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Intriligator M.D., Arrow K.J. — Handbook of Mathematical Economics (vol. 4)
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Íàçâàíèå: Handbook of Mathematical Economics (vol. 4)Àâòîðû: Intriligator M.D., Arrow K.J. Àííîòàöèÿ: The Handbook of Mathematical Economics aims to provide a definitive source, reference, and teaching supplement for the field of mathematical economics. It surveys, as of the late 1970's the state of the art of mathematical economics. This is a constantly developing field and all authors were invited to review and to appraise the current status and recent developments in their presentations. In addition to its use as a reference, it is intended that this Handbook will assist researchers and students working in one branch of mathematical economics to become acquainted with other branches of this field. Volume 3 covers Mathematical Approaches to Welfare Economics, including social choice theory, optimal taxation, and optimal growth, together with Mathematical Approaches to Economic Organization and Planning, including organization design and decentralization.
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Ïðåäìåòíûé óêàçàòåëü
Martingales, semimartingale 1633 1636 1638 1654 1661 1673 Martingales, special semimartinglae 1656 Mas-Coleirs theorem 1635 Mas-Colell, A. 1595 1630 1635 1691 1692 1708 1835—1898 1903 1969 1971 1973 1976 1977 1989 2010 2015 2018 2031 2040 2054—2055 2059 2060 2068 2082 2085 2088 2089 2125 2127 2179 Maskin, E. 2009 Matsuyama, K. 1758 Mayshar, Y. 1817 McFadden, D. 2054—2055 McKenzie, L.W. 1618 1855 1887 1888 1917 1964 2074 2079 2086 2110 McKinnon, L.W. 1971 McLennan, A. 1630 1708 1889 1903 2127 McManus, D. 1608 Mehra, R. 1670 1836 Meilijson, I. 1817 Memin, J. 1669 Merrill, O.H. 2056 2063 Mertens, J.F. 1879—1881 Merton, R. 1668 1669 mesh 2057 Michael selection theorem 1976 1979 Miiller, S. 1669 Milgrom, P. 1667 Miller, M. 1620—1622 1666 Miller, M.H. 1609 Milnor, J. 1770 1781 Miltersen, K. 1669 Minkowski — Farkas lemma 1534—1535 Minkowski's theorem 1838—1839 1852 Mirman, L.J. 1818 1819 2099 Missing markets 1525 Mitra, T. 2223 Mobius band 1556 Modigliani and Miller model, irrelevance of corporate finance 1620—1622 Modigliani and Miller model, irrelevance of financial policy 1666 Modigliani and Miller model, theorem 1581 1583 1589 Modigliani, F. 1620—1622 1666 Monads 2162—2164 Monetarism 1947 Monetary equilibrium 1567 1573—1575 Monetary policy, Keynesian policy 2039 Monetary policy, neutrality of 2038—2039 (see also “Monopolistic competition macroeconomic Money, in GEI model with nominal assets 1567 1573—1575 Money, medium of exchange, as 1573 Money, non-neutral 1747 Money, precautionary demands for 1574—1575 Money, process 1730 Money, purchasing power 1574 Money, store of value, as 1573 Money, transactions demand for 1574 Monopolistic competition 1997—2045 Monopolistic competition, Bertrand — Edgeworth model 2001—2003 2015 Monopolistic competition, Bertrand — Edgeworth model, market size and 2011—2013 Monopolistic competition, Bertrand — Edgeworth model, undercutting argument 2001 2002 Monopolistic competition, Bertrand's rule 2000 2002 Monopolistic competition, Chamberlin model 2003—2005 Monopolistic competition, Chamberlin model, Edgeworth non-existence problem 2005—2007 Monopolistic competition, Chamberlin model, entry, with 2007—2008 Monopolistic competition, Chamberlin model, numbers of competitors 2011 Monopolistic competition, Chamberlin model, review of 2013—2014 Monopolistic competition, Chamberlin model, substitutability and 2010—2011 Monopolistic competition, competitiveness 2009—2015 2020—2021 Monopolistic