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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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Äîáàâëåíà â êàòàëîã: 01.03.2007
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Ïðåäìåòíûé óêàçàòåëü
Aarts, EHL 2078
Abstract exchange economy 1909 1910—1912 1917 1920
Abstract exchange economy, revenue in 1938—1939
Accumulation, bubbles in 1685
Accumulation, capital accumulation 1753
Activity analysis, static economies with taxes 2128
Activity analysis, static production economy 2079 2081 2082 2086 2088
Adaptive learning rules 1749—1750 (see also “Sunspot equilibria learning”)
Admati, A. 1667
Aggregate excess demand function 1541 1543
Aggregate excess demand function, OGM 2113
Aggregate excess demand function, static exchange economy 2051 2052 2055
Aggregate excess demand function, static production economy 2083 2085
Aiyagari, S.R. 1758
Alaoglu's theorem 1840—1841 1842 1859 1880
Albeverio, S. 2205
Aliprantis, C.D. 1842 1872 1873 1881 1882 1888 1890
All-solutions algorithm (Drexler) 2061 2064 2065
Allais paradox 1826
Allais, M.A. 1768 1771 1796 1900 1946
Allen — Hicks elasticity of substitution 2011
Allen, B. 1784 2013
Allen, F. 1609
allocation 1883
Allocation, complete contingent-commodity equilibrium consumption 1633
Allocation, contingent market equilibrium allocations 1540
Allocation, financial market equilibrium allocations 1540
Allocation, intertemporal allocation problems 1836—1837
Allocation, OGM 1907
Allocation, OGM, abstract exchange economy 1910
Allocation, OGM, feasible allocation 1907—1908 1921 1930
Allocation, OGM, optimality of equilibrium allocations 1926—1937
Allocation, production economy (GEI) 1578
Allocation, quasi-Walrasian allocation 2184
Allocation, under uncertainty 1837
Allocation, Walrasian allocation 2184
Alternative, theorem of 1626
Anderson — Dierker theorem 2197—2198 2204
Anderson — Rashid theorem 2179
Anderson, P.W. 2210 2220
Anderson, R.M. 2145—2205
Anderson, S.P. 2024
Anger, B. 1805
Anscombe — Aumann preference 1796—1798
Anscombe, F.J. 1796—1797
Anticipated utility theory 1778—1779
Antonelli, G.B. 2077 2085
APT model (asset pricing) 1667
Araujo, A. 1639 1640 1844 1872 1873 1874 1875 1889 2102
Arbitrage, approximate solution of PDE 1664—1665
Arbitrage, arbitrage pricing functional 1649 1653
Arbitrage, arbitrage-free see “No-arbitrage”
Arbitrage, meaning of 1648
Arbitrage, no-arbitrage equilibrium 1534—1536
Arbitrage, no-arbitrage equilibrium, stochastic exchange economies 1559—1562
Arbitrage, no-arbitrage pricing 1607 1617
Arbitrage, no-arbitrage pricing, capital asset pricing model (CAPM) 1623
Arbitrage, pricing 1625—1627
Arbitrage, pricing, redundant securities 1655—1656
Arbitrage, self-financing strategies and 1648—1649
Archibald, G.C. 2024 2040
Archimedean axiom 1769 1770 1797 1800 1801 1805—1806
Archimedean point 1901
Arnold, L. 1669
Arrow model 1625—1626 1635
Arrow securities 1539
Arrow — Debreu model 1524 1525 1560 1684 1798 1900 1901 1964 1970 1981
Arrow — Hahn monopolistic competition 1984
Arrow — Pratt theory see “Risk aversion”
Arrow, K.J. 1539 1573 1617 1666 1809 1811 1813 1814 1822 1854 1855 1900 1903 1917 1923 1929 1946 1964 1984 1997 2031 2052 2068 2069 2071 2099 2210 2220 2221
Arrow, K.J., “Role of Securities” paper 1618—1620
Arthur, W.B. 2220
