메뉴 건너뛰기




Volumn 6, Issue 3, 2002, Pages 205-241

Economic equilibrium: Optimality and price decentralization

Author keywords

Equilibrium; Marginal cost pricing; Normal cone; Ordered vector space; Pareto optimum; Properness; Riesz Kantorovich formula; Separation theorem; Supporting price; Vector lattice

Indexed keywords


EID: 0141789861     PISSN: 13851292     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1020240410066     Document Type: Review
Times cited : (16)

References (121)
  • 2
    • 0001126310 scopus 로고
    • Equilibria in markets with a Riesz space of commodities
    • Aliprantis, C.D. and Brown, D.J.: Equilibria in markets with a Riesz space of commodities, J. Math. Economics 11 (1983), 189-207.
    • (1983) J. Math. Economics , vol.11 , pp. 189-207
    • Aliprantis, C.D.1    Brown, D.J.2
  • 8
    • 38249031476 scopus 로고
    • The fundamental theorems of welfare economics without proper preferences
    • Aliprantis, C.D. and Burkinshaw, O.: The fundamental theorems of welfare economics without proper preferences, J. Math. Economics 17 (1988), 41-54.
    • (1988) J. Math. Economics , vol.17 , pp. 41-54
    • Aliprantis, C.D.1    Burkinshaw, O.2
  • 9
    • 0001291007 scopus 로고
    • When is the core equivalence theorem valid?
    • Aliprantis, C.D. and Burkinshaw, O.: When is the core equivalence theorem valid?, Economic Theory 1 (1991), 169-182.
    • (1991) Economic Theory , vol.1 , pp. 169-182
    • Aliprantis, C.D.1    Burkinshaw, O.2
  • 10
    • 0035997643 scopus 로고    scopus 로고
    • The super order dual of an ordered vector space and the Riesz-Kantorovich formula
    • Aliprantis, C.D. and Tourky, R.: The super order dual of an ordered vector space and the Riesz-Kantorovich formula, Trans. Am. Math. Soc. 354 (2002), 2055-2077.
    • (2002) Trans. Am. Math. Soc. , vol.354 , pp. 2055-2077
    • Aliprantis, C.D.1    Tourky, R.2
  • 12
    • 0002702761 scopus 로고    scopus 로고
    • The Riesz-Kantorovich formula and general equilibrium theory
    • Aliprantis, C.D., Tourky, R. and Yannelis, N.C.: The Riesz-Kantorovich formula and general equilibrium theory, J. Math. Economics 34 (2000), 55-76.
    • (2000) J. Math. Economics , vol.34 , pp. 55-76
    • Aliprantis, C.D.1    Tourky, R.2    Yannelis, N.C.3
  • 13
    • 0035190134 scopus 로고    scopus 로고
    • A theory of value with non-linear prices: Equilibrium analysis beyond vector lattices
    • Aliprantis, C.D., Tourky, R. and Yannelis, N.C.: A theory of value with non-linear prices: equilibrium analysis beyond vector lattices, J. Economic Theory 100 (2001), 22-72.
    • (2001) J. Economic Theory , vol.100 , pp. 22-72
    • Aliprantis, C.D.1    Tourky, R.2    Yannelis, N.C.3
  • 14
    • 0141473719 scopus 로고
    • Paris: Ateliers Industria. Second edition, Traité d'Economie Pure. Paris: Imprimerie Nationale
    • Allais, M.: A la Recherche d'une Discipline Economique. Paris: Ateliers Industria, 1943. Second edition, Traité d'Economie Pure. Paris: Imprimerie Nationale, 1953.
    • (1943) Recherche d'une Discipline Economique
    • Allais, M.1    La, A.2
  • 15
    • 38249024954 scopus 로고
    • Equilibrium without uniform conditions
    • Araujo, A. and Monteiro, P.K.: Equilibrium without uniform conditions, J. Economic Theory 48 (1989), 416-427.
    • (1989) J. Economic Theory , vol.48 , pp. 416-427
    • Araujo, A.1    Monteiro, P.K.2
  • 17
    • 0001436273 scopus 로고
    • Existence of an equilibrium for a competitive economy
    • Arrow, K.J. and Debreu, G.: Existence of an equilibrium for a competitive economy, Econometrica 22 (1954), 265-290.
    • (1954) Econometrica , vol.22 , pp. 265-290
    • Arrow, K.J.1    Debreu, G.2
  • 19
    • 0002056057 scopus 로고
    • Markets with a continuum of traders
    • Aumann, R.J.: Markets with a continuum of traders, Econometrica 32 (1964), 39-50.
