Games with Discontinuous Payoffs
证明了一类无限策略博弈的均衡存在性,推广了Dasgupta和Maskin的早期结果,并给出了有限博弈序列纯策略均衡极限为极限博弈均衡的条件,应用于多维霍特林选址博弈。
We prove an equilibrium existence result for a class of games with an infinite number of strategies. Our theorem generalises an earlier result by Dasgupta and Maskin. We also identify conditions under which the limit of pure-strategy equilibria of a sequence of finite games is an equilibrium for the limit game. We apply this result to obtain new existence results for the multi-firm, l-dimensional version of Hotellings's location game. The techniques used suggest a technique for computing such equilibria.