逆极大值定理及其一些推论
Inverse maximum theorems and some consequences
摘要：
我们处理逆最大值定理，这是由青山，小宫，李等人，朴和小宫，还有山内。作为我们的结果的后果，我们的状态和证明逆最大纳什定理，并表明，任何广义纳什博弈可以减少到一个经典的纳什博弈，在适当的假设。此外，我们还证明了Arrow和Debreu关于广义Nash对策解的存在性的一个结果实际上等价于Debreu-Fan-Glicksberg关于经典Nash对策的结果，而后者又等价于Kakutani-Fan-Glicksberg的不动点定理。
英文摘要：
We deal with inverse maximum theorems, which are inspired by the ones given by Aoyama, Komiya, Li et al., Park and Komiya, and Yamauchi. As a consequence of our results, we state and prove an inverse maximum Nash theorem and show that any generalized Nash game can be reduced to a classical Nash game, under suitable assumptions. Additionally, we show that a result by Arrow and Debreu, on the existence of solutions for generalized Nash games, is actually equivalent to the one given by Debreu-Fan-Glicksberg for classical Nash games, which in turn is equivalent to Kakutani-Fan-Glisckberg's fixed point theorem.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