    • (1964) Econometrica , vol.32 , pp. 39-50
    • Aumann, R.J.1
  • 20
    • 45549115079 scopus 로고
    • Structure of consumption sets and existence of equilibria in infinite-dimensional spaces
    • Back, K.: Structure of consumption sets and existence of equilibria in infinite-dimensional spaces, J. Math. Economics 17 (1988), 89-99.
    • (1988) J. Math. Economics , vol.17 , pp. 89-99
    • Back, K.1
  • 21
    • 84963009406 scopus 로고
    • The existence of marginal cost pricing equilibria with increasing returns
    • Beato, P.: The existence of marginal cost pricing equilibria with increasing returns, The Quarterly Journal of Economics 389 (1982), 669-688.
    • (1982) The Quarterly Journal of Economics , vol.389 , pp. 669-688
    • Beato, P.1
  • 22
    • 0000516505 scopus 로고
    • On the marginal cost pricing with given tax-subsidy rules
    • Beato, P. and Mas-Colell A.: On the marginal cost pricing with given tax-subsidy rules, Journal of Economic Theory 37 (1985), 356-365.
    • (1985) Journal of Economic Theory , vol.37 , pp. 356-365
    • Beato, P.1    Mas-Colell, A.2
  • 23
    • 0001455753 scopus 로고
    • How to discard 'free disposability' at no cost
    • Bergstrom, T.C.: How to discard 'free disposability' at no cost, J. Math. Economics 3 (1976), 131-134.
    • (1976) J. Math. Economics , vol.3 , pp. 131-134
    • Bergstrom, T.C.1
  • 24
    • 0000845449 scopus 로고
    • Existence of equilibria in economies with infinitely many commodities
    • Bewley, T.F.: Existence of equilibria in economies with infinitely many commodities, J. Economic Theory 4 (1972), 514-540.
    • (1972) J. Economic Theory , vol.4 , pp. 514-540
    • Bewley, T.F.1
  • 26
    • 0002792436 scopus 로고
    • Sur the gestion des monopoles publics astreints à l'équilibre budgétaire
    • Boiteux, M.: Sur the gestion des monopoles publics astreints à l'équilibre budgétaire, Econometrica 24 (1956), 22-40. Translated as: On the management of public monopolies subject to budgetary constraints, Journal of Economic Theory 3 (1971), 219-240.
    • (1956) Econometrica , vol.24 , pp. 22-40
    • Boiteux, M.1
  • 27
    • 0009950695 scopus 로고
    • On the management of public monopolies subject to budgetary constraints
    • Boiteux, M.: Sur the gestion des monopoles publics astreints à l'équilibre budgétaire, Econometrica 24 (1956), 22-40. Translated as: On the management of public monopolies subject to budgetary constraints, Journal of Economic Theory 3 (1971), 219-240.
    • (1971) Journal of Economic Theory , vol.3 , pp. 219-240
  • 28
    • 38249030767 scopus 로고
    • On two existence results of equilibria in economies with increasing returns
    • Bonnisseau, J.M.: On two existence results of equilibria in economies with increasing returns, J. Math. Economics 17 (1988), 193-207.
    • (1988) J. Math. Economics , vol.17 , pp. 193-207
    • Bonnisseau, J.M.1
  • 29
    • 0007110599 scopus 로고
    • Caractérisation des optima de Pareto dans une économie avec effets externes
    • Bonnisseau, J.M.: Caractérisation des optima de Pareto dans une économie avec effets externes, Annales d'Economie et de Statistique 36 (1994), 97-112.
    • (1994) Annales d'Economie et de Statistique , vol.36 , pp. 97-112
    • Bonnisseau, J.M.1
  • 30
    • 38249029941 scopus 로고
    • Valuation equilibrium and Pareto optimum in nonconvex economies
    • Bonnisseau, J.M. and Cornet, B.: Valuation equilibrium and Pareto optimum in nonconvex economies, J. Math. Economics 17 (1988), 293-308.
    • (1988) J. Math. Economics , vol.17 , pp. 293-308
    • Bonnisseau, J.M.1    Cornet, B.2
  • 31
    • 0001229344 scopus 로고
    • Existence of equilibria when firms follow bounded losses pricing rules
    • Bonnisseau, J. M. and Cornet, B.: Existence of equilibria when firms follow bounded losses pricing rules, J. Math. Economics 17 (1988), 119-147.
    • (1988) J. Math. Economics , vol.17 , pp. 119-147
    • Bonnisseau, J.M.1    Cornet, B.2
  • 32
    • 0041392339 scopus 로고
    • Existence of marginal cost pricing equilibria in an economy with several nonconvex firms
    • Bonnisseau, J.M. and Cornet, B.: Existence of marginal cost pricing equilibria in an economy with several nonconvex firms, Econometrica 58 (1990), 661-682.
