{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,31]],"date-time":"2026-03-31T07:44:28Z","timestamp":1774943068321,"version":"3.50.1"},"reference-count":24,"publisher":"Elsevier BV","issue":"3","license":[{"start":{"date-parts":[[2001,5,1]],"date-time":"2001-05-01T00:00:00Z","timestamp":988675200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Social Sciences"],"published-print":{"date-parts":[[2001,5]]},"DOI":"10.1016\/s0165-4896(00)00071-8","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T19:47:13Z","timestamp":1027626433000},"page":"251-273","source":"Crossref","is-referenced-by-count":76,"title":["Discrete convexity and equilibria in economies with indivisible goods and money"],"prefix":"10.1016","volume":"41","author":[{"given":"Vladimir","family":"Danilov","sequence":"first","affiliation":[]},{"given":"Gleb","family":"Koshevoy","sequence":"additional","affiliation":[]},{"given":"Kazuo","family":"Murota","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0165-4896(00)00071-8_BIB1","series-title":"General Competitive Analysis","author":"Arrow","year":"1971"},{"key":"10.1016\/S0165-4896(00)00071-8_BIB2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0165-4896(98)00015-8","article-title":"Buying several indivisible goods","volume":"37","author":"Bevia","year":"1999","journal-title":"Mathematical Social Sciences"},{"key":"10.1016\/S0165-4896(00)00071-8_BIB3","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1006\/jeth.1996.2269","article-title":"Competitive equilibrium in an exchange economy with indivisibilities","volume":"74","author":"Bikhchandani","year":"1997","journal-title":"Journal of Economic Theory"},{"key":"10.1016\/S0165-4896(00)00071-8_BIB4","unstructured":"Danilov, V.I., Koshevoy, G.A., Sotskov, A.I., 1995. Equilibrium in exchange economies with indivisibilities, mimeo (abstract SOR96)."},{"key":"10.1016\/S0165-4896(00)00071-8_BIB5","unstructured":"Danilov, V.I., Koshevoy, G.A., 1998. Discrete convexity and unimodularity. I, mimeo (accepted in Advances in Mathematics)."},{"key":"10.1016\/S0165-4896(00)00071-8_BIB6","series-title":"Combinatorial Structures and Their Applications","first-page":"6987","article-title":"Submodular functions, matroids, and certain polyhedra","author":"Edmonds","year":"1970"},{"key":"10.1016\/S0165-4896(00)00071-8_BIB7","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1016\/0022-0531(72)90100-7","article-title":"Optima and market equilibria with indivisible commodities","volume":"5","author":"Emmerson","year":"1972","journal-title":"Journal of Economics Theory"},{"key":"10.1016\/S0165-4896(00)00071-8_BIB8","series-title":"Finite and Infinite Sets, I","first-page":"285","article-title":"Generalized polymatroids","author":"Frank","year":"1984"},{"key":"10.1016\/S0165-4896(00)00071-8_BIB9","doi-asserted-by":"crossref","first-page":"489","DOI":"10.1007\/BF01589418","article-title":"Generalized polymatroids and submodular flows","volume":"42","author":"Frank","year":"1988","journal-title":"Mathematical Programming"},{"key":"10.1016\/S0165-4896(00)00071-8_BIB10","series-title":"Submodular Functions and Optimization","author":"Fujishige","year":"1991"},{"key":"10.1016\/S0165-4896(00)00071-8_BIB11","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1007\/BF01769865","article-title":"Equilibrium in a discrete exchange economy with money","volume":"13","author":"Gale","year":"1984","journal-title":"International Journal of Game Theory"},{"key":"10.1016\/S0165-4896(00)00071-8_BIB12","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1006\/jeth.1999.2531","article-title":"Walrasian equilibrium with gross substitutes","volume":"87","author":"Gul","year":"1999","journal-title":"Journal of Economic Theory"},{"key":"10.1016\/S0165-4896(00)00071-8_BIB13","doi-asserted-by":"crossref","first-page":"542","DOI":"10.2307\/1909559","article-title":"Indivisibilit\u00e9s dans une \u00e9conomie d\u2019echanges","volume":"38","author":"Henry","year":"1970","journal-title":"Econometrica"},{"key":"10.1016\/S0165-4896(00)00071-8_BIB14","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1016\/0304-4068(82)90038-6","article-title":"The central assignment game and the assignment markets","volume":"10","author":"Kaneko","year":"1982","journal-title":"Journal of Mathematical Economics"},{"key":"10.1016\/S0165-4896(00)00071-8_BIB16","series-title":"General Equilibrium","article-title":"General equilibrium","author":"McKenzie","year":"1987"},{"key":"10.1016\/S0165-4896(00)00071-8_BIB17","doi-asserted-by":"crossref","first-page":"272","DOI":"10.1006\/aima.1996.0084","article-title":"Convexity and Steinitz\u2019s exchange property","volume":"124","author":"Murota","year":"1996","journal-title":"Advances in Mathematics"},{"key":"10.1016\/S0165-4896(00)00071-8_BIB18","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1007\/BF02680565","article-title":"Discrete convex analysis","volume":"83","author":"Murota","year":"1998","journal-title":"Mathematical Programming"},{"key":"10.1016\/S0165-4896(00)00071-8_BIB19","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1287\/moor.24.1.95","article-title":"M-convex function on generalized polymatroid","volume":"24","author":"Murota","year":"1999","journal-title":"Mathematics of Operations Research"},{"key":"10.1016\/S0165-4896(00)00071-8_BIB20","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1007\/BF01769864","article-title":"Core and equilibria with indivisibilities","volume":"13","author":"Quinzii","year":"1984","journal-title":"International Journal of Game Theory"},{"key":"10.1016\/S0165-4896(00)00071-8_BIB21","series-title":"Convex Analysis","author":"Rockafellar","year":"1970"},{"key":"10.1016\/S0165-4896(00)00071-8_BIB22","series-title":"Theory of Linear and Integer Programming","author":"Schrijver","year":"1987"},{"key":"10.1016\/S0165-4896(00)00071-8_BIB23","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1007\/BF01753431","article-title":"Cores of convex games","volume":"1","author":"Shapley","year":"1971","journal-title":"International Journal of Game Theory"},{"key":"10.1016\/S0165-4896(00)00071-8_BIB24","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1007\/BF01283369","article-title":"Competitive equilibria with indivisible goods","volume":"44","author":"Svensson","year":"1984","journal-title":"Journal of Economics"},{"key":"10.1016\/S0165-4896(00)00071-8_BIB15","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1016\/S0304-4068(97)83316-2","article-title":"Existence of an equilibrium in a competitive economy with indivisibilities and money","volume":"28","author":"van der Laan","year":"1997","journal-title":"Journal of Mathematical Economics"}],"container-title":["Mathematical Social Sciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0165489600000718?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0165489600000718?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,22]],"date-time":"2019-04-22T07:21:17Z","timestamp":1555917677000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0165489600000718"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,5]]},"references-count":24,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2001,5]]}},"alternative-id":["S0165489600000718"],"URL":"https:\/\/doi.org\/10.1016\/s0165-4896(00)00071-8","relation":{},"ISSN":["0165-4896"],"issn-type":[{"value":"0165-4896","type":"print"}],"subject":[],"published":{"date-parts":[[2001,5]]}}}