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Consider a vertically related industry consisting of one upstream and two downstream firms, the latter having different marginal costs. Each pair bargains over a linear wholesale price, and then the downstream firms engage in Cournot competition. We show that the inefficient downstream firm may benefit from an increase in the bargaining power of the upstream firm. Furthermore, we obtain similar results when each downstream firm trades with its exclusive upstream agent, under non-linear demand function, or when downstream firms compete in price.",{"EN":112},"Bargaining power and firm profits in asymmetric duopoly: an inverted-U relationship",{"VOID":114},"[\"283882861721362797\"]",{"VOID":116},"10.1007\u002Fs00712-017-0563-3","PUBLICATION","VERIFIED","2024-04-23T22:08:32.706+00:00","Auto Verify","http:\u002F\u002Flink.springer.com\u002F10.1007\u002Fs00712-017-0563-3",[123],{"id":124,"sortIndex":23,"researcher":22,"roles":125,"affiliations":127,"properties":136},"f6980fee-b206-4e05-ae7c-a50e4c476b9f",[126],"AUTHOR",[128],{"id":129,"sortIndex":23,"affiliation":130,"properties":22},"30a27821-a2f5-4b0f-981c-0b785b9b2d7b",{"id":129,"createTime":22,"updateTime":22,"relativeEntities":131,"slug":22,"properties":132,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":22,"parentIds":135,"statistic":22},[],{"title":133},{"VI":134},"Institute of Social and Economic Research, Osaka University, Ibaraki, Japan",[],{"title":137,"gsAuthor":139},{"VI":138},"Shohei Yoshida",{"VOID":140},"[\"i1vgp_sAAAAJ\"]","ARTICLE",{"url":121,"publisher":143,"properties":189},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":144,"slug":10,"properties":145,"entityType":20,"verifyStatus":21,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":23,"subjectFields":149,"manageAffiliations":158,"indexDatabases":169,"url":22,"thumbnailPath":22,"statistic":184,"gsStatistic":22,"type":97,"analyzePriority":22},[],{"issn":146,"title":147,"eissn":148},{"VOID":15},{"EN":17},{"VOID":13},[150,154],{"id":26,"createTime":22,"updateTime":22,"relativeEntities":151,"label":152,"description":153,"parentId":22,"standard":22,"scholarHubFieldId":22},[],{"EN":29},{},{"id":32,"createTime":22,"updateTime":22,"relativeEntities":155,"label":156,"description":157,"parentId":22,"standard":22,"scholarHubFieldId":22},[],{"EN":35},{},[159,164],{"id":39,"createTime":22,"updateTime":22,"relativeEntities":160,"slug":22,"properties":161,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":22,"parentIds":163,"statistic":22},[],{"title":162},{"EN":43},[45],{"id":47,"createTime":22,"updateTime":22,"relativeEntities":165,"slug":22,"properties":166,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":22,"parentIds":168,"statistic":22},[],{"title":167},{"EN":51},[45],[170,177],{"id":55,"indexDatabase":171,"url":22,"indexYears":22,"academicFieldIds":176,"indexDatabaseRanking":22},{"id":57,"createTime":22,"updateTime":22,"relativeEntities":172,"label":173,"description":174,"key":64,"publicationTags":175,"standard":22},[],{"EN":60,"VI":60},{"EN":62,"VI":63},[66,67],[69],{"id":71,"indexDatabase":178,"url":82,"indexYears":83,"academicFieldIds":183,"indexDatabaseRanking":87},{"id":73,"createTime":22,"updateTime":22,"relativeEntities":179,"label":180,"description":181,"key":79,"publicationTags":182,"standard":22},[],{"EN":76,"VI":76},{"EN":76,"VI":78},[81],[85,86],{"impactFactor":23,"impactFactorByYear":185,"i10Index":23,"i10IndexLast5Year":23,"totalPublication":90,"totalPublicationByYear":186,"totalCitation":23,"totalCitationByYear":187,"totalCitationPerPublication":23,"totalCitationPerPublicationByYear":188,"hindexLast5Year":23,"hindex":23},{},{"1930":92,"1932":93,"1933":92,"1936":92,"1937":92,"1939":92,"1958":93,"1961":92,"1962":92,"1963":92,"1967":93,"1975":92,"1976":94,"1978":92,"1980":93,"2005":92},{},{},{"pages":190,"volume":192},{"VOID":191},"139-158",{"VOID":193},"124",{"total":23,"publishYear":195,"statisticByYear":196},2017,{},"2017-08-31","ERROR_IN_ANALYZE_CITATION","2026-08-19T19:20:56.260+00:00",[66,87],[202,208,211,217,220,223,226,229,232,235,238,241,244,247,250,256,259,262,265,268,271,274,280,283,286,289,292,295,298,301,304,307,310,316,319,322,325,328,331,334,337,340,343,346,352,355,358],{"id":203,"text":204,"url":205,"identifiers":206},"96fbab99-197e-4cdf-b4eb-a3c9b3fc00ab","Aghadadashli H, Dertwinkel-Kalt M, Wey C (2016) The Nash bargaining solution in vertical relations with linear input prices. Econ Lett 145:291–294","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002FS0165176516302488",{"doi":207},"10.1016\u002Fj.econlet.2016.07.008",{"id":22,"text":209,"url":22,"identifiers":210},"Basak D, Marjit S, Mukherjee A (2016) Upstream market power and downstream profits under convex costs, mimeo",{},{"id":212,"text":213,"url":214,"identifiers":215},"4c68646b-0035-4279-8000-0006b275d4fa","Binmore K, Rubinstein A, Wolinsky A (1986) The Nash bargaining solution in economic modelling. RAND J Econ 17(2):176–188","https:\u002F\u002Flink.springer.com\u002F10.1007\u002Fs10440-022-00541-7",{"doi":216},"10.1007\u002Fs10440-022-00541-7",{"id":212,"text":218,"url":214,"identifiers":219},"Bonnet C, Dubois P (2010) Inference on vertical contracts between manufacturers and retailers allowing for nonlinear pricing and resale price maintenance. RAND J Econ 41(1):139–164",{"doi":216},{"id":212,"text":221,"url":214,"identifiers":222},"Cai D, Li J (2014) Protection versus free trade: lobbying competition between domestic and foreign firms. South Econ J 81(2):489–505",{"doi":216},{"id":212,"text":224,"url":214,"identifiers":225},"Chen Z (2003) Dominant retailers and the countervailing-power hypothesis. RAND J Econ 34(4):612–625",{"doi":216},{"id":212,"text":227,"url":214,"identifiers":228},"Christou C, Papadopoulos K (2015) The countervailing power hypothesis in the dominant firm-competitive fringe model. Econ Lett 126:110–113",{"doi":216},{"id":212,"text":230,"url":214,"identifiers":231},"Crawford G, Yurukoglu A (2012) The welfare effects of bundling in multichannel television markets. Am Econ Rev 102(2):643–685",{"doi":216},{"id":212,"text":233,"url":214,"identifiers":234},"DeGraba P (1990) Input market price discrimination and the choice of technology. Am Econ Rev 80(5):1246–1253",{"doi":216},{"id":212,"text":236,"url":214,"identifiers":237},"Dertwinkel-Kalt M, Haucap J, Wey C (2015) Raising rivals’ cost through buyer power. Econ Lett 126:181–184",{"doi":216},{"id":212,"text":239,"url":214,"identifiers":240},"Dowrick S (1989) Union-oligopoly bargaining. Econ J 99(398):1123–1142",{"doi":216},{"id":212,"text":242,"url":214,"identifiers":243},"Draganska M, Klapper D, Villas-Boas S (2010) A larger slice or a larger pie? An empirical investigation of bargaining power in the distribution channel. Mark Sci 29(1):57–74",{"doi":216},{"id":212,"text":245,"url":214,"identifiers":246},"Fanti L (2016) Interlocking cross-ownership in a unionised duopoly: when social welfare benefits from “more collusion”. J Econ 119(1):47–63",{"doi":216},{"id":212,"text":248,"url":214,"identifiers":249},"Farmakis-Gamboni S, Prentice D (2011) When does reducing union bargaining power increase productivity? Evidence from the Workplace Relations Act. Econ Rec 87(279):603–616",{"doi":216},{"id":251,"text":252,"url":253,"identifiers":254},"7205c227-ca3b-4328-a958-0f95d2ea7363","Freeman