有限策略型博弈中的相关策略与具有合约的博弈及其均衡

The Correlated Strategy and Game With Contract and Equilibria in the Games of Finitely Strategic Form

在Myerson介绍相关策略和具有合约的博弈的基础上,给出有限策略型博弈中相关策略、具有合约的博弈、最小化最大值、期望支付配置集和满足个人理性的期望支付配置集等定义,技术性地得出它们的一些性质;利用刘宗谦给出的混合策略性质及其记号,说明了相关策略与策略组合、内含签约的均衡与Nash均衡之间的关系,并提供其理论上的证明,得出操作的方法.并通过例子说明论文中的一些结果,验证了Fudenberg和Tir-ile所得出的相应结论.

The definitions of correlated strategy, game with contract, minimax value, the allocation set of expectation pay- ment and one which satisfies the individual-rationality etc. were given, in the games of finitely strategic form through the concepts of correlated strategy and game with contract that is based on Myerson. Some properties or characteristics for these concepts were technically obtained. Using the properties in mixed strategies and the notation given by Liu Zong qian, the relations of correlated strategies and mixed strategies, equilibrium with contract and Nash equilibrium were explanationed and proved theoretically. The methods of operating them were obtained. Then some outcomes were showed by examples, and the corresponding result given by Fudenberg and Tirole were examined.