I am studying trust game (Berg, 1995). There are 2 players in this game: A and B.

A moves first. A sends an amount between 0 and 10 to B. The amount is tripled in B's side. B sends back an amount between 0 and what she got to A.

Suppose A sent 5 to B. B receives 3*5 = 15. B sent back 9 to A. A receives 9.

In this case, the profit of A is 9 - 5 = 4, and the profit of B is 15 - 9 = 6.

(it is a turn-based game).

In fact, I am focusing on repeated trust game, i.e. A and B play again and again. In some rounds A moves first, and in some rounds, B moves first.

I wonder if there exist some studies that analyze the behavior of two players in this repeated game? I tried to look on Google Scholar, but I only found the analysis for **repeated** prisoner-dilemma or repeated sequential prisoner dilemma (i.e. A and B have only two choices: cooperate or deficit, and they play by turn).

I found a lot of studies that analyze the behavior of players in game empirically, but I did not find a study that analyzes the behavior theoretically, e.g. analyze the Nash equilibrium for two players.

I note that the game sometimes is called investment game.

I appreciate any help.

References:

[1] Berg, Joyce, John Dickhaut, and Kevin McCabe. "Trust, reciprocity, and social history." Games and economic behavior 10.1 (1995): 122-142.

mathematicalquestion here? -- This site is not about sociology. $\endgroup$ – Stefan Kohl Aug 3 '17 at 15:20