. In modity B is said to be a substitute for commodity other words, responses per reinforcer and dose A. For example, consumption of sugar pellets by per reinforcer can both be thought of as cost fac- a rat will increase as we increase the price of rat tors and have a monotonic relationship to con- chow; consumption of rat chow is driven down sumption. A stricter interpretation of unit price by its price and consumption of sucrose in- is implied by the analysis by Bickel et al., and tested by Nader et al., below. In those articles, the constituents of unit price, response cost and 1o000 dose, are assumed to have scaler equivalence as m well. In other words, a doubling of response cost (cid:127) o ° is precisely equal to a halving of dose. Both (cid:127)- Bickel et al., for the low dose case, and Nader et (cid:127) -, al., in their experiment with cocaine indicate (cid:127) -, 0 that scalar equivalence may not be true in all o cases. Nevertheless, both articles support the 100 "A weaker notion of unit price, that increasing re- 0 sponse cost and decreasing dose both function P COMMODITY B similarly to decrease consumption. As we ex- 2 a COMPLEMENT tend research in this area we will define the do- (D * SUBSTITUTE z main of scalar equivalence of these two factors o and, perhaps, define rescaling factors that are required for specific drugs or situations. The 10o problem that confronts us with unit price is not 10 100 so different from that encountered when at- UNIT PRICE - COMMODITY A tempting to specify the combined effects of rein- Fig. 4. Diagram of two forms of reinforcer interactions. forcer delay and reinforcer frequency on the complementarity (triangles) and substitution (squares), that strength of responding. Decreasing reinforcer describe changes in consumption of commodity B that may frequency and amount function similarly to result from changes in the price of commodity A. 170 creases to serve as a substitute. If consumption shown to reduce demand for food and this reduc- of a reinforcer decreases with increases in the tion in demand was greatest when food rein- price of another, then the first is said to comple- forcement was maintained within an 'open ment the other. For example, consumption of economy' which would be expected to generate water will decrease as the price of dry food chow greater elasticity of demand for food (see Fig. is increased; with declining food consumption 3). less water is consumed as a complement. In cer- tain cases, the price of one reinforcer will have Behavioral economics and the problem of no consistent effect on the consumption of drug abuse another; in this case, the two are considered in- dependent. The study described by Carroll il- Behavioral economic approaches to the prob- lustrates how saccharin serves as a functional lem of drug abuse can make contributions in substitute for PCP consumption and also serves several important domains. First, as pointed out to increase elasticity of demand for PCP in com- by Bickel et al., the inalysis of demand curves parison to demand for PCP alone. While not for drug reinforcers can serve as a convenient totally eliminating PCP self-administration, this metric for comparing the 'motivation' to pro- study provides a model for how to evaluate any cure and consume the drug. Quantitative competing reinforcer as a 'therapy' for drug methods are available which could provide a use. standardized system for evaluating new phar- The evidence from studies with food indicates maceuticals for abuse liability (Hursh et al., that demand for a commodity is most sensitive 1988; Hursh et al., 1989; Hursh, 1991). to modification by a substitute at relatively high Secondly, behavioral economic methods may prices (Hursh et al., 1989). This is confirmed by be used to explore the interaction between the results shown by Carroll with PCP and sac- drugs as reinforcers, especially between illicit charin. The largest differences in consumption drugs and those proposed as therapies. I would and responding occurred at unit prices in excess suggest that an acceptable therapy drug must of 160. This suggests that demand-side interven- have three essential characteristics. First, the tions need to be combined with supply-side