    • (1990) Econometrica , vol.58 , pp. 661-682
    • Bonnisseau, J.M.1    Cornet, B.2
  • 33
    • 0001301758 scopus 로고
    • Existence of marginal cost pricing equilibria: The nonsmooth case
    • Bonnisseau, J.M. and Cornet, B.: Existence of marginal cost pricing equilibria: the nonsmooth case, Internat. Economic Review 31 (1990), 685-708.
    • (1990) Internat. Economic Review , vol.31 , pp. 685-708
    • Bonnisseau, J.M.1    Cornet, B.2
  • 34
    • 0041980333 scopus 로고
    • Equilibrium theory with increasing returns: The existence problem
    • Barnett, W., Cornet, B., D'Aspremont, C., Gabszewicz, J.J., Mas-Colell, A., (eds.). (International Symposia in Economic Theory and Econometrics, Cambridge University Press, Cambridge and New York)
    • Bonnisseau, J.M. and Cornet, B.: Equilibrium theory with increasing returns: the existence problem, in: Barnett, W., Cornet, B., D'Aspremont, C., Gabszewicz, J.J., Mas-Colell, A., (eds.), General Equilibrium Theory and Applications. (International Symposia in Economic Theory and Econometrics, Cambridge University Press, Cambridge and New York, 1991), pp. 65-82.
    • (1991) General Equilibrium Theory and Applications , pp. 65-82
    • Bonnisseau, J.M.1    Cornet, B.2
  • 35
    • 0002149565 scopus 로고    scopus 로고
    • A nonconvex separation property in Banach spaces Math
    • Borwein, J.M. and Joffré, A.: A nonconvex separation property in Banach spaces Math. Methods Oper Res. 48 (1998), 169-179.
    • (1998) Methods Oper Res. , vol.48 , pp. 169-179
    • Borwein, J.M.1    Joffré, A.2
  • 36
    • 0004109936 scopus 로고
    • Lecture Notes in Economics and Mathematical Systems, Springer, Berlin and New York
    • Bridges, D.S. and Mehta, G.B.: Representation of Preference Orderings, Lecture Notes in Economics and Mathematical Systems, Vol. 422, Springer, Berlin and New York, 1995.
    • (1995) Representation of Preference Orderings , vol.422
    • Bridges, D.S.1    Mehta, G.B.2
  • 38
    • 77956862950 scopus 로고
    • Equilibrium analysis with non-convex technologies
    • W. Hildenbrand and H. Sonnenschein (eds), North-Holland, Amsterdam
    • Brown, D. J.: Equilibrium analysis with non-convex technologies, in W. Hildenbrand and H. Sonnenschein (eds), Handbook of Mathematical Economics, Vol. IV, North-Holland, Amsterdam, 1991, pp. 1963-1995.
    • (1991) Handbook of Mathematical Economics , vol.4 , pp. 1963-1995
    • Brown, D.J.1
  • 39
    • 0141585323 scopus 로고
    • Equity, efficiency and increasing returns
    • Brown, D.J. and Heal, G.M.: Equity, efficiency and increasing returns, Review of Economic Study 46 (1979), 571-585.
    • (1979) Review of Economic Study , vol.46 , pp. 571-585
    • Brown, D.J.1    Heal, G.M.2
  • 40
    • 0141808432 scopus 로고
    • Two parts tariffs, marginal cost pricing and increasing returns
    • Brown, D.J. and Heal, G.M.: Two parts tariffs, marginal cost pricing and increasing returns, Journal of Public Economics 13 (1980), 22-50.
    • (1980) Journal of Public Economics , vol.13 , pp. 22-50
    • Brown, D.J.1    Heal, G.M.2
  • 41
    • 38249043715 scopus 로고
    • On a general existence theorem for marginal cost pricing equilibria
    • Brown, D.J., Heal, G., Khan, A.M., and Vohra, R.: On a general existence theorem for marginal cost pricing equilibria, Journal of Economic Theory 38 (1986), 371-379.
    • (1986) Journal of Economic Theory , vol.38 , pp. 371-379
    • Brown, D.J.1    Heal, G.2    Khan, A.M.3    Vohra, R.4
  • 43
    • 84967708668 scopus 로고
    • Generalized gradients and applications
    • Clarke, F.: Generalized gradients and applications, Trans. Am. Math. Soc. 205 (1975), 247-262.
    • (1975) Trans. Am. Math. Soc. , vol.205 , pp. 247-262
    • Clarke, F.1
  • 45
    • 0141585300 scopus 로고
    • The second welfare theorem in nonconvex economies
    • Université Catholique de Louvain
    • Cornet, B.: The second welfare theorem in nonconvex economies, CORE Discussion Paper, # 8630, Université Catholique de Louvain, 1986.
