arXiv subjects

Panagiotis Tsikogiannopoulos

Publications and source records attributed to Panagiotis Tsikogiannopoulos.

2 recordsLinked to original sources

arXiv2015

Solving the two envelopes problem with the Intermediate Amount Strategy

This paper introduces a strategy in the two envelopes problem that utilizes the prior beliefs of two players about the amount of money that their envelopes can contain. This strategy gives them more information about the decision of switching they have to make when one of the envelopes is opened and the amount it contains is revealed. The player who implements this strategy can predict which amount is larger with a probability greater than 1/2 so that he will have a greater expected return from the game than that of the other player who will not use the same strategy. The symmetrical case in which both players implement the same strategy is also analyzed.

math.HO↗

arXiv2014

Variations on the Two Envelopes Problem

There are many papers written on the Two Envelopes Problem that usually study some of its variations. In this paper we will study and compare the most significant variations of the problem. We will see the correct decisions for each player and we will show the mathematics that supports them. We will point out some common mistakes in these calculations and we will explain why they are incorrect. Whenever an amount of money is revealed to the players in some variation, we will make our calculations based on the revealed amount, something that is not achieved in other papers.

math.HO↗