competition, competitiveness, Bertrand — Edgeworth model and market size 2011—2013 Monopolistic competition, competitiveness, Chamberlin model and substitutability 2010—2011 Monopolistic competition, competitiveness, Chamberlin model reviewed 2013—2014 Monopolistic competition, competitiveness, Cournot equilibrium and market size 2009—2010 Monopolistic competition, competitiveness, Lerner's “degree of monopoly” 2009 Monopolistic competition, Cournot equilibrium 2000 2009—2010 Monopolistic competition, Cournot model 2000—2001 2015 2026—2028 Monopolistic competition, Cournot — Nash equilibrium 2028 Monopolistic competition, Cournot — Walras equilibrium 2026—2028 Monopolistic competition, defined 1997 Monopolistic competition, Edgeworth analysis 2001—2003 Monopolistic competition, Edgeworth non-existence problem 2005—2007 2011 2014 Monopolistic competition, efficiency 2021—2022 Monopolistic competition, excess capacity 2022 Monopolistic competition, existence of equilibrium with 2003—2009 Monopolistic competition, existence of equilibrium with, Chamberlin model 2003—2005 2007—2008 Monopolistic competition, existence of equilibrium with, Edgeworth non-existence problem 2005—2007 Monopolistic competition, GE representations 2024—2031 Monopolistic competition, GE representations, general framework 2024—2025 Monopolistic competition, GE representations, objective demand curve 2031 Monopolistic competition, GE representations, objective demand curve, Cournot 2026—2028 Monopolistic competition, GE representations, objective demand curve, with price makers 2028—2030 Monopolistic competition, GE representations, perceived inverse demand curve 2025 Monopolistic competition, GE representations, subjective demand curves 2025—2026 2031 Monopolistic competition, imperfect competition review 2000—2003 Monopolistic competition, Lerner index 2014 Monopolistic competition, macroeconomic issues and 2032—2039 Monopolistic competition, macroeconomic issues and, equilibrium, definition and characteristics 2035—2037 Monopolistic competition, macroeconomic issues and, general excess supply 2034 Monopolistic competition, macroeconomic issues and, inefficiency 2037—2038 Monopolistic competition, macroeconomic issues and, model 2032—2033 Monopolistic competition, macroeconomic issues and, neutrality of monetary policy 2038—2039 Monopolistic competition, macroeconomic issues and, objective demand curves 2033—2034 Monopolistic competition, macroeconomic issues and, underemployment and underproduction 2037—2038 Monopolistic competition, market size, Bertrand — Edgeworth model and 2011—2013 Monopolistic competition, market size, Cournot equilibrium and 2009—2010 Monopolistic competition, Nash equilibrium 2000 2003 2009 2012 2013 2014 2028 2035 Monopolistic competition, product differentiation 2015—2024 Monopolistic competition, product differentiation, closeness or substitutability 2018 Monopolistic competition, product differentiation, competitiveness 2020—2021 Monopolistic competition, product differentiation, continuity of preferences 2018 Monopolistic competition, product differentiation, efficiency 2021—2022 Monopolistic competition, product differentiation, finiteness property 2018 Monopolistic competition, product differentiation, horizontal differentiation 2019 Monopolistic competition, product differentiation, modelling of 2015—2017 Monopolistic competition, product differentiation, preference for diversity 2016 Monopolistic competition, product differentiation, representative consumer approach 2015—2017 Monopolistic competition, product differentiation, spatial competition 2019—2020 Monopolistic competition, product differentiation, vertical differentiation 2018 