Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
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Zawartość
Pełne teksty:
Warianty tytułu
Abstrakty
CONTENTS
Introduction................................5
Preliminaries...........................6
I. Games....................................9
1. Constrained games............9
2. Indefinite games...............13
II. Applications.........................18
3. Model A: atomless............18
4. Model B: atomic................26
Appendix..................................30
References..............................40
Subject index...........................42
Słowa kluczowe
Tematy
Miejsce publikacji
Warszawa
Copyright
Seria
Rozprawy Matematyczne
tom/nr w serii:
246
Liczba stron
43
Liczba rozdzia³ów
Opis fizyczny
Dissertationes Mathematicae, Tom CCXLVI
Daty
otrzymano
1984-02
wydano
1986
Twórcy
autor
- Institute of Computer Science, Polish Academy of Sciences, 00-901 Warszawa, P. O. Box 22, Polska
Bibliografia
- [1] K. J. Arrow and G. Debreu, Existence of an equilibrium for a competitive economy, Econometrica 22 (1954), 265-290.
- [2] R. J. Aumann, Markets with a continuum of traders, Econometrica 32 (1964), 39-50.
- [3] R. J. Aumann, Existence of competitive equilibria in markets with a continuum of traders, Econometrica 34 (1966), 1-17.
- [4] G. Debreu, A social equilibrium existence theorem, Proc. Nat. Acad. Sci. USA 38 (1952), 886-893.
- [5] S. Dubuc, Topological convex sets, Dissertation, Cornell University, Ithaca (1966), (unpublished),
- [6] N. Dunford and J. T, Schwartz, Linear operators, Part I: General theory, Interscience, New York 1958.
- [7] R. E. Edwards, Functional analysis, Holt, Rinehart and Winston, New York 1965.
- [8] R. Engelking, General topology, Polish Scientific Publishers, Warsaw 1977.
- [9] S. D. Fläm, Abstract economies and games, Soochow J. Math. 5 (1979), 155-162.
- [10] J. Greenberg, B. Shitovitz and A. Wieczorek, Existence of equilibria in atomless production economies with price dependent preferences, J. Math. Econ. 6 (1979), 31-41.
- [11] S. P. Gudder, Convexity and mixtures, SIAM Rev. 19 (1977), 221-240.
- [12] M. Hausner, Multidimensional utilities, in: R. M. Thrall, C. H. Coombs and R. L. Davis, eds., Decision processes, Wiley, New York 1954, 167-180 (Chapter 12).
- [13] T. Ichiishi, A social coalitional equilibrium existence lemma, Econometrica 49 (1981), 369-377.
- [14] T. Ichiishi, Non-cooperation and cooperation, in: M. Deistler, E. Fürst and G. Schwödiauer, eds., Games, economic dynamics and time series analysis, Physica Verlag, Vienna 1982.
- [15] T. Ichiishi, Game theory for economic analysis, Academic Press, New York 1983.
- [16] A. Idzik, Fixed point theorems for families of functions, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 26 (1978), 913-916.
- [17] R. E. Jamison, R. C. O'Brien and P. D. Taylor, On embedding a compact convex set into a locally convex topological vector space, Pacific J. Math. 64 (1976), 193-205.
- [18] D. C. Kay and E. W. Womble, Axiomatic convexity theory and relationship between the Caratheodory, Helly and Radon numbers, Pacific J. Math. 38 (1971), 471-485.
- [19] H. Keiding, Cores and equilibria in an infinite economy, in: J. Łoś and M. W. Łoś, eds., Computing equilibria: how and why, North-Holland, Amsterdam 1976, 65-73.
- [20] A. Kiruta, A. Rubinov and E. Yanowskaya, Optimalnyj vybor raspredelenij v slozhnykh socialno-ekonomicheskikh zadachakh, Nauka, Leningrad 1980.
- [21] K. Kuratowski, Topology, Vol. I, Academic Press, New York 1966.
- [22] J. Lawson, Embedding of compact convex sets and locally compact cones. Pacific J. Math. 66 (1976), 443-453.
- [23] V. L. Makarov and A. M. Rubinov, Matematicheskaya teoriya ekonomicheskoj dinamiki i ravnovesija, Nauka, Moscow, 1973.
- [24] J. von Neumann and O. Morgenstern, Theory of games and economic behavior. Second edition, Princeton University Press 1947.
- [25] P. Prakash and M. R. Sertel, On the existence of noncooperative equilibria in social systems, Discussion paper 92, Center for mathematical studies in economics, Northwestern University, Evanston 1974.
- [26] J. W. Roberts, The embedding of compact convex sets in locally convex spaces, Canad. J. Math. 30 (1978), 449-454.
- [27] A. P. Robertson and W. Robertson, Topological vector spaces, Cambridge University Press 1964.
- [28] W. Shafer and H. Sonnenschein, Equilibrium in abstract economies without ordered preferences, J. Math. Econ. 2 (1975), 345-348.
- [29] M. H. Stone, Postulates for the barycentric calculus, Ann. Mat. Pura Appl. 29 (1949), 25-30.
- [30] T. Świrszcz, Monadic functors in convexity, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 22 (1974), 39-42.
- [31] E. Szpilrajn (Marczewski), Sur l'extension de l'ordre partiel. Fund. Math. 16 (1930), 386-389.
- [32] K. Vind, Edgeworth-allocations in an exchange economy with many traders, Int. Econ, Rev. 5 (1964), 165-177.
- [33] A. Wieczorek, Abstract equilibria, CORE discussion paper 7726, Université Catholique de Louvain 1977.
- [34] A. Wieczorek, Equilibria in an exchange economy with many agents, in: M. Aoki and A. Marzollo, eds., New trends in dynamic system theory and economics. Academic Press, New York 1979, 291-299.
- [35] Wen-tsün Wu, On non-cooperative games with restricted domains of activities, Scientia Sinica 10 (1961), 387-409.
- [36] K. Yamamoto, On the equilibrium existence in abstract economies, Hokkaido Math. J, 7 (1978), 289-299.
Języki publikacji
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Uwagi
Identyfikator YADDA
bwmeta1.element.zamlynska-21952fd9-956c-44a0-a2d5-bf37ed93d90e
Identyfikatory
ISBN
83-01-066504
ISSN
0012-3862
Kolekcja
DML-PL
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