therapy must be behaviorally efficacious in restrictions that insure that the market price re- substantially reducing demand for the illicit mains relatively high. These kinds of laboratory drug. Behavioral efficacy could be evaluated as findings have direct implications for a balanced described above in terms of the effects of the national drug abuse policy, therapy drug administered during medication periods on the elasticity of demand for the illicit Behavioral economics of acquisition and ex- drug during work periods. Second, the therapy tinction of responding drug must be behaviorally safe. The behavioral economic evaluation will indicate the dose and The studies by Carroll break new ground in schedule of medication necessary to reduce drug the area of behavioral economics. Most prior demand. Behavioral economic and performance studies have concentrated on the modulation of assessment methods can then be used to evalu- stable levels of previously established perfor- ate the behavioral effects of that therapy dose mances. In this study, Carroll extends the analy- on cognitive and physical performance, as well sis to economic factors that may moderate the as on general motivation for other activities. An acquisition and extinction of performances, in acceptable therapy should have minimal effects these studies maintained by drug reinforcement, on performance and general motivation. Third, It is evident that the availability of a concurrent to insure compliance with the medication substitute interferes with the rate of acquisition regimen, the therapy drug must be shown to be of cocaine self-administration. In addition, non-aversive or even mildly reinforcing. While withdrawal from PCP self-administration was many techniques are available for evaluating the 171 aversive properties of a stimulus, an economical An artificial environment can be established method would evaluate the properties of the using tokens to compensate for work and to medication within the context of efficacy test- serve as money to purchase alternative com- ing. As described above, the medication would modities including the illicit drug. Any policy be given during designated 'medication periods'; can then be modeled in terms of the simulated rather than dispensing the medication wage rates and consumption prices. The pro- automatically, the drug could be offered to the bable outcomes of the policy can be tested in subject according to a response-dependent sche- terms of its effects on illicit drug consumption, dule. If the beneficial properties of the drug sup- work to obtain the illicit drug, sensitivity to port self-administration of the medication therapy interventions, and sensitivity to supply- during medication periods, then we can be rea- side restrictions. sonably assured that the medication is not aver- The experimental results can then be com- sive and that compliance with a clinical bined with knowledge about the actual demand medication schedule would occur. Therefore, by elasticities of the illicit market place to more applying behavioral techniques, a program of precisely define the policy parameters. This testing would insure that three evaluation cri- refined policy proposal can then be tested in teria are satisfied and that the proposed medica- model projects to insure that unanticipated in"n would be effective, safe, and practical. dynamics of the market do not overwhelm the Fiially, the behavioral economic model offers expected effects of the policy. Based on further a framevork for formulating a systematic, em- refinements from model projects, a rational na- pirically bmed national policy for the control of tional policy can be formulated that has minimal drug abuse. This approach has been explained in risk, maximal chances of success, and long-term Hursh (1991) and is summarized in Fig 5. Labo- benefit to society. ratory data are needed on any proposed medica- tion or policy (cid:127)strategy. It is possible with References behavioral ec.onomic methods to model with human su)ects or non-human primates, the es- Allison, J., Miller, M. and Wozny, M. (1979) Conservation in sential6concmic features of the proposed policy, behavior J. Exp. Psychol: General, 108, 4-34. Allison, J. (1983) Behavioral Economics. Praeger, New York. Bauman, R.A. (1991) The experimental analysis of the cost of food in a closed economy. J. Exp. Anal. Behav. 