R, Medoff J (1984) What do unions do?. Basic Books, New York","http:\u002F\u002Flink.springer.com\u002F10.1007\u002Fs12122-003-1010-5",{"doi":255},"10.1007\u002Fs12122-003-1010-5",{"id":212,"text":257,"url":214,"identifiers":258},"Gaudin G (2016) Pass-through, vertical contracts, and bargains. Econ Lett 139:1–4",{"doi":216},{"id":212,"text":260,"url":214,"identifiers":261},"Gaudin G (2017) Vertical bargaining and retail competition: What drives countervailing power? Econ J (forthcoming)",{"doi":216},{"id":212,"text":263,"url":214,"identifiers":264},"Grennan M (2013) Price discrimination and bargaining: empirical evidence from medical devices. Am Econ Rev 103(1):145–177",{"doi":216},{"id":212,"text":266,"url":214,"identifiers":267},"Grout PA (1984) Investment and wages in the absence of binding contracts: A Nash bargaining approach. Econometrica 52(2):449–460",{"doi":216},{"id":212,"text":269,"url":214,"identifiers":270},"Han TD, Mukherjee A (2017) Labor unionization structure, innovation, and welfare. J Inst Theor Econ 173(2):279–300",{"doi":216},{"id":212,"text":272,"url":214,"identifiers":273},"Haucap J, Wey C (2004) Unionisation structures and innovation incentives. Econ J 114(494):149–165",{"doi":216},{"id":275,"text":276,"url":277,"identifiers":278},"f2958e6c-a690-4d8d-8f93-78871a838b91","Hirsch B (2004) What do unions do for economic performance? J Labor Res 25:415–455","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs12122-004-1023-8",{"doi":279},"10.1007\u002Fs12122-004-1023-8",{"id":22,"text":281,"url":22,"identifiers":282},"Ho K, Lee R (2015) Insurer competition in health care markets (No. w19401). National Bureau of Economic Research",{},{"id":212,"text":284,"url":214,"identifiers":285},"Horn H, Wolinsky A (1988a) Bilateral monopolies and incentives for merger. RAND J Econ 19(3):408–419",{"doi":216},{"id":212,"text":287,"url":214,"identifiers":288},"Horn H, Wolinsky A (1988b) Worker substitutability and patterns of unionisation. Econ J 98(391):484–497",{"doi":216},{"id":212,"text":290,"url":214,"identifiers":291},"Iozzi A, Valletti T (2014) Vertical bargaining and countervailing power. Am Econ J Microecon 6(3):106–135",{"doi":216},{"id":212,"text":293,"url":214,"identifiers":294},"Iyer G, Villas-Boas JM (2003) A bargaining theory of distribution channels. J Mark Res 40(1):80–100",{"doi":216},{"id":212,"text":296,"url":214,"identifiers":297},"Koskela E, Schob R (1999) Does the composition of wage and payroll taxes matter under Nash bargaining? Econ Lett 64(3):343–349",{"doi":216},{"id":212,"text":299,"url":214,"identifiers":300},"Lerner J, Tirole J (2015) Standard-essential patents. J Polit Econ 123(3):547–586",{"doi":216},{"id":212,"text":302,"url":214,"identifiers":303},"Li Y, Shuai J (2016) Licensing essential patents: the non-discriminatory commitment and hold-up, working paper",{"doi":216},{"id":212,"text":305,"url":214,"identifiers":306},"Lopez MC, Naylor RA (2004) The Cournot–Bertrand profit differential: a reversal result in a differentiated duopoly with wage bargaining. Eur Econ Rev 48(3):681–696",{"doi":216},{"id":22,"text":308,"url":22,"identifiers":309},"Machin SJ (1991) Unions and the capture of economic rents: an investigation using British firm-level data. Int J Ind Org 9:261–274",{},{"id":311,"text":312,"url":313,"identifiers":314},"9e867d44-0bb4-4dc4-b9ba-0e8f49560a28","Matsumura T, Yamagishi A (2017) Lobbying for regulation reform by industry leaders. J Regul Econ (forthcoming)","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs11149-017-9334-x",{"doi":315},"10.1007\u002Fs11149-017-9334-x",{"id":22,"text":317,"url":22,"identifiers":318},"Matsushima