Monopolistic competition, product differentiation, zero profits 2022—2024 Monopolistic competition, spatial competition 2019—2020 Monopolistic competition, star-shaped production sets 1984 Monopolistic competition, unemployment 2037—2038 Monopolistic competition, zero profits 2022—2024 Monotonicity 1806 1852 1863 2068 Monotonicity, Anscombe — Aumann preference 1798 Monotonicity, comonotonicity 1779 1780 1804—1805 1806 1808 1809—1810 Monotonicity, conditional 1795 1808 Monotonicity, infinite dimensional spaces 1843 1852 1855 1857 1858 1863 1876 1880 1885 1976 Monotonicity, mixture-monotonicity 1773 Monotonicity, OGM 1920 1921 1928 1937 Monte Carlo simulation 1664 2229 Monteiro, P. 1639 1640 1846 Monteiro, P.K. 1872 1873 1874 1875 Montrucchio, L. 2102 2111 2219 2220 2223 2224 Morton, A. 1669 Mostowski collapsing function 2152—2153 Motivation 1771—1772 1802—1803 Muench, T. 2205 Muller, W.J. 2112 2122 Multiple shooting method 2126 Multiplicity of equilibria, dynamic economies with taxes and externalities 2134 Multiplicity of equilibria, non-sunspot equilibria 1687 Multiplicity of equilibria, OGM 2115—2122 Multiplicity of equilibria, optimally and 2075—2078 Multiplicity of equilibria, static exchange economy 2065—2068 Multiplicity of equilibria, static exchange economy, gross substitutability 2067 2068 2069 Multiplicity of equilibria, static exchange economy, weak axiom of revealed preference 2067—2068 2069 Multiplicity of equilibria, static production economy 2082—2085 Multiplicity of equilibria, sunspot equilibria 1687 1691—1692 1695 1695—1696 1696 Mutual fund theorem 1625 Myneni, R. 1669 Nachman, D. 1668 Nakamura, Y. 1776 Nalebuff, B. 2005 Nash equilibrium 2000 2003 2009 2012 2013 2014 2028 2035 Nataf, A. 2077 2085 Negishi method 1854 1879—1881 1889 2074—2075 2077 2090 Negishi method, infinite dimensional spaces 1854 1879—1881 1889 Negishi method, taxes in economies and 2135 Negishi, T. 1854 2025—2026 2027 2039 2040 2074 Nelson, E. 2205 Neuefeind, W. 1971 1972 1983 New classicals 1946 1948 Newton method 2105 2125—2126 Nielsen, L. 1669 Nielson, L.T. 1622 Nikaido, H. 1917 1964 2028 Nishimura, K. 2223 Nishimura, S. 2110 No-arbitrage equilibrium 1534—1536 1559—1562 No-arbitrage pricing 1607 1617 1623 Nominal asset equilibrium 1568—1569 Nominal assets 1530 (see also “Incomplete markets nominal Non-convex technologies 1963—1995 Non-convex technologies, average cost pricing equilibrium 1967 1972 1974 1976 1981 1984 Non-convex technologies, Beato and Mas-Colell model 1977—1980 1981 1983 1984 Non-convex technologies, Bonnisseau and Cornet 1977—1978 1981—1983 1984 Non-convex technologies, Bonnisseau — Cornet theorem 1969 1971 1972 Non-convex technologies, cones, Clarke normal cone 1968 1970 1978 1983 1984 1988 1991 Non-convex technologies, cones, Clarke tangent cone 1968 1969 1983 1990 1991 Non-convex technologies, cones, Dubovickii and Miljutin cones 1968 Non-convex technologies, cones, of interior displacements 1968 1991 Non-convex technologies, cones, tangent cones 1968 Non-convex technologies, Dierker index 1985 Non-convex technologies, free-disposal equilibrium 1978—1979 Non-convex technologies, global analysis 1967 Non-convex technologies, Global Newton's method 1988 Non-convex technologies, Guesnerie method 1967—1970 1974 Non-convex technologies, homotopy invariance theorem 1966 1985 1986 1987—1988 Non-convex technologies, Kamiya 1978 1985 1986 1987—1988 Non-convex technologies, local uniqueness and computation 1984—1988 Non-convex technologies, Mantel's model 1987—1988 Non-convex technologies, marginal cost pricing equilibrium 1966—1967 1969—1972 1974—1976 1981 1984 1985 1987—1988 Non-convex technologies, marginal cost pricing