Ascending bit auctions 1773
Ascoli's theorem 1850 1851 2170—2171
Asset pricing, APT model 1667
Asset pricing, arbitrage pricing 1625—1627
Asset pricing, CAPM see “Capital asset pricing model (CAPM)”
Asset pricing, continuous-time derivative 1646—1665
Asset pricing, continuous-time derivative, American put option 1659 1665
Asset pricing, continuous-time derivative, arbitrage PDE 1664—1665
Asset pricing, continuous-time derivative, arbitrage pricing 1648—1649 1655—1656
Asset pricing, continuous-time derivative, Brownian case 1656—1659
Asset pricing, continuous-time derivative, equivalent martigale measure 1650—1652
Asset pricing, continuous-time derivative, equivalent martigale measure, alternative sufficient conditions for 1653—1654
Asset pricing, continuous-time derivative, equivalent martigale measure, state price process and 1654—1655
Asset pricing, continuous-time derivative, equivalent martigale measure, viability 1653
Asset pricing, continuous-time derivative, free lunch 1653—1654
Asset pricing, continuous-time derivative, numeraire-invariance 1650
Asset pricing, continuous-time derivative, PDE method, extensions of 1665
Asset pricing, continuous-time derivative, PDE method, Krylov's theorem 1663 1665
Asset pricing, continuous-time derivative, PDE method, Marklov case 1659—1664
Asset pricing, continuous-time derivative, reading sources 1669
Asset pricing, continuous-time derivative, short-term rate 1647
Asset pricing, continuous-time derivative, spanning and Girsanov's theorem 1656—1659
Asset pricing, equilibrium asset pricing models 1668
Asset pricing, extended recursive preference models 1631—1632
Asset pricing, frictions 1668
Asset pricing, reading sources, asymmetric information 1667
Asset pricing, reading sources, derivative asset pricing 1669
Asset pricing, reading sources, equilibrium models 1668
Asset pricing, reading sources, frictions 1668
Asset pricing, reading sources, mutual funds and 1667
Asset pricing, reading sources, recursive models 1670
Asset pricing, recursive models 1629—1631 1670
Asset pricing, representative-agent pricing 1625 1627—1631 1639—1642
Asset pricing, risk 1632
Asset pricing, security markets 1617 1625—1632
Asset pricing, state-pricing 1626
Asset pricing, stochastic Euler equation 1629—1631
Asset pricing, time consistency 1631—1632
Assets, endogenous asset formation in GEI model 1608—1609
Assets, financial 1530
Assets, goods delivery assets 1593
Assets, income delivery assets 1593
Assets, nominal 1530 (see also “Incomplete markets nominal
Assets, numeraire 1532—1523 1594
Assets, secondary or derivative 1530 1607—1608
Assets, social and private consequences 1548—1549
Asymmetric information 1667
Attraction, basin of 2213
Attractors, Feigenbaum attractor 2216
Attractors, Henon attractor 2216—2217
Attractors, Lorenz attractor 2217
Attractors, Mackey — Glass attractor 2217
Attractors, strange 2215
Auerbach and Kotlikoff model 2122 2123—2125 2126
Auerbach, A.J. 2122 2123—2125 2126
Aumann continuum economy 2180 2182 2184 2192—2193 2194 2195 2203
Aumann continuum economy, hyperfinite exchange economy compared 2187—2190
Aumann equivalence theorem 1888 2190 2192
Aumann, R.J. 1796—1797 2177
Autarky, OGM 1920—1921 1942
Average cost pricing 1967 1972 1974 1976 1981 1984
Azariadis, C. 1689—1690 1696 1715 1726 1728 1733 1734 1738 1740 1758