N (2015) Do poor procurement conditions always lead to poor performances? The interplay between procurement conditions and product positions. mimeo",{},{"id":212,"text":320,"url":214,"identifiers":321},"Matsushima N, Yoshida S (2016) The countervailing power hypothesis when dominant retailers function as sales promoters. ISER Discussion Paper No. 981, Institute of Social and Economic Research, Osaka University",{"doi":216},{"id":212,"text":323,"url":214,"identifiers":324},"Milliou C, Petrakis E (2007) Upstream horizontal mergers, vertical contracts, and bargaining. Int J Ind Org 25(5):963–87",{"doi":216},{"id":212,"text":326,"url":214,"identifiers":327},"Mukherjee A (2008) Unionised labour market and strategic production decision of a multinational. Econ J 118(532):1621–1639",{"doi":216},{"id":212,"text":329,"url":214,"identifiers":330},"Mukherjee A, Wang LF (2013) Labour union, entry and consumer welfare. Econ Lett 120(3):603–605",{"doi":216},{"id":212,"text":332,"url":214,"identifiers":333},"Rubinstein A (1982) Perfect equilibrium in a bargaining model. Econometrica 50(1):97–109",{"doi":216},{"id":212,"text":335,"url":214,"identifiers":336},"Seade J (1985) Profitable cost increases and the shifting of taxation: equilibrium response of markets in oligopoly (No. 260). University of Warwick, Department of Economics",{"doi":216},{"id":212,"text":338,"url":214,"identifiers":339},"Singh N, Vives X (1984) Price and quantity competition in a differentiated duopoly. RAND J Econ 15:546–554",{"doi":216},{"id":212,"text":341,"url":214,"identifiers":342},"Symeonidis G (2010) Downstream merger and welfare in a bilateral oligopoly. Int J Ind Organ 28(3):230–243",{"doi":216},{"id":22,"text":344,"url":22,"identifiers":345},"Van der Ploeg F (1987) Trade unions, investment, and employment: a non-cooperative approach. Eur Econ Rev 31(7):1465–1492",{},{"id":347,"text":348,"url":349,"identifiers":350},"c8f73b33-5180-44ab-a54a-f91d70d370e5","Vetter H (2017) Pricing and market conduct in a vertical relationship. J Econ 121:239–253","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs00712-017-0529-5",{"doi":351},"10.1007\u002Fs00712-017-0529-5",{"id":212,"text":353,"url":214,"identifiers":354},"Villas-Boas S (2007) Vertical contracts between manufacturers and retailers: inference with limited data. Rev Econ Stud 74:625–652",{"doi":216},{"id":22,"text":356,"url":22,"identifiers":357},"Zanchettin P (2006) Differentiated duopoly with asymmetric costs. J Econ Manag Strategy 15(4):999–1015",{},{"id":212,"text":359,"url":214,"identifiers":360},"Ziss S (1995) Vertical separation and horizontal mergers. J Ind Econ 43(1):63–75",{"doi":216},false,{"id":363,"createTime":364,"updateTime":365,"relativeEntities":366,"slug":367,"properties":368,"entityType":117,"verifyStatus":118,"verifyTime":379,"verifyNote":120,"languages":22,"translateLanguages":22,"viewCount":23,"primaryUrl":380,"fullTextUrl":22,"authors":381,"publicationType":141,"publisherRelationship":438,"citationCount":22,"citationInfo":22,"publishDate":490,"publishYear":491,"citationAnalyzeStatus":198,"lastCitationAnalyze":492,"indexDatabases":493,"openAccess":22,"references":22,"isForceReanalyzing":361},"65ada0a7-824b-4380-80eb-8d56cf4c9102","2024-01-21T01:53:26.842+00:00","2026-08-18T10:52:53.738+00:00",[],"Spatial-competition-and-social-welfare-considering-different-feasible-location-regions",{"abstract":369,"title":371,"gsPaper":373,"references":375,"doi":377},{"EN":370},"This research examines the location-price game of two firms, where consumers with quadratic transportation costs are dispersed along the linear