Game theoretic derivation of discrete distributions and discrete pricing formulas

نویسنده

  • Akimichi Takemura
چکیده

In this expository paper we illustrate the generality of game theoretic probability protocols of Shafer and Vovk (2001) in finite-horizon discrete games. By restricting ourselves to finite-horizon discrete games, we can explicitly describe how discrete distributions with finite support and the discrete pricing formulas, such as the Cox-Ross-Rubinstein formula, are naturally derived from game-theoretic probability protocols. Corresponding to any discrete distribution with finite support, we construct a finite-horizon discrete game, a replicating strategy of Skeptic, and a neutral forecasting strategy of Forecaster, such that the discrete distribution is derived from the game. Construction of a replicating strategy is the same as in the standard arbitrage arguments of pricing European options in the binomial tree models. However the game theoretic framework is advantageous because no a priori probabilistic assumption is needed.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

MATHEMATICAL ENGINEERING TECHNICAL REPORTS Game theoretic derivation of discrete distributions and discrete pricing formulas

In this expository paper we illustrate the generality of game theoretic probability protocols of Shafer and Vovk (2001) in finite-horizon discrete games. By restricting ourselves to finite-horizon discrete games, we can explicitly describe how discrete distributions with finite support and the discrete pricing formulas, such as the Cox-Ross-Rubinstein formula, are naturally derived from game-th...

متن کامل

Game-Theoretic Approach for Pricing Decisions in Dual-Channel Supply Chain

In the current study, a dual-channel supply chain is considered containing one manufacturer and two retailers. It is assumed that the manufacturer and retailers have the same decision powers. A game-theoretic approach is developed to analyze pricing decisions under the centralized and decentralized scenarios. First, the Nash model is established to obtain the equilibrium decisions in the decent...

متن کامل

A Game Theoretic Approach for Greening, Pricing, And Advertising Policies in A Green Supply Chain

In this paper, greening, pricing, and advertising policies in a supply chain will be examined with government intervention. The supply chain has two members. First, a manufacturer seeking to determine the wholesale price and the greening level and second, a retailer that has to determine the advertising cost and the retail price. The government is trying to encourage the manufacturer to green t...

متن کامل

Optimized ‎P‎ricing Decisions In a Multi-Level Supply Chain With Various Power and Channel Structures‎: ‎A Game-Theoretic Approach‎

This article studies the optimization of pricing decisions in a supply chain with different channels under different power structure. Three different channel will be considered here; these include: the decentralized, the semi-integrated, and the integrated channel. There are two types of power balance structures for both the decentralized and the semi-integrated channels. The first type is a le...

متن کامل

A game Theoretic Approach to Pricing, Advertising and Collection Decisions adjustment in a closed-loop supply chain

This paper considers advertising, collection and pricing decisions simultaneously for a closed-loop supplychain(CLSC) with one manufacturer(he) and two retailers(she). A multiplicatively separable new demand function is proposed which influenced by pricing and advertising. In this paper, three well-known scenarios in the game theory including the Nash, Stackelberg and Cooperative games are expl...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2005