Vector measure games based on measures with values in an infinite dimensional vector space

Games and Economic Behavior

Volumn 24, Issue 1-2, 1998, Pages 25-46

  Milchtaich, Igal ^a,b  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

^b NORTHWESTERN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039413600     PISSN: 08998256     EISSN: None     Source Type: Journal    
DOI: 10.1006/game.1998.0657     Document Type: Article

References (13)

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3. Diestel, J., and Uhl, J. J., Jr. (1977). Vector Measures. Providence, RI: American Mathematical Society.
4. Dunford, N., and Schwartz, J. T. (1958). Linear Operators. Part I. New York: Interscience.
5. Hart, S., and Monderer, D. (1997). "Potentials and Weighted Values of Nonatomic Games," Math. Oper. Res. 22, 619-630.
6. Hildenbrand, W. (1974). Core and Equilibria of a Large Economy. Princeton, NJ: Princeton Univ. Press.
7. Klein, E., and Thompson, A. C. (1984). Theory of Correspondences. New York: Wiley &Sons.
8. Kohlberg, E. (1973). "On Non-Atomic Games: Conditions for f ° μ ∈ pNA," Int. J. Game Theory 2, 87-98.
9. Milchtaich, I. (1995). "The Value of Nonatomic Games Arising from Certain Noncooperative Congestion Games," discussion paper #87, Center for Rationality and Interactive Decision Theory, The Hebrew University of Jerusalem.
10. Monderer, D., and Neyman, A. (1988). "Values of Smooth Nonatomic Games: The Method of Multilinear Approximation," in The Shapley Value: Essays in Honor of Lloyd S. Shapley (A. E. Roth, Ed.). New York: Cambridge Univ. Press.
11. Sroka, J. J. (1993). "The Value of Certain pNA Games Through Infinite-Dimensional Banach Spaces," Int. J. Game Theory 22, 123-139.
12. Tauman, Y. (1982). "A Characterization of Vector Measure Games in pNA," Israeli. Math. 43, 75-96.
13. Wagner, D. H. (1977). "Survey of Measurable Selection Theorems," SIAM J. Control Optim. 15, 859-903.