city [0, 1], while firms can select their business sites on a continuous but arbitrarily constrained interval [m, n] or on a discontinuous interval separated by a continuous zoning area, in which business activities are prohibited. We find that at least one subgame perfect equilibrium in pure strategies exists. Multiple equilibria may emerge when the continuous location region is far from consumers with the remote firm earning a zero profit. When the continuous region is relatively small and not too far from consumers, two firms choose to locate separately at the endpoints of the interval. When considering the discontinuous location region, the highest social surplus can be achieved when both firms are located on one side of the zoning area.",{"EN":372},"Spatial competition and social welfare considering different feasible location regions",{"VOID":374},"[\"4804266947348538024\"]",{"VOID":376},"Andaluz J (2011) Validity of the “principle of maximum product differentiation” in a unionized mixed-duopoly. J Econ 102:123–136\nAnderson SP, Goeree JK, Ramer R (1997) Location, location, location. J Econ Theory 77:102–127\nBárcena-Ruiz JC, Bárcena-Ruiz JC, Casado-Izaga FJ et al (2018) Optimal size of a residential area within a municipality. J Econ 124:75–92\nBárcena-Ruiz JC, Casado-Izaga FJ (2020a) Zoning regulations and firms' corporate social responsibility. Spatial Economics Volume I. Palgrave Macmillan, Cham, pp 197–220\nBárcena-Ruiz JC, Casado-Izaga FJ (2020b) Partial ownership of local firms and zoning of neighboring towns. Ann Reg Sci 65:27–43\nBaye I, Hasnas I (2017) Consumer flexibility, data quality and location choice. J Econ 120:135–169\nCaplin A, Nalebuff B (1991) Aggregation and imperfect competition: on the existence of equilibrium. Econometrica 59:25–59\nChen C, Lai F (2008) Location choice and optimal zoning under cournot competition. Reg Sci Urban Econ 38:119–126\nColombo S (2011) On optimal zoning in a linear town with cournot competitors. Lett Spat Resour Sci 5:113–118\nCremer H, Thisse J (1991) Location models of horizontal differentiation: a special case of vertical differentiation models. J Ind Econ 39:383–390\nD'Aspremont C, Gabszewicz JJ, Thisse J (1979) On hotelling's “stability in competition”. Econ J Econ Society, pp1145–1150\nEbina T, Matsushima N, Shimizu D (2015) Product differentiation and entry timing in a continuous time spatial competition model. Eur J Oper Res 247:904–913\nEsteban L, Hernandez JM (2012) Specialized advertising media and product market competition. J Econ 106:45–74\nGabszewicz JJ, Thisse JF (1986) On the nature of competition with differentiated products. Econ J 96:160–172\nGiat Y (2019) A location model for boycotting with an application to kosher certification. Eur J Oper Res 273:1109–1118\nHamoudi H, Moral MJ (2017) Green zoning regulation under price discrimination. Proc Rijeka Fac Econ J Econ Bus 35:151–171\nHamoudi H, Risueño M (2012) The effects of zoning in spatial competition. J Reg Sci 52:361–374\nHotelling H (1929) Stability in Competition. Econ J 39:41–57\nLai F, Tsai J (2004) Duopoly locations and optimal zoning in a small open city. J Urban Econ 55:614–626\nLambertini L (1994) Equilibrium locations in the unconstrained hotelling game. Econ Notes Monte Paschi Siena 23:438–446\nLambertini L (1997) Unicity of the equilibrium in the unconstrained hotelling model. Reg Sci Urban Econ 27:785–798\nLi Y, Shuai J (2017) Vertical separation with location price competition. J Econ 121:255–266\nMeagher KJ, Zauner KG (2005) Location-then-price competition with uncertain consumer tastes. Econ Theor 25:799–818\nMehra A, Sajeesh S, Voleti S (2020) Impact of reference prices on product positioning and profits. Prod Oper Manag 29:882–892\nNeven D (1986) Address models of differentiation. Spatial Pricing and Differentiated Markets. pp 5–18. Pion, London\nTabuchi T, Thisse J (1995) Asymmetric equilibria in spatial competition. 