    • (1986) CORE Discussion Paper, # 8630
    • Cornet, B.1
  • 46
    • 38249031928 scopus 로고
    • Topological properties of the set of attainable production plans in a nonconvex production economy
    • Cornet, B.: Topological properties of the set of attainable production plans in a nonconvex production economy, J. Math. Economics 17 (1988), 275-292.
    • (1988) J. Math. Economics , vol.17 , pp. 275-292
    • Cornet, B.1
  • 47
    • 0141585319 scopus 로고
    • Existence of equilibria in economies with increasing returns
    • Cornet, B. and Tulkens, H., (eds). The MIT Press, Cambridge, MA
    • Cornet, B.: Existence of equilibria in economies with increasing returns, in: Cornet, B. and Tulkens, H., (eds) Contributions to Operations Research and Economics, Louvain-la-Neuve, 1987. The MIT Press, Cambridge, MA, 1989, pp. 79-97.
    • (1989) Contributions to Operations Research and Economics, Louvain-la-Neuve, 1987 , pp. 79-97
    • Cornet, B.1
  • 48
    • 38249030110 scopus 로고
    • General equilibrium theory and increasing returns: Presentation
    • Cornet, B.: General equilibrium theory and increasing returns: presentation, J. Math. Economics 17 (1988),103-118.
    • (1988) J. Math. Economics , vol.17 , pp. 103-118
    • Cornet, B.1
  • 49
    • 0002152030 scopus 로고
    • Marginal cost pricing and Pareto optimality
    • P. Champsaur et al, eds. The MIT Press, Cambridge, MA
    • Cornet, B.: Marginal cost pricing and Pareto optimality, in: P. Champsaur et al, eds., Essays in Honor of Edmond Malinvaud. The MIT Press, Cambridge, MA, 1990, pp. 13-52.
    • (1990) Essays in Honor of Edmond Malinvaud , pp. 13-52
    • Cornet, B.1
  • 51
    • 0000235119 scopus 로고
    • The coefficient of resource utilization
    • Debreu, G.: The coefficient of resource utilization, Econometrica 19 (1951), 273-292.
    • (1951) Econometrica , vol.19 , pp. 273-292
    • Debreu, G.1
  • 52
    • 0001593266 scopus 로고
    • Valuation equilibrium and Pareto optimum
    • Debreu, G.: Valuation equilibrium and Pareto optimum, Proc. Natl. Acad. Sci. U.S.A. 40 (1954), 588-592.
    • (1954) Proc. Natl. Acad. Sci. U.S.A. , vol.40 , pp. 588-592
    • Debreu, G.1
  • 53
    • 0001940282 scopus 로고
    • Representation of a preference ordering by a numerical function
    • Thrall, R.M., Coombs, C.H. and Davis, R.L. (eds.), Wiley, New York
    • Debreu, G.: Representation of a preference ordering by a numerical function: in Thrall, R.M., Coombs, C.H. and Davis, R.L. (eds.), Decision Processes, Wiley, New York, 1954, 159-165.
    • (1954) Decision Processes , pp. 159-165
    • Debreu, G.1
  • 55
    • 0001144037 scopus 로고
    • New concepts and techniques for equilibrium analysis
    • Debreu, G.: New concepts and techniques for equilibrium analysis, Int. Economic Review 3 (1962), 257-273.
    • (1962) Int. Economic Review , vol.3 , pp. 257-273
    • Debreu, G.1
  • 56
    • 0000424497 scopus 로고
    • Economies with a finite set of equilibria
    • Debreu, G.: Economies with a finite set of equilibria, Econometrica 38 (1970), 387-392.
    • (1970) Econometrica , vol.38 , pp. 387-392
    • Debreu, G.1
  • 57
    • 0000555190 scopus 로고
    • A limit theorem on the core of an economy
    • Debreu, G. and Scarf, H.E.: A limit theorem on the core of an economy, Int. Economic Review 4 (1963), 235-246.
    • (1963) Int. Economic Review , vol.4 , pp. 235-246
    • Debreu, G.1    Scarf, H.E.2
  • 58
    • 0033439742 scopus 로고    scopus 로고
    • Decentralizing Edgeworth equilibria in economies with many commodities
    • Deghdak, M. and Florenzano, M.: Decentralizing Edgeworth equilibria in economies with many commodities, Economic Theory 14 (1999), 297-310.
    • (1999) Economic Theory , vol.14 , pp. 297-310
    • Deghdak, M.1    Florenzano, M.2
  • 59
    • 0141473713 scopus 로고
    • Increasing returns to scale and productive systems
    • Dierker, E., Fourgeaud, C. and Neuefeind, W.: Increasing returns to scale and productive systems, Economic Theory 13 (1976), 428-438.
