The Taylor principle is quite usually considered as a central condition for price determinacy. Recently, however, this has been questioned on several grounds, notably because (i) this condition is a condition for local determinacy, not global determinacy (ii) it has been derived in “Ricardian” economies, and it appears that going to a nonRicardian framework makes a very big difference for the d...

We provide several techniques to extend finite memory determinacy from some restricted class of games played on a finite graph to a larger class. As a particular example, we study energy parity games. First we show that under some general conditions the finite memory determinacy of a class of two-player win/lose games played on finite graphs implies the existence of a Nash equilibrium built fro...

This essay discusses work on the determinacy and indeterminacy of equilibrium in models of competitive markets. Determinacy typically refers to situations in which equilibria are finite in number, and local comparative statics can be precisely described. This essay describes basic results on generic determinacy for exchange economies and the general underlying principles, together with various ...

This is a draft of the first three sections of a paper in preparation in which we study cardinality of Borel quotients in extensions of determinacy models by the forcing P(ω)/Fin.

For determinate measures ß having moments of every order we define and study an index of determinacy which checks the stability of determinacy under multiplication by even powers of \t — z\ for z a complex number. Using this index of determinacy, we solve the problem of determining for which z£C the sequence {p\T\z))n ( m 6 N ) belongs to I2 , where (p„)„ is the sequence of orthonormal polynomi...

Floral organ identity and meristem determinacy in plants are controlled by combinations of activities mediated by MADS box genes. AGAMOUS-LIKE6 (AGL6)-like genes are MADS box genes expressed in floral tissues, but their biological functions are mostly unknown. Here, we describe an AGL6-like gene in rice (Oryza sativa), MOSAIC FLORAL ORGANS1 (MFO1/MADS6), that regulates floral organ identity and...

Game theory is usually considered applied mathematics, but a few game-theoretic results, such as Borel determinacy, were developed by mathematicians for mathematics in a broad sense. These results usually state determinacy, i.e. the existence of a winning strategy in games that involve two players and two outcomes saying who wins. In a multi-outcome setting, the notion of winning strategy is ir...

We study the connections between determinacy of rational expectations equilibrium, and expectational stability or learnability of that equilibrium, in a relatively general New Keynesian model. Adoption of policies that induce both determinacy and learnability of equilibrium has been considered fundamental to successful policy in the literature. We ask what types of economic assumptions drive di...

We consider nondeterministic concurrent games played on event structures and study their determinacy problem—the existence of winning strategies. It is known that when the winning conditions of the games are characterized by a collection of finite winning sets/plays, a restriction (called race-freedom) on the boards where the games are played guarantees determinacy. However the games may no lon...

We discuss several notions of ‘simple’ winning strategies for Banach-Mazur games on graphs, such as positional strategies, move-counting or length-counting strategies, and strategies with a memory based on finite appearance records (FAR). We investigate classes of Banach-Mazur games that are determined via these kinds of winning strategies. Banach-Mazur games admit stronger determinacy results ...