We expose a theorem of Pila and Wilkie on counting rational points in sets definable in o-minimal structures and some applications of this theorem to problems in diophantine geometry due to Masser, Peterzil, Pila, Starchenko, and Zannier.

William L. Wilkie is Nathe Professor of Marketing, University of Notre Dame (e-mail: [email protected]). How Did This Issue Come About? For much of my career, I have been intrigued with trying to comprehend what the field of marketing is actually about (and what it might be about, what it could be about, what it should be about, and so forth). In recent years, I have joined with my colleague Eliza...

In 1981, Paris and Wilkie [21] indicated it was an open question whether IΣ0 would satisfy the Second Incompleteness Theorem for Herbrand deduction. We will show that IΣ0 will both obey and defy the Herbrandized version of the Second Incompleteness Theorem, depending on which of several equivalent definitions of IΣ0 one examines.

In light of the perceived benefits derived from inward FDI, many developed economies have systematically established investment promotion agencies (IPAs) to attract foreign investment. While IPAs in the past have been created by a wide variety of countries and regions, their target economies have overwhelmingly been in developed markets. The rise of emerging market MNEs is significantly changin...

We investigate the effect of affirmative action policies in a statistical discrimination model with two stages. A group of workers face discrimination in both hiring and promotion decisions of the firm, and the regulator is free to intervene in both stages. We show that there are affirmative action policies which can eliminate negative employer beliefs by increasing educational investment in th...

This paper develops a framework to analyze the implications of a model where workers with heterogeneous effort costs choose between firms with alternate promotion policies. In one path, the worker faces strict up-or-out rules that potentially destroy valuable firm specific human capital. The other allows for the possibility of permanent employment without promotion. A costly investment, in the ...

Due to the increased internationalization of business R&D, foreign-controlled multinational enterprises are now seen by most governments as a central actor in national innovation systems and as a catalyst for upgrading in global value chains. As a result, competition among countries to attract the R&D activities of multinational enterprises has increased substantially during the last years. The...

This paper develops a political economy model to examine the implications of selection under an authoritarian regime. We formalize fiscal policy choice local governments, focusing on two mechanisms and their for public investment welfare spending. A growth-oriented promotion system induces officials increase investment, which may output but crowd out transfers. mimics recent investment-driven g...

Relationship marketing typically requires organizations to continually collect customer information. Two distinct approaches coexist to encourage customers to disclose information: reducing privacy concern and building trust, which in the past have been examined in isolation. In the present study, regulatory focus theory is used to integrate both approaches and examine their distinct response b...

The Australian approach to tobacco control has been a comprehensive one, encompassing mass media campaigns, consumer information, taxation policy, access for smokers to smoking cessation advice and pharmaceutical treatments, protection from exposure to tobacco smoke and regulation of promotion. World-first legislation to standardise the packaging of tobacco was a logical next step to further re...