    • (1976) Economic Theory , vol.13 , pp. 428-438
    • Dierker, E.1    Fourgeaud, C.2    Neuefeind, W.3
  • 60
    • 0011614317 scopus 로고
    • General equilibrium where some firms follow special pricing rules
    • Dierker, E., Guesnerie, R. and Neuefeind, W.: General equilibrium where some firms follow special pricing rules, Econometrica 53 (1985) 1369-1393.
    • (1985) Econometrica , vol.53 , pp. 1369-1393
    • Dierker, E.1    Guesnerie, R.2    Neuefeind, W.3
  • 61
    • 84911062449 scopus 로고
    • When does marginal cost pricing lead to Pareto-efficiency?
    • Dierker, E.: When does marginal cost pricing lead to Pareto-efficiency?, Zeitschrift für Nationalökonomie 5 (1986), 41-66.
    • (1986) Zeitschrift für Nationalökonomie , vol.5 , pp. 41-66
    • Dierker, E.1
  • 63
    • 0001326232 scopus 로고
    • The law of supply and demand
    • Gale, D.: The law of supply and demand, Math. Scandinavica 3 (1955), 155-169.
    • (1955) Math. Scandinavica , vol.3 , pp. 155-169
    • Gale, D.1
  • 64
    • 49549141398 scopus 로고
    • An equilibrium existence theorem for a general model without ordered preferences
    • Gale, D. and Mas-Colell, A.: An equilibrium existence theorem for a general model without ordered preferences, J. Math. Economics 2 (1975), 9-15.
    • (1975) J. Math. Economics , vol.2 , pp. 9-15
    • Gale, D.1    Mas-Colell, A.2
  • 65
    • 0011457536 scopus 로고
    • An introduction to general equilibrium with incomplete asset markets
    • Geanakoplos, J.: An introduction to general equilibrium with incomplete asset markets, J. Math. Economics 19 (1990), 1-38.
    • (1990) J. Math. Economics , vol.19 , pp. 1-38
    • Geanakoplos, J.1
  • 66
    • 0002734029 scopus 로고
    • Pareto-optimality in nonconvex economies
    • Guesnerie, R.: Pareto-optimality in nonconvex economies, Econometrica 43 (1975), 1-29.
    • (1975) Econometrica , vol.43 , pp. 1-29
    • Guesnerie, R.1
  • 68
    • 0001514051 scopus 로고
    • The general welfare in relation to problems of taxation and of railway and utility rates
    • Hotelling, H.: The general welfare in relation to problems of taxation and of railway and utility rates, Econometrica 6 (1938), 242-269.
    • (1938) Econometrica , vol.6 , pp. 242-269
    • Hotelling, H.1
  • 69
    • 0039511477 scopus 로고
    • The relation of prices to marginal costs in an optimum system
    • Hotelling, H.: The relation of prices to marginal costs in an optimum system, Econometrica 7 (1939), 151-155.
    • (1939) Econometrica , vol.7 , pp. 151-155
    • Hotelling, H.1
  • 70
    • 0002773714 scopus 로고
    • Programming in linear spaces
    • K. Arrow, L. Hurwicz, and H. Uzawa (eds), Stanford University Press
    • Hurwicz, L.: Programming in linear spaces, in: K. Arrow, L. Hurwicz, and H. Uzawa (eds), Studies in Linear and Non-Linear Programming, Stanford University Press, 1958.
    • (1958) Studies in Linear and Non-Linear Programming
    • Hurwicz, L.1
  • 71
    • 0001709722 scopus 로고
    • Existence and uniqueness of equilibria with increasing returns
    • Kamiya, K., Existence and uniqueness of equilibria with increasing returns, Journal of Mathematical Economics 17 (1988).
    • (1988) Journal of Mathematical Economics , vol.17
    • Kamiya, K.1
  • 72
    • 0141473710 scopus 로고    scopus 로고
    • The Mordukhovich normal cone and the foundation of welfare economics
    • Khan, M.A.: The Mordukhovich normal cone and the foundation of welfare economics, J. Public Economic Theory 251 (2000), 187-216.
    • (2000) J. Public Economic Theory , vol.251 , pp. 187-216
    • Khan, M.A.1
  • 73
    • 0002106950 scopus 로고
    • Ioffe's normal cone and the foundations of welfare economics: The infinite-dimensional theory
    • Khan, M.A.: Ioffe's normal cone and the foundations of welfare economics: the infinite-dimensional theory, J. Math. Anal. Appl. 161 (1991), 284-298.