equilibrium, existence proof 1974—1984 Non-convex technologies, marginal cost pricing equilibrium, inefficiency of 1989—1990 Non-convex technologies, Michael selection theorem 1976 1979 Non-convex technologies, non-linear prices 1972—1973 Non-convex technologies, non-smooth analysis 1967 1968 Non-convex technologies, optimality 1966 1969 1970 1971—1972 1988—1992 Non-convex technologies, path-following method 1985 1986 1987—1988 Non-convex technologies, pricing rules, bounded losses pricing rules 1981—1984 1985 “Marginal Non-convex technologies, privately owned public utilities 1966 Non-convex technologies, production 1966 Non-convex technologies, production, equilibrium 1982 1983 Non-convex technologies, Scarf algorithm 1964—1965 1966 Non-convex technologies, Scitovsky community indifference curve 1988 Non-convex technologies, second welfare theorem 1988 1990 1990—1992 Non-convex technologies, Smale's method 1988 Non-convex technologies, star-shaped production sets 1984 Non-convex technologies, survival assumption 1978 1982 Non-convex technologies, TPMCP 1973 1974 1979 1980 1981 Non-convex technologies, two part tariff 1967 1973 Non-convex technologies, willingness to pay 1973 1980—1981 Non-linear dynamical systems, chaos in see “Chaos” Non-standard analysis 2145—2205 Non-standard analysis, Anderson — Dierker theorem 2185 2204 Non-standard analysis, Anderson — Rashid theorem 2179 Non-standard analysis, Aumann continuum economy 2180 2182 2184 2192—2193 2194 2195 2203 Non-standard analysis, Aumann continuum economy, hyperfinite exchange economy and 2187—2190 Non-standard analysis, Aumann Equivalence theorem 2190 2192 Non-standard analysis, bounded quantifiers 2157 Non-standard analysis, Brown — Robinson theorem 2185 2196—2197 Non-standard analysis, continuum of random variables 2149 2190—2203 Non-standard analysis, continuum of random variables, Keisler's price adjustment model 2199 2201—2203 Non-standard analysis, continuum of random variables, on Loeb space 2199—2201 Non-standard analysis, elementary proofs 2149 Non-standard analysis, Euclidian, metric and topological spaces 2161—2173 Non-standard analysis, Euclidian, metric and topological spaces, Ascoli's theorem 2170—2171 Non-standard analysis, Euclidian, metric and topological spaces, Bolzano — Weierstrass theorem 2166 Non-standard analysis, Euclidian, metric and topological spaces, bounded functions 2170 Non-standard analysis, Euclidian, metric and topological spaces, closed set 2165 Non-standard analysis, Euclidian, metric and topological spaces, compactness 2165—2167 Non-standard analysis, Euclidian, metric and topological spaces, continuity 2168—2171 Non-standard analysis, Euclidian, metric and topological spaces, continuity, S-continuous 2172 Non-standard analysis, Euclidian, metric and topological spaces, differentiation 2171 2172—2173 Non-standard analysis, Euclidian, metric and topological spaces, monads 2162—2164 Non-standard analysis, Euclidian, metric and topological spaces, open set 2164—2165 Non-standard analysis, Euclidian, metric and topological spaces, overspill 2162—2163 Non-standard analysis, Euclidian, metric and topological spaces, products 2167—2168 Non-standard analysis, Euclidian, metric and topological spaces, Riemann integration 2171—2172 Non-standard analysis, Euclidian, metric and topological spaces, Tychonoff theorem 2168 Non-standard analysis, finite set 2166 Non-standard analysis, hyperfinite exchange economy 2179 2182 2185 2192 2193 2194 2195—2196 2202 2203 Non-standard analysis, hyperfinite exchange economy, Auman economy and 2187—2190 Non-standard analysis, hyperfinite polygonal approximation 2172 Non-standard analysis, hyperfinite set 2148 