Fixed point theorems are the standard tool used to prove the existence of equilibria in mathematical economics. This paper shows how to prove a slight generalization of Brouwer's and Kakutani's fixed point theorems using the familiar techniques of drawing and shifting curves in the plane and is,...

The spectrum for third generation (3G) mobile communications for the German market was alloted to operators by means of an auction. This resulted in a highly competitive outcome: six operators were given rights to provide 3G services. Government revenues from this auction were a staggering EUR...

Ken Arrow (1998) asks, “What has economics to say about racial discrimination?” He replies – entirely correctly – that racial “segregation within an industry – that is, firms with either all black or all white labor forces” – may be explained by economic theory, but “the...

Existence of equilibrium is proved for an exchange strategic market game with complete markets. An example of equilibrium with inconsistent prices is given.

Consider a general equilibrium model where agents may behave strategically. Specifically, suppose some firm issues new shares. If the primary market price is controlled by the issuing institution and investors' expectations on future equity prices are constant in their share purchases, the share...

90 Classical problems in economics are concerned with the solutions of several simultaneous nonlinear optimization problems, one for each consumer or producer, all facing constraints posed by the scarcity of resources. Often their interests conflict, and it is generally impossible to find a...

Succeeding Dutta, Sen and Vohra (1995) and Saijo, Tatamitani and Yamato (1997), we define two types of natural mechanisms quantity and price-quantity types, in convex production economies, and characterize the class of Pareto subsolutions doubly implementable in Nash and strong Nash equilibria...

Succeeding Dutta, Sen and Vohra (1995) and Saijo, Tatamitani and Yamato (1997), we define two types of natural mechanisms quantity and price-quantity types, in convex production economies, and characterize the class of Pareto subsolutions doubly implementable in Nash and strong Nash equilibria...

Succeeding Dutta, Sen and Vohra (1995) and Saijo, Tatamitani and Yamato (1995), we define several conditions of natural mechanisms in production economies, and proposed two types of natural mechanisms, that is, the quantity and price-quantity types.