Given non-degenerate intervals X of R and an increasing ordered mapping Φ : X × · · · ×X → R , games in strategic form between N players with the X as action sets with the following three properties are studied: the set of Nash equilibria E is convex, Φ is constant on E and in each Nash equilibrium at least one payoff function is not partially differentiable w.r.t. its own action. The results a...

In this paper we develop a valuation model when there exist two competitive firms that face irreversible investment decisions under the demand uncertainty. We propose a numerical procedure to derive both project values and equilibrium strategies in the duopolistic environment. In numerical examples we consider two different economic conditions, which are labelled first mover advantage and secon...

This paper discusses the Nash gables for a class of uncertain weakly coupled large-scale systems. Particularly, the infinite horizon stochastic Nash games are addressed by considering uncertainty as state-dependent noise. First, the asymptotic structure for the solutions of the cross-coupled stochastic algebraic Riccati equations (CSAREs) and the condition for the existence of solutions are der...

This article presents a dynamic, rational expectations equilibrium model of asset prices where the drift of fundamentals (dividends) shifts between two unobservable states at random times. I show that in equilibrium, investors’ willingness to hedge against changes in their own “uncertainty” on the true state makes stock prices overreact to bad news in good times and underreact to good news in b...

The inverse equilibrium bidding strategies {v i (b)} n i=1 in a first-price auction with n asymmetric bidders, where v i is the value of bidder i and b is the bid, are solutions of a system of n first-order ordinary differential equations, with 2n boundary conditions and a free boundary on the right. In this study we show that when the number of bidders is large (n 1), this problem has a bounda...

The prevalence of commercial activities whose profit and cost are correlated with weather risk makes weather derivatives valuable financial instruments that enable hedging of price or volumetric (quantity) risk in many industries. This paper proposes a multi-period equilibrium pricing model for weather derivative. In our stylized economy representative agents of weather-sensitive industries opt...

In lowest unique bid auctions, N players bid for an item. The winner is whoever places the lowest bid, provided that it is also unique. We use a grand canonical approach to derive an analytical expression for the equilibrium distribution of strategies. We then study the properties of the solution as a function of the mean number of players, and compare them with a large data set of internet auc...

F or several decades, the selection of a proper tax base has been among the most serious concerns for the economic policy makers. The computable general equilibrium models analysis provides a comprehensive framework for the investigation of the effects of the adopted policies on the economy of a country. In the present study, using a static computable general equilibrium, the effects of tax ref...

The paper studies the impacts of learning behaviour of electrical-power suppliers on electricity-spot-market equilibrium under repeated linear supply-function bidding. In the markets, the supplier will conduct ‘learning’ to improve his strategic bidding in order to obtain greater profit. Therefore, it is significant to explore the impacts of such learning behaviour on market equilibria and mark...