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After reviewing a simple static model of insurer solvency (in which all customers have inelastic demand), we present a one-period game in which both the buyers and sellers of insurance make strategic bids to determine market price and quantity. For the case in which both buyers and sellers are characterized by constant absolute risk aversion, we show that a unique market equilibrium exists under certain conditions. 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D., and Butler, R. J. (1985): “Survivorship and the Size Distribution of the Property-Liability Insurance Industry.”Journal of Risk and Insurance 52: 424–440.",{"doi":216},{"id":212,"text":1206,"url":214,"identifiers":1207},"Baton, B., and Lemaire, J. (1981a): “The Core of a Reinsurance Market.”Astin Bulletin 12: 57–71.",{"doi":216},{"id":212,"text":1209,"url":214,"identifiers":1210},"— (1981b): “The Bargaining Set of a Reinsurance Market.”Astin Bulletin 12: 101–114.",{"doi":216},{"id":212,"text":1212,"url":214,"identifiers":1213},"Borch, K. (1962a): “Equilibrium in a Reinsurance Market.”Econometrica 30: 424–444.",{"doi":216},{"id":212,"text":1215,"url":214,"identifiers":1216},"— (1962b): “Application of Game Theory to Some Problems in Automobile Insurance.”Astin Bulletin 2: 208–221.",{"doi":216},{"id":212,"text":1218,"url":214,"identifiers":1219},"Brockett, P. L. (1983): “On the Misuse of the Central Limit Theorem in Some Risk Calculations.”Journal of Risk and Insurance 50: 727–731.",{"doi":216},{"id":212,"text":1221,"url":214,"identifiers":1222},"Cummins, J. D., and VanDerhei, J. (1979): “A Note on the Relative Efficiency of Property-Liability Insurance Distribution Systems.”Bell Journal of Economics 10: 709–719.",{"doi":216},{"id":212,"text":1224,"url":214,"identifiers":1225},"Cummins, J. D., and Weiss, M. A. (1993): “Measuring Cost Efficiency in the Property-Liability Insurance Industry.”Journal of Banking and Finance 17: 463–481.",{"doi":216},{"id":212,"text":1227,"url":214,"identifiers":1228},"Dubey, P., and Shubik, M. (1978): “A Theory of Money and Financial Institutions. 28. The Non-Cooperative Equilibria of a Closed Trading Economy with Market Supply and Bidding Strategies.”Journal of Economic Theory 17: 1–20.",{"doi":216},{"id":22,"text":1230,"url":22,"identifiers":1231},"Duncan, M. P. (1984): “An Appraisal of Property and Casualty Post-Assessment Guaranty Funds.”Journal of Insurance Regulation 2: 289–303.",{},{"id":212,"text":1233,"url":214,"identifiers":1234},"Hammond, J., Melander, E., and Shilling, N. (1971): “Economies of Scale in the Property and Liability Insurance Industry.”Journal of Risk and Insurance 38: 181–191.",{"doi":216},{"id":22,"text":1236,"url":22,"identifiers":1237},"Hensley, R. J. (1962): “Scale Economies in Financial Enterprises.”Journal of Political Economy 66: 389–398.",{},{"id":212,"text":1239,"url":214,"identifiers":1240},"Joskow, P. L. (1973): “Cartels, Competition, and Regulation in the Property-Liability Insurance Industry.”Bell Journal of Economics 4: 375–427.",{"doi":216},{"id":212,"text":1242,"url":214,"identifiers":1243},"Kihlstrom, R. E., and Roth, A. E. (1982): “Risk Aversion and the Negotiation of Insurance Contracts.”Journal of Risk and Insurance 59: 372–387.",{"doi":216},{"id":22,"text":1245,"url":22,"identifiers":1246},"Kunreuther, H., and Pauly, M. V. (1985): “Market Equilibrium with Private Knowledge: an Insurance Example.”Journal of Public Economics 26: 269–288.",{},{"id":22,"text":1248,"url":22,"identifiers":1249},"Lee, C. G. (1989):Economies of Scale and Economies of Scope for Direct Writers in the Property-Liability Insurance Industry. Ph.D. dissertation, Department of Risk and Insurance, University of Pennsylvania, Philadelphia, PA.",{},{"id":22,"text":1251,"url":22,"identifiers":1252},"Lee, J.