56, Policy Implementation and Evaluation 33-50. Bickel, W.K., DeGrandpre, R.J., Higgins, S.T. and Hughes, J.R. (1990) Behavioral economics of drug self- Feedback Public Policy Formulation administration. 1. Functional equivalence of response re- quirement and drug dose. Life Sci. 47, 1501 - 1510. Bickel, W.K., DeGrandpre, R.J., Higgins, S.T. and Hughes, Experimental Model Projects J.R. (1991) Behavioral economics of drug self- administration. I1. A unit-price analysis of cigarette smoking. J. Exp. Anal. Behav. 55, 145-154. Collier, G.H. (1983) Life in a closed economy: the ecology of Econometric Analysis learning and motivation. In: Advances in analysis of be- of Market Behavior havior: vol. 3. Biological factors in learning, (Zeiler, M.D. and Harzem, P. eds.), pp. 223-274. Wiley, Chichcster, Laboratory Laboratory Clinical England. Non-Human Human Research Collier, G.H., Johnson, D.F., Hill, W.L. and Kaufman, L.W. (1986) The economics of the law of effect. J. Exp. Anal. Behav. 46, 113- 136. Fig. 5. Diagram of the systematic application of behavioral Davison, M. and McCarthy, D. (1988) The matching law: a economic methods for the formulation and refinement of research review. Lawrence Erlbaum Associates, Inc., drug abuse policy. Publishers, New Jersey. 172 Hursh, S.R. (1978) The economics of daily consumption con- Lea, S.E.G. (1978) The psychology and economics of de- trolling food- and water-reinforced responding. J. Exp. mand. Psychol. Bull. 85. 441 - 466. Anal. Behav. 29, 475-491. Lea, S.E.G. and Roper, T.J. (1977) Demand for food on Hursh, S.R. (1980) Economic concepts for the analysis of be- fixed-ratio schedules as a function of the quality of concur- havior. J. Exp. Anal. Behav. 34, 219-238. rently available reinforcement. J. Exp. Anal. Behav. 27. Hursh, S.R. (1964) Behavioral economics. J. Exp. Anal. 371-380. Behav. 42, 435- 452. Lucas, G.A. (1981) Some effects of reinforcer availability on Hursh, S.R. and Bauman, R.A. (1987) The behavioral analy- the pigeon's res, ,ding in 24-h sessions. Anim. Learn. sis of demand. In: Advances in behavioral economics, Behav. 9. 411- 424. (Green, L. and Kagel, J.H.. eds.), Vol 1, pp. 117- 165. Rachlin, H., Green, L., Kagel, J.H. and Battalio, R.('. (1976) Ablex Publishing Corporation, Norwood, N.J. Economic demand theory and psychological studies of Hursh, S.R. and Natelson, B.H. (1981) Electrical brain stim- choice. In: The psychology of learning and motivation. ulation and food reinforcement dissociated by demand (Bower, G., ed.), Vol. 10, pp. 129- 154. Academic Press, elasticity. Physiol. Behav. 26, 509-515. New York. Hursh, S.R., Raslear, T.G., Bauman, R. and Black. H. (1989) Raslear, T.G., Bauman, R.A., Hursh, S.R., Shurtleff. D. and The quantitative analysis of economic behavior with labo- Simmons, L. (1988) Rapid demand curves for behavioral ratory animals. In: Understanding economic behaviour, economics. Anim. Learn. Behav. 16, 330-339. (Theory and Decision Library, Series A, vol. I), (Grunert, Schneider, J.W. (1973) Reinforcer effectiveness as a func- K.G. and Olander, F., eds.), pp. 393-407. Kluwer tion of reinforcer rate and magnitude. J. Exp. Anal. Academic Press, Boston. Behav. 20, 461-471. Hursh, S.R., Raslear, T.G., Shurtleff, D., Bauman, R. and Staddon, J.E.R. (1979) Operant behavior as adaptation to Simmons, L. (1988) A cost-benefit analysis of demand for constraint. J. Exp. Psychol.: General, 108, 48-67. food. J. Exp. Anal. Behav. 50, 419-440. Todorov, J.C. (1973) Interaction of frequenc' and Johanson, C.E. (1978) Drugs as reinforcers. In: Contempor- magnitude of reinforcement on concurrent perfor'nances. ary Research in Behavioral Pharmacology, (Blackman, J. Exp. Anal. Behav. 19, 451 -458. D.E. and Sanger, D.J., eds.), pp. 325- 390. Plenum Press, Watson, D.S. and Holman, M.A. (1977) Price theory and its New York. uses (4th ed.). Houghton Mifflin, Boston. Accesion For NTIS CRA&I DTIC TAB L Unannounced r" Justification . . . . . By ................................... Distribution I Awv il.JbCK'/. , C»(cid:127).u yDist

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