    • (1991) J. Math. Anal. Appl. , vol.161 , pp. 284-298
    • Khan, M.A.1
  • 74
    • 0010782801 scopus 로고
    • An extension of the second welfare theorem to economies with non-convexities and public goods
    • Khan, M.A. and Vobra R.: An extension of the second welfare theorem to economies with non-convexities and public goods, Quarterly Journal of Economics 102 (1987), 223-241.
    • (1987) Quarterly Journal of Economics , vol.102 , pp. 223-241
    • Khan, M.A.1    Vobra, R.2
  • 75
    • 0141808429 scopus 로고
    • Pareto-optimal allocations of nonconvex economies in locally convex spaces
    • Khan, M.A. and Vobra R.: Pareto-optimal allocations of nonconvex economies in locally convex spaces, Nonlinear Analysis 12 (1988), 943-950.
    • (1988) Nonlinear Analysis , vol.12 , pp. 943-950
    • Khan, M.A.1    Vobra, R.2
  • 76
    • 84972519666 scopus 로고
    • The support property of a convex set
    • Klee, Jr., V.L.: The support property of a convex set, Duke Math. J. 15 (1948), 767-772.
    • (1948) Duke Math. J. , vol.15 , pp. 767-772
    • Klee V.L., Jr.1
  • 77
    • 0005216667 scopus 로고
    • The foundations of welfare economics
    • Lange, O.: The foundations of welfare economics, Econometrica 10 (1942), 215-228.
    • (1942) Econometrica , vol.10 , pp. 215-228
    • Lange, O.1
  • 82
    • 0000207065 scopus 로고
    • An equilibrium existence theorem without complete or transitive preferences
    • Mas-Colell, A.: An equilibrium existence theorem without complete or transitive preferences, J. Math. Economics 1 (1974), 237-246.
    • (1974) J. Math. Economics , vol.1 , pp. 237-246
    • Mas-Colell, A.1
  • 83
    • 0001360161 scopus 로고
    • The price equilibrium existence problem in topological vector lattices
    • Mas-Colell, A.: The price equilibrium existence problem in topological vector lattices, Econometrica 54 (1986), 1039-1053.
    • (1986) Econometrica , vol.54 , pp. 1039-1053
    • Mas-Colell, A.1
  • 84
    • 0003074899 scopus 로고
    • A new approach to the existence of equilibria in vector lattices
    • Mas-Colell, A. and Richard, S.F.: A new approach to the existence of equilibria in vector lattices, J. Economic Theory 53 (1991), 1-11.
    • (1991) J. Economic Theory , vol.53 , pp. 1-11
    • Mas-Colell, A.1    Richard, S.F.2
  • 86
    • 0000714306 scopus 로고
    • On equilibrium in Graham's model of world trade and other competitive systems
    • McKenzie, L. W.: On equilibrium in Graham's model of world trade and other competitive systems, Econometrica 22 (1954), 147-161.
    • (1954) Econometrica , vol.22 , pp. 147-161
    • McKenzie, L.W.1
  • 88
    • 0001926208 scopus 로고
    • On the existence of general equilibrium for a competitive market
    • McKenzie, L.W.: On the existence of general equilibrium for a competitive market, Econometrica 27 (1959), 54-71.
    • (1959) Econometrica , vol.27 , pp. 54-71
    • McKenzie, L.W.1
  • 89
    • 0000594953 scopus 로고
    • The classical theorem on existence of competitive equilibrium
    • McKenzie, L.W.: The classical theorem on existence of competitive equilibrium, Econometrica 29 (1981), 819-841.
    • (1981) Econometrica , vol.29 , pp. 819-841
    • McKenzie, L.W.1
  • 90
    • 0003025632 scopus 로고
    • Un'osservazione su un teorema di Brouwer
    • Miranda, C.: Un'osservazione su un teorema di Brouwer, Boll. Un. Mat. Ital. 3 (1940), 5-7.
    • (1940) Boll. Un. Mat. Ital. , vol.3 , pp. 5-7
    • Miranda, C.1
  • 91
    • 0141808427 scopus 로고    scopus 로고
    • Mas-Colell's price equilibrium existence problem - The case of smooth disposal
    • forthcoming
    • Monteiro, P. and Tourky, R.: Mas-Colell's price equilibrium existence problem - the case of smooth disposal, J. Economic Theory, forthcoming.
    • J. Economic Theory
    • Monteiro, P.1    Tourky, R.2
  • 92
    • 0008821338 scopus 로고    scopus 로고
    • Metric approximations and necessary conditions for an extremum in nonsmooth optimization
    • Mordukhovich, B.S.: Metric approximations and necessary conditions for an extremum in nonsmooth optimization, Doklady Akad. Nauk. SSR 224, 1072-1076. English translation in Soviet Math. Doklady Akad. 22 (1980), 526-530.