-H. (1994):A Linear Programming Approach to Efficiency Measurement in the Property-Liability Insurance Industry. Ph. D. dissertation, Department of Risk Management and Insurance, Temple University, Philadelphia, PA.",{},{"id":22,"text":1254,"url":22,"identifiers":1255},"National Association of Insurance Commissioners (1993):Report on Profitability by Line by State, 1993. Kansas City, MO: National Association of Insurance Commissioners.",{},{"id":212,"text":1257,"url":214,"identifiers":1258},"Powers, M. R. (1995): “A Theory of Risk, Return, and Solvency.”Insurance: Mathematics and Economics 17: 101–118.",{"doi":216},{"id":212,"text":1260,"url":214,"identifiers":1261},"Powers, M. R., and Shubik, M. (1997): “On the Tradeoff between the Law of Large Numbers and Oligopoly in Insurance.” Working Paper, School of Business and Management, Temple University, Philadelphia, PA.",{"doi":216},{"id":22,"text":1263,"url":22,"identifiers":1264},"Powers, M. R., Shubik, M., and Yao, S. T. (1994): “Insurance Market Games: Scale Effects and Public Policy.” Cowles Foundation Discussion Paper no. 1076, Yale University, New Haven, CT.",{},{"id":22,"text":1266,"url":22,"identifiers":1267},"Quirin, D. G., Halpern, P. J., Kalymon, B. A., Mathewson, G. F., and Walters, W. R. (1974):Competition, Economic Efficiency, and Profitability in the Canadian Property and Casualty Insurance Industry. Toronto: Insurance Bureau of Canada.",{},{"id":212,"text":1269,"url":214,"identifiers":1270},"Schlesinger, H. (1984): “Two-Person Insurance Negotiation.”Insurance: Mathematics and Economics 3: 147–149.",{"doi":216},{"id":212,"text":1272,"url":214,"identifiers":1273},"Shaffer, S. (1989): “Pooling Intensifies Joint Failure Risk.” Working Paper 89-01, Federal Reserve Bank of Philadelphia, Philadelphia, PA.",{"doi":216},{"id":212,"text":1275,"url":214,"identifiers":1276},"Shubik, M. (1984):A Game-Theoretic Approach to Political Economy. Cambridge, MA: MIT Press.",{"doi":216},{"id":212,"text":1278,"url":214,"identifiers":1279},"Smith, M. L., and Kane, S. A. (1994): “The Law of Large Numbers and the Strength of Insurance.” InInsurance, Risk Management, and Public Policy, edited by S. Gustavson and S. Harrington. 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Then, using the result, we render one proposition more exact from the economic point of view.",{"EN":1290},"Boundedness of economic variables and Olech's theorem",{"VOID":1292},"[\"16634757924737754586\"]",{"VOID":1294},"Brock, W. A., and Malliaris, A. G. (1989):Differential Equations, Stability and Chaos in Dynamic Economics. Amsterdam North-Holland.\nDesai, M. (1973): “Growth Cycles and Inflation in a Model of the Class Struggle.”Journal of Economic Theory 6: 527–545.\nGarcia, G. (1972): “Olech's Theorem and the Dynamic Stability of Theories of the Rate of Interest.”Journal of Economic Theory 4: 541–544.\nGoodwin, R. M. (1967): “A Growth Cycle.” InSocialism, Capitalism and Economic Growth, edited by C. H. Feinstein. Cambridge: Cambridge University Press.\nIto, T. (1978): “A Note on the Positivity Constraint in Olech's Theorem.”Journal of Economic Theory 17: 312–318.\nOlech, C. 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