# Accession Number:

## AD0422809

# Title:

## ON GAMES INVOLVING BLUFFING

# Descriptive Note:

# Corporate Author:

## RAND CORP SANTA MONICA CA

# Personal Author(s):

# Report Date:

## 1950-08-01

# Pagination or Media Count:

## 36.0

# Abstract:

A class of two-person games possessing the following general characteristics are considered a At the beginning of the game, and at various stages of the game, a chance mechanism furnishes numbers xi and yi from the unit interval 0,1 to the two players, I and II respectively. I knows xi but not yi, II knows yi but not xi. b Each player pays a certain amount to start the game, regardless of his subsequent moves. c The game is a many-move game of the following type. Is initial move, is one of a fixed number of possible moves, which are known to II. However II does not know Is move. d After I has made the initial move, II has a choice of a finite number of moves, known to II, and so on. The initial maneouvering continues in this fashion for a fixed number of turns. The game continues in this way for a fixed number of phases, N, at the end of which there is a payoff to I of K and II receives - K. The problem of determining the best possible mode of play for each player in the usual sense of maximizing or minimizing the expectation is one that arises in many important applications of statistics and probability theory.

# Descriptors:

# Subject Categories:

- Statistics and Probability