Prakash and Sertel's theory of non-cooperative equilibria in social systems -- twenty years later
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- Tan, Kok-Keong & Yuan, Xian-Zhi, 1994. "Existence of equilibrium for abstract economies," Journal of Mathematical Economics, Elsevier, vol. 23(3), pages 243-251, May.
- Shafer, Wayne J., 1976. "Equilibrium in economies without ordered preferences or free disposal," Journal of Mathematical Economics, Elsevier, vol. 3(2), pages 135-137, July.
- Banks, Jeffrey S & Sundaram, Rangarajan K, 1994. "Switching Costs and the Gittins Index," Econometrica, Econometric Society, vol. 62(3), pages 687-694, May.
- Prasanta K. PATTANAIK & Yongsheng XU, 1990. "On Ranking Opportunity Sets in Terms of Freedom of Choice," Discussion Papers (REL - Recherches Economiques de Louvain) 1990036, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
- Prem Prakash & Murat R. Sertel, 1974. "On the Continuity of Cartesian Product and Factorisation," Discussion Papers 82, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Borglin, Anders & Keiding, Hans, 1976. "Existence of equilibrium actions and of equilibrium : A note on the `new' existence theorems," Journal of Mathematical Economics, Elsevier, vol. 3(3), pages 313-316, December.
- Yannelis, Nicholas C. & Zame, William R., 1986. "Equilibria in Banach lattices without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 15(2), pages 85-110, April.
- Prem Prakash & Murat R. Sertel, 1973. "(Topological) Semivector Spaces: Convexity and Fixed Point Theory," Discussion Papers 52, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Florenzano, Monique, 1983.
"On the existence of equilibria in economies with an infinite dimensional commodity space,"
Journal of Mathematical Economics, Elsevier, vol. 12(3), pages 207-219, December.
- Florenzano Monique, 1982. "On the existence of equilibria in economies with an infinite dimensional commodity space," CEPREMAP Working Papers (Couverture Orange) 8217, CEPREMAP.
- Bewley, Truman F., 1972. "Existence of equilibria in economies with infinitely many commodities," Journal of Economic Theory, Elsevier, vol. 4(3), pages 514-540, June.
- Yannelis, Nicholas C., 1987. "Equilibria in noncooperative models of competition," Journal of Economic Theory, Elsevier, vol. 41(1), pages 96-111, February.
- Mas-Colell, Andrew, 1974. "An equilibrium existence theorem without complete or transitive preferences," Journal of Mathematical Economics, Elsevier, vol. 1(3), pages 237-246, December.
- Duffie, Darrell, 1986. "Competitive equilibria in general choice spaces," Journal of Mathematical Economics, Elsevier, vol. 15(1), pages 1-23, February.
- Yannelis, Nicholas C. & Prabhakar, N. D., 1983. "Existence of maximal elements and equilibria in linear topological spaces," Journal of Mathematical Economics, Elsevier, vol. 12(3), pages 233-245, December.
- Sertel, Murat, 1989. "On the continuity of closed convex hull," Mathematical Social Sciences, Elsevier, vol. 18(3), pages 297-299, December.
- Barbera, S. & Barrett, C. R. & Pattanaik, Prasanta K., 1984. "On some axioms for ranking sets of alternatives," Journal of Economic Theory, Elsevier, vol. 33(2), pages 301-308, August.
- Tarafdar, E., 1991. "A fixed point theorem and equilibrium point of an abstract economy," Journal of Mathematical Economics, Elsevier, vol. 20(2), pages 211-218.
- Khan, M. Ali & Vohra, Rajiv, 1984. "Equilibrium in abstract economies without ordered preferences and with a measure space of agents," Journal of Mathematical Economics, Elsevier, vol. 13(2), pages 133-142, October.
- Shafer, Wayne & Sonnenschein, Hugo, 1975.
"Equilibrium in abstract economies without ordered preferences,"
Journal of Mathematical Economics, Elsevier, vol. 2(3), pages 345-348, December.
- Wayne Shafer & Hugo Sonnenschein, 1974. "Equilibrium in Abstract Economies Without Ordered Preferences," Discussion Papers 94, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Prem Prakash & Murat R. Sertel, 1974. "Hyperspaces of Topological Vector Spaces: Their Embedding in Topological Vector Spaces," Discussion Papers 83, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Kreps, David M, 1979. "A Representation Theorem for "Preference for Flexibility"," Econometrica, Econometric Society, vol. 47(3), pages 565-577, May.
- Toussaint, Sabine, 1984. "On the existence of equilibria in economies with infinitely many commodities and without ordered preferences," Journal of Economic Theory, Elsevier, vol. 33(1), pages 98-115, June.
- Barbera, Salvador & Pattanaik, Prasanta K., 1984. "Extending an order on a Set to the power set: Some remarks on Kannai and Peleg's approach," Journal of Economic Theory, Elsevier, vol. 32(1), pages 185-191, February.
- Khan, M. Ali, 1984. "A remark on the existence of equilibria in markets without ordered preferences and with a Riesz space of commodities," Journal of Mathematical Economics, Elsevier, vol. 13(2), pages 165-169, October.
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