References$(function(){PrimeFaces.cw("TieredMenu","widget_formSmash_upper_j_idt204",{id:"formSmash:upper:j_idt204",widgetVar:"widget_formSmash_upper_j_idt204",autoDisplay:true,overlay:true,my:"left top",at:"left bottom",trigger:"formSmash:upper:referencesLink",triggerEvent:"click"});}); $(function(){PrimeFaces.cw("OverlayPanel","widget_formSmash_upper_j_idt206_j_idt209",{id:"formSmash:upper:j_idt206:j_idt209",widgetVar:"widget_formSmash_upper_j_idt206_j_idt209",target:"formSmash:upper:j_idt206:permLink",showEffect:"blind",hideEffect:"fade",my:"right top",at:"right bottom",showCloseIcon:true});});

Bayesian Inference in Structural Second-Price AuctionsPrimeFaces.cw("AccordionPanel","widget_formSmash_some",{id:"formSmash:some",widgetVar:"widget_formSmash_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_all",{id:"formSmash:all",widgetVar:"widget_formSmash_all",multiple:true});
function selectAll()
{
var panelSome = $(PrimeFaces.escapeClientId("formSmash:some"));
var panelAll = $(PrimeFaces.escapeClientId("formSmash:all"));
panelAll.toggle();
toggleList(panelSome.get(0).childNodes, panelAll);
toggleList(panelAll.get(0).childNodes, panelAll);
}
/*Toggling the list of authorPanel nodes according to the toggling of the closeable second panel */
function toggleList(childList, panel)
{
var panelWasOpen = (panel.get(0).style.display == 'none');
// console.log('panel was open ' + panelWasOpen);
for (var c = 0; c < childList.length; c++) {
if (childList[c].classList.contains('authorPanel')) {
clickNode(panelWasOpen, childList[c]);
}
}
}
/*nodes have styleClass ui-corner-top if they are expanded and ui-corner-all if they are collapsed */
function clickNode(collapse, child)
{
if (collapse && child.classList.contains('ui-corner-top')) {
// console.log('collapse');
child.click();
}
if (!collapse && child.classList.contains('ui-corner-all')) {
// console.log('expand');
child.click();
}
}
PrimeFaces.cw("AccordionPanel","widget_formSmash_responsibleOrgs",{id:"formSmash:responsibleOrgs",widgetVar:"widget_formSmash_responsibleOrgs",multiple:true}); 2011 (English)Doctoral thesis, comprehensive summary (Other academic)
##### Abstract [en]

##### Place, publisher, year, edition, pages

Stockholm: Department of Statistics, Stockholm University , 2011. , 11 p.
##### Keyword [en]

Asymmetry, Bid function approximation, Common values, Gamma model, Gaussian model, Markov Chain Monte Carlo, Private values, Variable selection, Internet auctions
##### National Category

Probability Theory and Statistics
##### Research subject

Statistics
##### Identifiers

URN: urn:nbn:se:su:diva-57278ISBN: 978-91-7447-276-9OAI: oai:DiVA.org:su-57278DiVA: diva2:415150
##### Public defence

2011-06-10, hörsal 3, hus B, Universitetsvägen 10 B, Stockholm, 13:00 (English)
##### Opponent

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt448",{id:"formSmash:j_idt448",widgetVar:"widget_formSmash_j_idt448",multiple:true});
##### Supervisors

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt454",{id:"formSmash:j_idt454",widgetVar:"widget_formSmash_j_idt454",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt463",{id:"formSmash:j_idt463",widgetVar:"widget_formSmash_j_idt463",multiple:true});
##### Note

##### List of papers

The aim of this thesis is to develop efficient and practically useful Bayesian methods for statistical inference in structural second-price auctions. The models are applied to a carefully collected coin auction dataset with bids and auction-specific characteristics from one thousand Internet auctions on eBay. Bidders are assumed to be risk-neutral and symmetric, and compete for a single object using the same game-theoretic strategy. A key contribution in the thesis is the derivation of very accurate approximations of the otherwise intractable equilibrium bid functions under different model assumptions. These easily computed and numerically stable approximations are shown to be crucial for statistical inference, where the inverse bid functions typically needs to be evaluated several million times.

In the first paper, the approximate bid is a linear function of a bidder's signal and a Gaussian common value model is estimated. We find that the publicly available book value and the condition of the auctioned object are important determinants of bidders' valuations, while eBay's detailed seller information is essentially ignored by the bidders. In the second paper, the Gaussian model in the first paper is contrasted to a Gamma model that allows intrinsically non-negative common values. The Gaussian model performs slightly better than the Gamma model on the eBay data, which we attribute to an almost normal or at least symmetrical distribution of valuations. The third paper compares the model in the first paper to a directly comparable model for private values. We find many interesting empirical regularities between the models, but no strong and consistent evidence in favor of one model over the other. In the last paper, we consider auctions with both private-value and common-value bidders. The equilibrium bid function is given as the solution to an ordinary differential equation, from which we derive an approximate inverse bid as an explicit function of a given bid. The paper proposes an elaborate model where the probability of being a common value bidder is a function of covariates at the auction level. The model is estimated by a Metropolis-within-Gibbs algorithm and the results point strongly to an active influx of both private-value and common-value bidders.

At the time of the doctoral defense, the following papers were unpublished and had a status as follows: Paper 1: Epub ahead of print. Paper 2: Manuscript. Paper 3: Manuscript. Paper 4: Manuscript.

Available from: 2011-05-12 Created: 2011-05-05 Last updated: 2013-07-12Bibliographically approved1. Bayesian Inference in Structural Second-Price Common Value Auctions$(function(){PrimeFaces.cw("OverlayPanel","overlay470081",{id:"formSmash:j_idt499:0:j_idt503",widgetVar:"overlay470081",target:"formSmash:j_idt499:0:partsLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

2. Bayesian Inference in Structural Second-Price Auctions with Gamma Distributed Common Values$(function(){PrimeFaces.cw("OverlayPanel","overlay415129",{id:"formSmash:j_idt499:1:j_idt503",widgetVar:"overlay415129",target:"formSmash:j_idt499:1:partsLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

3. Bayesian Comparison of Private and Common Values in Structural Second-Price Auctions$(function(){PrimeFaces.cw("OverlayPanel","overlay415130",{id:"formSmash:j_idt499:2:j_idt503",widgetVar:"overlay415130",target:"formSmash:j_idt499:2:partsLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

4. Bayesian Inference in Structural Second-Price Auctions with both Private-Value and Common-Value Bidders$(function(){PrimeFaces.cw("OverlayPanel","overlay415132",{id:"formSmash:j_idt499:3:j_idt503",widgetVar:"overlay415132",target:"formSmash:j_idt499:3:partsLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

References$(function(){PrimeFaces.cw("TieredMenu","widget_formSmash_lower_j_idt1177",{id:"formSmash:lower:j_idt1177",widgetVar:"widget_formSmash_lower_j_idt1177",autoDisplay:true,overlay:true,my:"left top",at:"left bottom",trigger:"formSmash:lower:referencesLink",triggerEvent:"click"});}); $(function(){PrimeFaces.cw("OverlayPanel","widget_formSmash_lower_j_idt1178_j_idt1180",{id:"formSmash:lower:j_idt1178:j_idt1180",widgetVar:"widget_formSmash_lower_j_idt1178_j_idt1180",target:"formSmash:lower:j_idt1178:permLink",showEffect:"blind",hideEffect:"fade",my:"right top",at:"right bottom",showCloseIcon:true});});