An Exact Bound on Epsilon for Nonemptiness of Epsilon Cores of Games

References

• Allen B., Barnett W., Moulin H., Salles M., Schofield N. Incentives in market games with asymmetric information: Approximate (NTU) cores in large economies. Social Choice, Welfare and Ethics (1994) (Cambridge University Press, Cambridge, MA) Google Scholar
• Allen B., Wooders M. H. On the existence of core allocations in a large economy with incentive compatibility constraints. Topics in Mathematical Economics and Game Theory: Essays in Honor of Robert J. Aumann (1999) 23(A.M.S., Providence, RI) . Fields Institute CommunicationsCrossref, Google Scholar
• Anderson R. An elementary core equivalence theorem. Econometrica (1978) 46:1483–1487Crossref, Google Scholar
• Billera L. J. Some theorems on the core of an n-person game without side payments. SIAM J. Appl. Math. (1970) 18:567–579Crossref, Google Scholar
• Bondareva O. N. Theory of the core in an n-person game (in Russian). Vestnik Leningrad (1962) 13:141–142Google Scholar
• Conley J. Convergence theorems on the core of a public goods economy: Sufficient conditions. J. Econom. Theory (1994) 62:161–85Crossref, Google Scholar
• Conley J., Wooders M. H. Tiebout economies with differential genetic types and endogenously chosen crowding characteristics. J. Econom. Theory (2001) 98:261–294Crossref, Google Scholar
• Crawford V., Knoer E. Job matchings with heterogeneous firms and workers. Econometrica (1981) 49:437–50Crossref, Google Scholar
• Forges F., Heifetz A., Minelli E. Incentive compatible core and competitive equilibrium in differential information economies. (1999) (University of Cergy-Pontoise). Thema discussion paper No. 99-06Google Scholar
• Forges F., Minelli E. A note on the incentive compatible core. (1999) (University of Cergy-Pontoise). Thema discussion paper No. 99-02Google Scholar
• Garratt R., Qin C-Z. On market games when agents cannot be two places at once. Games Econom. Behavior (2000) 31:165–173Crossref, Google Scholar
• Hildenbrand W., Kirman A. P.Equilibrium Analysis (1988) (North-Holland, Amsterdam-New York-Oxford-Tokyo) Advanced Textbooks in EconomicsGoogle Scholar
• Kaneko M., Wooders M. H. Cores of partitioning games. Math. Soc. Sci. (1982) 3:313–327Crossref, Google Scholar
• Kaneko M., Wooders M. H. The nonemptiness of the f-core of a game without side payments. Internat. J. Game Theory (1996) 25:245–258Crossref, Google Scholar
• Kannai Y., Aumann R., Hart S. The core and balancedness. Handbook of Game Theory (1992) 1(Elsevier Science Publishers B.V.)355–395Google Scholar
• Kovalenkov A., Wooders M. H.Approximate cores of games and economies with clubs (1999a) . University of Warwick Department of Economics working paper No. 535. Combining Autonomous University of Barcelona WP. 390.97 and 391.97; ⟨ http://www.warwick.ac.uk/fac/soc/Economics/wooders/on-line.html⟩Google Scholar
• Kovalenkov A., Wooders M. H. Epsilon cores of games with limited side payments; Nonemptiness and equal treatment. Games and Economic Behavior (1999b) . Forthcoming. ⟨ http://www.warwick.ac.uk/fac/soc/Economics/wooders/on-line.html⟩Google Scholar
• Maschler M., Peleg B., Shapley L. Geometric properties of the kernel, nucleolus and related solution concepts. Math. Oper. Res. (1979) 4:303–338Link, Google Scholar
• Roth A. E. The evolution of the labor market for medical interns and residents: A case study in game theory. J. Political Econom. (1984) 92:991–1016Crossref, Google Scholar
• Scarf H. E. The core of an n-person game. (1965) . Cowles Foundation discussion paper No. 182Google Scholar
• Scarf H. E. The core of an n-person game. Econometrica (1967) 35:50–67Crossref, Google Scholar
• Shapley L. S. On balanced sets and cores. Naval Res. Logist. Quart. (1967) 14:453–460Crossref, Google Scholar
• Shapley L. S., Shubik M. Quasi-cores in a monetary economy with nonconvex preferences. Econometrica (1966) 34:805–827Crossref, Google Scholar
• Valentine F. A.Convex Sets (1964) (McGraw-Hill, New York-San Francisco-Toronto-London) Google Scholar
• Wooders M. H. Asymptotic cores and asymptotic balancedness of large replica games. (1979) (State University of New York at Stony Brook Department of Economics). Working Paper No. 215. ⟨ http://www.warwick.ac.uk/fac/soc/Economics/wooders/on-line.html⟩Google Scholar
• Wooders M. H. The epsilon core of a large replica game. J. Mathe. Econom. (1983) 11:277–300Crossref, Google Scholar
• Wooders M. H., Mertens J.-F., Sorin S. Large games and economies with effective small groups. Game Theoretic Approaches to General Equilibrium Theory (1994) (Kluwer Academic Publishers, Dordrecht-Boston-London) . SFB 303 University of Bonn discussion paper no. 215 revised September 1992Crossref, Google Scholar
• Wooders M. H. Equivalence of games and markets. Econometrica (1994a) 62:1141–1160Crossref, Google Scholar
• Wooders M. H.Approximating games and economies by markets (1994b) (University of Toronto). working paper no. 9415 ⟨ http://www.warwick.ac.uk/fac/soc/Economics/wooders/on-line.html⟩Google Scholar
• Wooders M. H. Multijurisdictional economies, the Tiebout Hypothesis, and sorting. Proc. National Acad. Sci. (1999) 96:10585–10587⟨ http://www.pnas.org/cgi/content/full/96/19/10585⟩Crossref, Google Scholar
• Wooders M. H., Zame W. R. Approximate cores of large games. Econometrica (1984) 52:1327–1350Crossref, Google Scholar