决策制定和带有矢量结果的游戏

IF 0.3 4区经济学 Q4 ECONOMICS

B E Journal of Theoretical Economics Pub Date : 2019-09-01 DOI:10.1515/bejte-2018-0170

Jaeok Park

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引用次数: 0

摘要

摘要本文主要研究具有向量结果的决策和博弈问题。我们提供了一个通用的框架，其中结果位于一个真实的拓扑向量空间中，决策者对结果的偏好用一个偏好锥来描述，该偏好锥被定义为满足连续性公理的凸锥。进一步，我们定义了效用表示的概念，并引入了结果和效用之间的对偶关系。我们提供了一些条件，在这些条件下，偏好锥由一个效用表示，并且是一组效用的对偶。我们提出了一个具有向量结果的决策问题，并研究了最优选择。我们还考虑具有向量结果的博弈，并描述均衡集的特征。最后，我们根据我们的描述讨论了均衡选择问题。

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Decision Making and Games with Vector Outcomes

Abstract In this paper, we study decision making and games with vector outcomes. We provide a general framework where outcomes lie in a real topological vector space and the decision maker’s preferences over outcomes are described by a preference cone, which is defined as a convex cone satisfying a continuity axiom. Further, we define a notion of utility representation and introduce a duality between outcomes and utilities. We provide conditions under which a preference cone is represented by a utility and is the dual of a set of utilities. We formulate a decision-making problem with vector outcomes and study optimal choices. We also consider games with vector outcomes and characterize the set of equilibria. Lastly, we discuss the problem of equilibrium selection based on our characterization.

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来源期刊

B E Journal of Theoretical Economics ECONOMICS-

CiteScore

0.80

自引率

25.00%

发文量

期刊介绍： We welcome submissions in all areas of economic theory, both applied theory and \"pure\" theory. Contributions can be either innovations in economic theory or rigorous new applications of existing theory. Pure theory papers include, but are by no means limited to, those in behavioral economics and decision theory, game theory, general equilibrium theory, and the theory of economic mechanisms. Applications could encompass, but are by no means limited to, contract theory, public finance, financial economics, industrial organization, law and economics, and labor economics.