Strategic Disclosure of Random Variables
AbstractWe consider a game G(n) played by two players. There are n independent random variables Z(1),...,Z(n), each of which is uniformly distributed on [0,1]. Both players know n, the independence and the distribution of these random variables, but only player 1 knows the vector of realizations z := (z(1),...,z(n)) of them. Player 1 begins by choosing an order z(k(1)),...,z(k(n)) of the realizations. Player 2, who does not know the realizations, faces a stopping problem. At period 1, player 2 learns z(k(1)). If player 2 accepts, then player 1 pays z(k(1)) euros to player 2 and play ends. Otherwise, if player 2 rejects, play continues similarly at period 2 with player 1 offering z(k(2)) euros to player 2. Play continues until player 2 accepts an offer. If player 2 has rejected n-1 times, player 2 has to accept the last offer at period n. This model extends Moser''s (1956) problem, which assumes a non-strategic player 1.We examine different types of strategies for the players and determine their guarantee levels. Although we do not find the exact value v(n) of the game G(n) in general, we provide an interval I(n) = [a(n),b(n)] containing v(n) such that the length of I(n) is at most 0.07 and converges to 0 as n tends to infinity. We also point out strategies, with a relatively simple structure, which guarantee that player 1 has to pay at most b(n) and player 2 receives at least a(n). In addition, we completely solve the special case G(2) where there are only two random variables. We mention a number of intriguing open questions and conjectures, which may initiate further research on this subject.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization in its series Research Memoranda with number 024.
Date of creation: 2009
Date of revision:
Contact details of provider:
Web page: http://www.maastrichtuniversity.nl/web/UMPublications.htm
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-07-03 (All new papers)
- NEP-CTA-2009-07-03 (Contract Theory & Applications)
- NEP-EXP-2009-07-03 (Experimental Economics)
- NEP-GTH-2009-07-03 (Game Theory)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Manzini, P. & Sadrieh, A. & Vriend, N.J., 2002.
"On Smiles, Winks, and Handshakes as Coordination Devices,"
2002-40, Tilburg University, Center for Economic Research.
- Paola Manzini & Abdolkarim Sadrieh & Nicolaas J. Vriend, 2009. "On Smiles, Winks and Handshakes as Coordination Devices," Economic Journal, Royal Economic Society, vol. 119(537), pages 826-854, 04.
- Paola Manzini & Abdolkarim Sadrieh & Nicolaas J. Vriend, 2002. "On Smiles, Winks, and Handshakes as Coordination Devices," Working Papers 456, Queen Mary, University of London, School of Economics and Finance.
- Valley, Kathleen L. & Moag, Joseph & Bazerman, Max H., 1998. "'A matter of trust':: Effects of communication on the efficiency and distribution of outcomes," Journal of Economic Behavior & Organization, Elsevier, vol. 34(2), pages 211-238, February.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Charles Bollen).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.