Azema's martingale 1639
Bachelier, L. 1669
Back, K. 1668 1868 1888
Balasko, Y. 1551 1685 1688 1692 1758 1914 1922 1932 2112 2114—2115
Banach lattice 1841 1847 1850 1851 1864 1870
Bankruptcy, costs in Modigliani and Miller model 1620
Bankruptcy, GEI model 1579 1609
Barnett, W.A. 2210
Barone-Adesi, G. 1669
Basin of attraction 2213
Baumol, W. 2210
Beato and Mas — Colell model 1977—1980 1981 1983 1984
Beato, P. 1968—1969 1971 1974 1976 1977 1989
Becker, R.A. 1890 2136
Belief generation 1745
Bellman equation 1643
Bellman, R. 2094
Benassy, J.—P. 1997—2045
Benhabib, J. 1943 2110 2116 2210 2217 2219 2221 2223
Benveniste, L.M. 1932 1936 2094 2102
Bercovici, H. 1890
Bergman, Y. 1668
Berndt, E.R. 2210
Bernoulli's hypothesis 1777—1778
Bertrand — Edgeworth model 2001—2003 2011—2013 2015
Bertrand's rule 2000 2002
Bertsekas, D. 2105 2107 2109
Beta pricing formula 1607
Betweenness property 1773—1776
Betweenness property, behavioural implications of 1773
Betweenness property, very weak substitution 1776
Betweenness property, weighted utility theory 1774—1776
Bewley, T.F. 1836 1837 1844 1845 1849 1854 1858 1860 1861 1863 1864 1879—1881 1880 1883 1884 1905 2075 2090 2199 2204 2220
Bhattacharya, S. 1667
Bifurcation theory 1722—1723 1725
Bifurcation theory, in space of economies 1741—1743
Bifurcation theory, subcritical Flip bifurcation 1742
Bifurcation theory, supercritical Flip bifurcation 1742
Billingsley, P. 2176 2179
Binmore, K. 1748
Birkhoff ergodic theorem 2215
Black — Scholes call option pricing model 1660
Black — Scholes formula 1647
Black — Scholes model 1562 1565 1660
Black — Scholes option pricing formula 1658—1659 1660 1664
Black, F. 1622 1651 1665 1669
Blackwell, D. 2094
Blanchard, O.J. 1717 1752
Blaschke, W. 1800
Block, H.D. 2069
Blume's theorem 1709
Blume, L. 2103 2205
Boiteux, M. 1971—1972
Bojan, P. 1860 1882
Boldrin and Montrucchio theorem 2224
Boldrin, M. 2102 2111 2210 2219 2220 2223 2224
Bollerslev, T. 2231
Bolzano — Weierstrass theorem 2166
Bona, J.L. 1945 2122
Bonnisseau and Cornet theorem 1969 1971 1972 1977—1978 1981—1983 1984
Bonnisseau, J.M. 1969 1977—1978
Borel measure 1659 1837 1845 1846
Borel probability 1790
Borel sets 1845 2176 2179
Borsuk — Ulam theorem 1551
Bounded functions 2170
Bounded quantifiers 2157
Bounded rationality 1667
Bowen, R. 2214
Boyd, J.H. 1888
Boyle, P. 1669
Brandenburger, A. 2205
Braun, R.A. 2137
Bray, M. 1667
Breeden, D. 1643 1646 1668 1669 1670
Brock, W.A. 1670 2099 2209—2234
Brouwer's fixed-point theorem 1550 1551 1964 1971 1977 1979 1985 2053—2054 2055 2057 2115
Brown — Robinson theorem 2185 2196—2197
Brown, D. 1668 1670 1844
Brown, D.J. 1842 1872 1873 1881 1882 1888 1930 1940 1945 1963—1995 2122 2181 2196—2197 2198 2204 2205
Brownian motion 1647 1669 1671
Brownian motion, dynamic spanning 1636 1638 1656—1659
Brownian motion, Girsanov's theorem 1656—1659
Brownian motion, standard filtration 1671
bubbles 1685
Budget gap 2183
Bulirsch — Stoer method 2063
Bulirsch, R. 2063
Bundles, cartesian product bundle 1555 1557
Bundles, commodity bundles 1574 1590 1687 1798 1836 1847 1871
Bundles, commodity bundles, not present in market 1871
Bundles, commodity bundles, OGM 1901 1902 1903—1904 1905—1906 1913
Bundles, commodity bundles, pricing 1847
Bundles, consumption bundles 1528 1540 1852
