A Note on Kelso and Crawford's Gross Substitutes Condition

References

• Bevia C., Quinzii M., Silva J. Buying several indivisible goods. Math. Soc. Sci. (1999) 37:1–23Crossref, Google Scholar
• Danilov V., Koshevoy G. Discrete convexity and unimodularity I. Adv. Math. (2001) . ForthcomingGoogle Scholar
• Danilov V., Koshevoy G., Lang C. Gross substitution, discrete convexity, and submodularity. Discrete Appl. Math. (2002) . ForthcomingGoogle Scholar
• Frank A., Hajnal A., Lovász L., Sós V. T. Generalized polymatroids. Finite and Infinite Sets, I (1984) (North-Holland, Amsterdam, The Netherlands) 285–294Crossref, Google Scholar
• Fujishige S. A note on Frank's generalized polymatroids. Discrete Appl. Math. (1984) 7:105–109Crossref, Google Scholar
• Fujishige S.Submodular Functions and Optimization. Ann. Discrete Math. (1991) 47(North-Holland, Amsterdam, The Netherlands) Google Scholar
• Gale D., Shapley L. S. College admissions and the stability of marriage. Amer. Math. Monthly (1962) 69:9–15Crossref, Google Scholar
• Gul F., Stacchetti E. Walrasian equilibrium with gross substitutes. J. Econom. Theory (1999) 87:95–124Crossref, Google Scholar
• Gul F., Stacchetti E. The English auction with differentiated commodities. J. Econom. Theory (2000) 92:66–95Crossref, Google Scholar
• Kelso A. S., Crawford V. P. Job matching coalition formation and gross substitutes. Econometrica (1982) 50:1483–1504Crossref, Google Scholar
• Milgrom P. Putting auction theory to work: The simultaneous ascending auction. J. Political Econom. (2000) 108:245–272Crossref, Google Scholar
• Murota K. Convexity and Steinitz's exchange property. Adv. Math. (1996) 124:272–311Crossref, Google Scholar
• Murota K. Discrete convex analysis. Math. Programming (1998) 83:313–371Crossref, Google Scholar
• Murota K.Discrete Convex Analysis (2003) (SIAM). ForthcomingCrossref, Google Scholar
• Murota K., Shioura A. M-convex function on generalized polymatroid. Math. Oper. Res. (1999) 24:95–105Link, Google Scholar
• Murota K., Tamura A. New characterization of M-convex functions and their applications to economic equilibrium models. Discrete Appl. Math. (2002) . ForthcomingGoogle Scholar
• Roth A. E., Sotomayor M. A.Two-Sided Matching (1990) (Cambridge University Press, Cambridge, U.K.) Crossref, Google Scholar
• Shapley L. S. Core of convex games. Internat. J. Game Theory (1971) 1:11–26Crossref, Google Scholar
• Tomizawa N. Theory of hyperspace XVI—On the structures of hedrons (in Japanese). (1983) . Papers of the Technical Groups on Circuits and Systems, Institute of Electronics and Communication Engineers of Japan, CAS82-174Google Scholar