    • Doklady Akad. Nauk. SSR , vol.224 , pp. 1072-1076
    • Mordukhovich, B.S.1
  • 93
    • 0141585317 scopus 로고
    • Mordukhovich, B.S.: Metric approximations and necessary conditions for an extremum in nonsmooth optimization, Doklady Akad. Nauk. SSR 224, 1072-1076. English translation in Soviet Math. Doklady Akad. 22 (1980), 526-530.
    • (1980) Soviet Math. Doklady Akad. , vol.22 , pp. 526-530
  • 94
    • 0034311162 scopus 로고    scopus 로고
    • An abstract extremal principle with applications to welfare economics
    • Mordukhovich, B.S.: An abstract extremal principle with applications to welfare economics, Journal of Math. An. and Appl. 251 (2000), 187-216.
    • (2000) Journal of Math. An. and Appl. , vol.251 , pp. 187-216
    • Mordukhovich, B.S.1
  • 95
    • 84980122450 scopus 로고
    • Welfare economics and existence of an equilibrium for a competitive economy
    • Negishi, T.: Welfare economics and existence of an equilibrium for a competitive economy, Metroeconomica 12 (1960), 92-97.
    • (1960) Metroeconomica , vol.12 , pp. 92-97
    • Negishi, T.1
  • 96
    • 0003838025 scopus 로고
    • Mathematics in Science and Engineering, Academic Press, New York
    • Nikaidô, H.: Convex Structures and Economic Theory, Mathematics in Science and Engineering, Academic Press, New York, 1986.
    • (1986) Convex Structures and Economic Theory
    • Nikaidô, H.1
  • 98
    • 0030511601 scopus 로고    scopus 로고
    • Equilibria in vector lattices without ordered preferences or uniform properness
    • Podczeck, K.: Equilibria in vector lattices without ordered preferences or uniform properness, J. Math. Economics 25 (1996), 465-485.
    • (1996) J. Math. Economics , vol.25 , pp. 465-485
    • Podczeck, K.1
  • 100
    • 84963072475 scopus 로고
    • Efficiency prices for infinite horizon production programmes
    • Radner, R.: Efficiency prices for infinite horizon production programmes, Rev. Economic Studies 34 (1967), 51-66.
    • (1967) Rev. Economic Studies , vol.34 , pp. 51-66
    • Radner, R.1
  • 101
    • 0001406205 scopus 로고
    • A new approach to production equilibria in vector lattices
    • Richard, S.F.: A new approach to production equilibria in vector lattices, J. Math. Economics 18 (1989), 41-56.
    • (1989) J. Math. Economics , vol.18 , pp. 41-56
    • Richard, S.F.1
  • 102
    • 38249042097 scopus 로고
    • Proper preferences and quasiconcave utility functions
    • Richard, S.F. and Zame, W.R.: Proper preferences and quasiconcave utility functions, J. Math. Economics 15 (1986), 231-247.
    • (1986) J. Math. Economics , vol.15 , pp. 231-247
    • Richard, S.F.1    Zame, W.R.2
  • 103
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, NJ
    • Rockafellar, R.T: Convex Analysis, Princeton University Press, Princeton, NJ, 1970.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 107
    • 0001645029 scopus 로고
    • Equilibrium in abstract economies without ordered preferences
    • Shafer, W.J. and Sonnenschein, H.F.: Equilibrium in abstract economies without ordered preferences, J. Math. Economics 2 (1975), 345-348.
    • (1975) J. Math. Economics , vol.2 , pp. 345-348
    • Shafer, W.J.1    Sonnenschein, H.F.2
  • 108
    • 0141808428 scopus 로고
    • Some theorems on the existence of competitive equilibrium
    • Shafer, W.J. and Sonnenschein, H.F.: Some theorems on the existence of competitive equilibrium, J. Economic Theory 11 (1975), 83-93.
    • (1975) J. Economic Theory , vol.11 , pp. 83-93
    • Shafer, W.J.1    Sonnenschein, H.F.2
  • 109
    • 0001643943 scopus 로고
    • Equilibrium with externalities, commodity taxation, and lump sum transfers
    • Shafer, W.J. and Sonnenschein, H.F.: Equilibrium with externalities, commodity taxation, and lump sum transfers, Int. Economic Review 17 (1976), 601-611.
