This study explores the equilibrium outcomes in the contexts of quantity-setting and price-setting mixed duopolies with consistent conjectures of both the social welfare maximizing public firm and the relative profit maximizing private firm. Similar to the private duopoly composed of only relative profit maximizing firms, we show that in the mixed duopoly, the equilibrium outcomes in the quanti...

Conjectural search queries (is python case sensitive, is millennium stadium heated) embody attempts by Web users to verify whether a particular property (soluble in water?, case sensitive?, heated?) does or does not apply to a particular instance (iodine, python, millennium stadium). This paper considers such queries to be a data source of attributes of open-domain classes. Conjectural attribut...

We study the structure of the Goulden-Jackson-Vakil formula that relates Hurwitz numbers to some conjectural “intersection numbers” on a conjectural family of varieties Xg,n of dimension 4g − 3 + n. We give explicit formulas for the properly arranged generating function for these “intersection numbers”, and prove that it satisfies Hirota equations. This generalizes and substantially simplifies ...

We construct a polarized Hodge structure on the primitive part of Chen and Ruan’s orbifold cohomology Hk orb(X) for projective SL-orbifolds X satisfying a “Hard Lefschetz Condition”. Furthermore, the total cohomology ⊕ p,q H p,q orb(X) forms a mixed Hodge structure that is polarized by every element of the Kähler cone of X. Using results of Cattani-Kaplan-Schmid this implies the existence of an...

As a result of COVID-19, the export medical goods has been subject to various global restrictions. Consequently, several countries have increased supply alleviate effects this health crisis. This study entails theoretical and empirical analysis such remedial measures. To end, we utilized consistent conjectural variation in three-country model entailing firms competing two reciprocal markets Cou...