Bundles, mod 2 Euler number of 1555—1557
Bundles, tangent bundle 1555
Bundles, vector bundles 1553—1555 1564
Bundles, “present in the market” 1847 1871
Burke, J.L. 1906 1916 1919 1920 1922 2112 2114
Burkinshaw, O. 1842 1872 1873 1881 1888 1890
Burmeister, E. 2108
Bushaw, D.W. 2026
Capital Accumulation 1753
Capital Asset Pricing Model (CAPM) 1607 1622—1625 1642—1646
Capital asset pricing model (CAPM), consumption-based (CCAPM) 1642—1646 1667
Capital asset pricing model (CAPM), consumption-based (CCAPM), Ito's endowments 1644—1645
Capital asset pricing model (CAPM), consumption-based (CCAPM), Ito's lemma 1643—1644
Capital asset pricing model (CAPM), endowment spanning 1622
Capital asset pricing model (CAPM), market portfolio 1624
Capital asset pricing model (CAPM), no-arbitrage pricing 1623
Capital asset pricing model (CAPM), non-triviality assumption 1624
Capital asset pricing model (CAPM), reading sources 1667
Capital asset pricing model (CAPM), utility function 1622
Capital asset pricing model (CAPM), variance aversion 1622
Caplin, A. 2005
CAPM see “Capital asset pricing model (CAPM)”
Cardinal coordinate independence 1799
Cardinal coordinate independence, comonotonicity 1809—1810
Carino, D. 1667
Carr, P. 1669
Cartesian product bundle 1555 1557
Cash-in-advance constraints 1668 1757
Cass, D. 1539 1667 1686 1688 1690 1691 1692 1903 1914 1922 1932 1936 1940 2112 2114—2115
Cauchy sequency 2103
CCAPM (consumption-based CAPM) 1642—1646 1667
Cellina's theorem 1979
Certainty equivalent 1778—1779
Chamberlain, G. 1622 1623 1667
Chamberlin model 2003—2005
Chamberlin model, Edgeworth non-existence problem 2005—2007
Chamberlin model, entry, with 2007—2008
Chamberlin model, numbers of competitors 2011
Chamberlin model, reviewed of 2013—2014
Chamberlin model, substitutability and 2010—2011
Chamberlin, E.H. 1997
Chang, L.J. 2137
Chaos 2209—2234
Chaos, attractors, Feigenbaum attractor 2216
Chaos, attractors, Henon attractor 2216—2217
Chaos, attractors, Lorenz attractor 2217
Chaos, attractors, Mackey — Glass attractor 2217
Chaos, attractors, strange 2215
Chaos, chaotic dynamics 2213—2215
Chaos, chaotic dynamics, basin of attraction 2213
Chaos, chaotic dynamics, ergodic measure 2214
Chaos, chaotic dynamics, eventually periodic 2215
Chaos, chaotic dynamics, forward orbit 2213
Chaos, chaotic dynamics, prime period 2215
Chaos, chaotic dynamics, quadratic maps 2216—2217 2219
Chaos, chaotic dynamics, tent maps 2215—2216 2219
Chaos, chaotic equilibrium dynamics 2219—2224
Chaos, detection in dynamic time series 2224—2228
Chaos, detection in dynamic time series, fractal dimension 2226—2228
Chaos, detection in dynamic time series, reconstruction of dynamics 2224—2226
Chaos, detection in dynamic time series, smooth deterministic explanation 2224
Chaos, detection in dynamic time series, Takens' theorem 2224 2225 2226
Chaos, Feigenbaum and 2216 2222
Chaos, growth theory 2220 2223—2224
Chaos, Li — Yorke theorem 2217—2218
Chaos, Liapunov exponents 2212—2213 2214—2215 2216 2219 2227
Chaos, OGM 2217—2218 2219 2221—2223
Chaos, OGM, perfect foresight dynamics, backward 2222
Chaos, OGM, perfect foresight dynamics, forward 2222
Chaos, OGM, Ruelle — Takens scenario 2222
Chaos, period doubling route to 2211—2212 2222 2223
Chaos, period three 2217—2218
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