【摘要】This paper fixes the purported empty-core problem of the Coase theorem by establishing two mathematical versions of the Coase theorem. The simpler version says that in a coalitional production economy without transaction costs, the maximal payoffs will be produced by the optimal firms and will be split within the always non-empty (new) core. The mathematical model for this theorem yields the smallest upper bound of transaction costs below which the monopoly is optimal and thus be formed.

【报告人简介】赵进钢教授本科毕业于北京航天航空大学数学系(77级)、硕士毕业于中国人民大学数量经济学专业(81级)，是第一位在耶鲁大学获得经济博士(92年)的大陆学者，现任加拿大萨省大学经济学终身教授。在博弈论、产业组织等领域取得多项创建性成果。他创建的分合解 (hybrid solution)曾与网络博弈(network game)、信息经济学（information economics)一起被美国经济协会的期刊(Journal of Economic Perspective)在2000年预测为21世纪微观经济理论的重要前沿课题。他最先用合作博弈分析兼并行为，使得非空核(nonempty core)和盈利能力(profitability)并列成为研究企业兼并等企业合作行为的两大基石(Theory and Decision，2009)。