    • (1976) Int. Economic Review , vol.17 , pp. 601-611
    • Shafer, W.J.1    Sonnenschein, H.F.2
  • 110
    • 0003307431 scopus 로고
    • Demand theory without transitive preferences, with applications to the theory of competitive equilibrium
    • Chipman, J., Hurwicz, L., Richter, M.K. and Sonnenschein, H.F. (eds.), Harcourt Brace Jovanovich, New York
    • Sonnenschein, H.F.: Demand theory without transitive preferences, with applications to the theory of competitive equilibrium, in: Chipman, J., Hurwicz, L., Richter, M.K. and Sonnenschein, H.F. (eds.), Preferences, Utility, and Demand Harcourt Brace Jovanovich, New York, 1971, 215-223.
    • (1971) Preferences, Utility, and Demand , pp. 215-223
    • Sonnenschein, H.F.1
  • 111
    • 84980122743 scopus 로고
    • Programming Pareto optimum and the existence of competitive equilibria
    • Takayama, A. and El-Hodiri, M.: Programming, Pareto optimum and the existence of competitive equilibria, Metroeconomica 20 (1968), 1-10.
    • (1968) Metroeconomica , vol.20 , pp. 1-10
    • Takayama, A.1    El-Hodiri, M.2
  • 112
    • 0000973708 scopus 로고    scopus 로고
    • A new approach to the limit theorem on the core of an economy in vector lattices
    • Tourky, R.: A new approach to the limit theorem on the core of an economy in vector lattices, J. Economic Theory 78 (1998), 321-328.
    • (1998) J. Economic Theory , vol.78 , pp. 321-328
    • Tourky, R.1
  • 113
    • 0033446059 scopus 로고    scopus 로고
    • The limit theorem on the core of a production economy in vector lattices with unordered preferences
    • Tourky, R.: The limit theorem on the core of a production economy in vector lattices with unordered preferences, Economic Theory 14 (1999), 219-226.
    • (1999) Economic Theory , vol.14 , pp. 219-226
    • Tourky, R.1
  • 114
    • 0038126589 scopus 로고
    • On the existence of equilibria in economies with increasing returns
    • Vohra, R.: On the existence of equilibria in economies with increasing returns, Journal of Mathematical Economics 17 (1988).
    • (1988) Journal of Mathematical Economics , vol.17
    • Vohra, R.1
  • 115
    • 0000169428 scopus 로고
    • On some systems of equations of mathematical economics
    • Wald, A.: On some systems of equations of mathematical economics, Econometrica 19 (1951), 386-403.
    • (1951) Econometrica , vol.19 , pp. 386-403
    • Wald, A.1
  • 116
    • 0141808430 scopus 로고
    • Walras on Gossen
    • Spiegel, H.W. (ed.), John Wiley and Sons, New York. First appeared in the Journal des Economistes, under the title 'Un énonomiste inconnu,' H. H. Gossen
    • Walras, L.: Walras on Gossen, in: Spiegel, H.W. (ed.), The Development of Economic Thought, Great Economists in Perspective, John Wiley and Sons, New York, 1952. First appeared in the Journal des Economistes, 1885, under the title 'Un énonomiste inconnu,' H. H. Gossen, pp. 471-488.
    • (1885) The Development of Economic Thought, Great Economists in Perspective , pp. 471-488
    • Walras, L.1
  • 117
    • 0003534622 scopus 로고
    • Lausanne, Corbaz
    • Walras, L.: Eléments d'Economie Politique Pure, Lausanne, Corbaz, 1874-1877. Elements of Pure Economics, Definitive Edition, George Allen and Unwin Ltd, London, 1954. Translated into English by W. Jaffé.
    • (1874) Eléments d'Economie Politique Pure , pp. 1877
    • Walras, L.1
  • 118
    • 0004131957 scopus 로고
    • George Allen and Unwin Ltd, London. Translated into English by W. Jaffé
    • Walras, L.: Eléments d'Economie Politique Pure, Lausanne, Corbaz, 1874-1877. Elements of Pure Economics, Definitive Edition, George Allen and Unwin Ltd, London, 1954. Translated into English by W. Jaffé.
    • (1954) Elements of Pure Economics, Definitive Edition
  • 119
    • 48749143131 scopus 로고
    • Existence of maximal elements and equilibria in linear topological spaces
    • Yannelis, N.C. and Prabhakar, N.: Existence of maximal elements and equilibria in linear topological spaces, J. Math. Economics 12 (1983), 233-245.
    • (1983) J. Math. Economics , vol.12 , pp. 233-245
    • Yannelis, N.C.1    Prabhakar, N.2
  • 120
    • 0001847034 scopus 로고
    • Equilibria in Banach lattices without ordered preferences
    • Yannelis, N.C. and Zame, W.R.: Equilibria in Banach lattices without ordered preferences, J. Math. Economics 15 (1986), 85-110.
    • (1986) J. Math. Economics , vol.15 , pp. 85-110
    • Yannelis, N.C.1    Zame, W.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.