2157 2160—2161 2162 2167 2182 2184 2204 Non-standard analysis, ideal elements 2149—2150 Non-standard analysis, ideal elements, infinitesimal 2149—2150 2152 Non-standard analysis, infinite set 2152 Non-standard analysis, integration, S-integrable 2178 2182 2185 2188 2189 2190 2193 2194 Non-standard analysis, integration, uniformly integrable 2178 2197 Non-standard analysis, internal and external sets 2152—2154 2156 2157 Non-standard analysis, internal definition principle 2159—2160 2162 2165 2175 2177 2181 2185 2193 Non-standard analysis, large economies 2179—2198 Non-standard analysis, large economies, Anderson — Dierker theorem 2185 2197—2198 Non-standard analysis, large economies, Brown — Robinson theorem 2185 2193—2194 2196—2197 Non-standard analysis, large economies, budget, support and demand gaps 2183—2184 Non-standard analysis, large economies, core convergence 2184—2198 Non-standard analysis, large economies, Manelli's examples 2189 2192 2194—2195 Non-standard analysis, large economies, preferences 2180—2182 Non-standard analysis, large economies, tenant farmer economy 2190—2192 Non-standard analysis, Law of Large Numbers 2199 Non-standard analysis, Lebesgue measure space 2175—2176 2199 Non-standard analysis, Leibniz' formulation of calculus 2149—2150 Non-standard analysis, Loeb measure 2173—2179 2182 Non-standard analysis, Loeb measure, construction 2148 2174 Non-standard analysis, Loeb measure, existence of 2173—2175 Non-standard analysis, Loeb measure, internal probability space definition 2173 Non-standard analysis, Loeb measure, Lebesgue measure 2175—2176 2199 Non-standard analysis, Loeb measure, lifting theorems 2177—2178 Non-standard analysis, Loeb measure, Radon measures representation 2176 Non-standard analysis, Loeb measure, weak convergence 2178—2179 Non-standard analysis, Loeb space, continuum of random variables on 2199—2201 Non-standard analysis, Loeb's theorem 2174—2175 Non-standard analysis, Mostowski collapsing function 2152—2153 Non-standard analysis, non-standard extensions 2160 2161 Non-standard analysis, notational conventions 2154 Non-standard analysis, probability theory 2149 Non-standard analysis, saturation 2158—2159 2161 2163 2164 2166 2200 Non-standard analysis, standard models 2154—2156 Non-standard analysis, superstructure 2154 2155 Non-standard analysis, superstructure, embeddings 2156—2157 2158 Non-standard analysis, Transfer Principle 2148 2157 2157—2158 2160 2172 2179 2185 2189 2190 2193 2195—2196 2203 Non-standard analysis, translation of non-standard proofs 2203—2204 Non-standard analysis, ultrafilter 2151 Non-standard analysis, ultraproduct 2160 Non-standard analysis, ultraproduct, construction 2150—2152 2157 2160 2161 Non-standard analysis, usefulness of 2147—2149 Non-standard analysis, weak convergence 2178—2179 2204 Non-vanishing Gaussian curvature condition 1932—1933 1937 Novshek, W. 2010 2040 Nuisance parameter theorem 2230—2231 Numeraire assets 1532—1533 1569 Numeraire-invariance 1650 Objective functions of firms 1582—1584 1585 OGM see “Overlapping generations model (OGM)” Okuno, M. 1922 1940 Optimality, dynamic production economy 2093—2094 Optimality, economies with taxes and externalities 2135—2137 Optimality, equilibrium and 2072—2078 Optimality, generally complete markets 1545 Optimality, multiplicity of equilibria 2075—2078 Optimality, Negishi approach 2074—2075 2077 Optimality, non-convex technologies 1966 1969 1970 1971—1972 1988—1992 Optimality, welfare theory and existence of equilibrium 2072—2075 Options, American put options 1659 1665 Options, Black — Scholes option pricing model 1658—1659 1660 1664 Ortega, J. 2070
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